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  • Articles: DFG German National Licenses  (130,187)
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  • 1996  (130,187)
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  • 101
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4507-4512 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Profile effects of the radiation, temperature, and the effect of atomic processes on thermal condensation instability in the tokamak edge are considered. The most important influence comes from a strong condensation effect due to the atomic processes and particle transport. © 1996 American Institute of Physics.
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  • 102
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4489-4495 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In the GAMMA 10 tandem mirror [M. Inutake et al., Phys. Rev. Lett. 55, 939 (1985)], plasmas with a high beta value (ratio of plasma pressure to magnetic pressure) are produced by using an ICRF (ion cyclotron range of frequency) heating. Magnetic field fluctuations identified as an Alfvén ion cyclotron (AIC) mode are excited with strong dependence on a perpendicular beta value and a temperature anisotropy T⊥/T(parallel) (a ratio between the temperatures perpendicular and parallel to the magnetic field line). Spatial structures and excitation conditions of the AIC mode are experimentally studied. AIC modes are spontaneously excited as axial eigenmodes, of which boundary is determined by the reflection point in anisotropic plasmas. The AIC mode in the GAMMA 10 is observed well below the theoretically predicted threshold. © 1996 American Institute of Physics.
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  • 103
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4095-4101 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The three-dimensional nonlinear evolution of moderate wavelength pressure-driven edge-localized instabilities is calculated in divertor tokamaks. The evolution consists of several stages: linear growth, nonlinear saturation and turbulence, shear flow generation, pressure outflow to the outboard divertor, and finally, outflow to the inboard divertor. The shear flow generation appears to be an important factor in transporting pressure perturbations to the inboard side, and in causing pressure loss to the inboard divertor. The physical model consists of dissipative compressional reduced magnetohydrodynamics which includes the important effect of sound wave propagation. A novel numerical discretization, using a poloidal unstructured mesh and a staggered toroidal mesh, has been implemented on a parallel, distributed memory computer. Nonlinear, three-dimensional numerical computations include a separatrix X-point in the computational domain. © 1996 American Institute of Physics.
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  • 104
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4074-4083 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The kinetic stability properties in a number of high performance discharges from the DIII-D tokamak [R. D. Stambaugh for the DIII-D Team, Plasma Physics and Controlled Nuclear Fusion Research, 1994 (International Atomic Energy Agency, Vienna, 1995), Vol. 1, p. 83] have been analyzed utilizing a comprehensive kinetic eigenvalue code. The instability considered is the toroidal drift mode [trapped-electron-ion temperature gradient (ηi) mode]. This code has been interfaced with equilibria specific to DIII-D plasmas. Experimentally measured kinetic profile data, along with motional stark effect data and external magnetic data, was used, and the corresponding magnetohydrodynamic (MHD) equilibria were computed numerically. In particular, a low confinement mode (L-mode) case, a high-li high confinement mode (H-mode) case, a very high confinement mode (VH-mode) case, and a high plasma pressure/poloidal magnetic pressure (βp) case have been analyzed. For the L-mode case, a wide region of instability was found, while for the H-mode and VH-mode and high-βp cases, only relatively narrow regions of instability were found. An assessment of the influence of velocity-shear flow on these instabilities has also been made, as well as of changes in the electron and ion temperature gradients and density gradients. While the experimental values of the sheared toroidal flow velocity are not sufficient to stabilize the instability, an increase by a factor of two to four in the flow velocity could completely stabilize this mode. © 1996 American Institute of Physics.
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  • 105
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4156-4165 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The hydrogen plasma is studied at temperatures T∼104−106 K using the free energy minimization method. A simple analytic free energy model is proposed which is accurate at densities ρ(approximately-less-than)1 g cm−3 and yields the convergent internal partition function of atoms. The occupation probability formalism is modified for solving the ionization equilibrium problem. The ionization degree and equation of state are calculated and compared with the results of other models. © 1996 American Institute of Physics.
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  • 106
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4190-4196 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dispersion relations of transverse and longitudinal modes in an electromagnetically pumped free-electron laser with an axial guide field are derived exactly, for the one-dimensional case. The modes with positive and negative helicity are distinguished clearly. Analytic expressions for the growth rate, frequency, and wavelength of the modes, in resonance with the beam are obtained in terms of the system parameters. The dependence of the growth rate on these parameters is illustrated for a broad range of values. © 1996 American Institute of Physics.
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  • 107
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4220-4224 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The envelope equations describing the relativistic harmonic components are derived and used to analyze the third relativistic harmonic radiation in the short laser pulse regime. The results show that the pulse duration of the incident laser is an important parameter for the relativistic harmonic radiation and the harmonic radiation depends on the pumping laser pulse shape. The relativistic harmonic radiation is more efficient in the short laser pulse regime than in the long laser pulse regime. © 1996 American Institute of Physics.
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  • 108
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4229-4238 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The properties of a partially ionized plasma in a long cylindrical tube subject to a uniform axial electric field are investigated. The plasma is maintained by an external ionizing source balanced by bulk and surface recombinations. Collisions between neutrals, whose density greatly exceeds the density of charged particles, and of neutrals with ions, are sufficiently effective for their velocity distribution to be close to a Maxwellian with the same uniform temperature, independent of the external field. The behavior of the plasma is described by a collisional two-fluid scheme with charge neutrality in the interior of the tube. Approximate nonlinear equations for the hydrodynamical moments are obtained from a Boltzmann equation in which electron–neutral, electron–ion, and electron–electron collisions are all important. It is found that under certain circumstances the current and the temperature of the electrons undergo a drastic change, with hysteresis, as the electric field is varied. © 1996 American Institute of Physics.
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  • 109
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4278-4280 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Local eigenmodes of field-reversed configurations (FRCs) were previously computed using ideal magnetohydrodynamics, including compressibility and double adiabaticity. Here the eigenmodes are compared with earlier analytic models. In equilibria, as initially generated in θ pinches, the rigid displacements of the analytic models are similar to actual eigenmodes in structure and growth rate; moreover, the growth rates are similar to those of global modes. In equilibria that naturally arise later in the quiescent FRC, the analytic models fail to predict features of the eigenmode behavior: ballooning-like structure, and much faster growth rate than global modes. This suggests explanations for the difficulty of forming large FRCs in θ pinches, and for the appearance of characteristic profiles in quiescent FRCs. © 1996 American Institute of Physics.
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  • 110
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 4293-4293 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
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  • 111
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3527-3533 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Low frequency plane waves supported by a medium containing a thermal plasma of isotropic pressure and a suprathermal collisionless plasma having anisotropic pressure are investigated. The usual Alfvén, slow and fast modes of isotropic pressure magnetohydrodynamics persist. In addition, a suprathermal mode appears which displays a rich variety of behavior due to an additional degree of freedom compared to the analogous mode when both the plasma components are described by collision-dominated magnetohydrodynamics. Since these modes are significant in a number of situations, they are extensively investigated by computing their phase speeds for wide-ranging numerical parameters. © 1996 American Institute of Physics.
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  • 112
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3545-3555 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Linear magnetohydrodynamic (MHD) modes in a cold, nonrelativistic electron–positron plasma shear flow are considered. The general set of differential equations, describing the evolution of perturbations in the framework of the nonmodal approach is derived. It is found, that under certain circumstances, the compressional and shear Alfvén perturbations may exhibit large transient growth fueled by the mean kinetic energy of the shear flow. The velocity shear also induces mode coupling, allowing the exchange of energy as well as the possibility of a strong mutual transformation of these modes into each other. The compressional Alfvén mode may extract the energy of the mean flow and transfer it to the shear Alfvén mode via this coupling. The relevance of these new physical effects to provide a better understanding of the laboratory e+e− plasmas is emphasized. It is speculated that the shear-induced effects in the electron–positron plasmas could also help solve some astrophysical puzzles (e.g., the generation of pulsar radio emission). Since most astrophysical plasmas are relativistic, it is shown that the major results of the study remain valid for weakly sheared relativistic plasmas. © 1996 American Institute of Physics.
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  • 113
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3564-3572 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A comprehensive investigation of electromagnetic wave and instability phenomena in partially ionized, magnetized dusty plasmas has been carried out. By employing the multi-fluid balance equations along with the Maxwell equations, a compact set of coupled field equations for the cases in which the dust grains are either robust (vd=0) or dynamic is derived. These systems of partial differential equations are used to study wave phenomena and resistive tearing mode instabilities analytically as well as by means of numerical simulations. For robust dust grains, it is shown that coupled sound-Alfvén waves can appear even in the absence of ion-neutral collisions. The unstable tearing modes are coupled to convective drift modes, if the dust number density is inhomogeneous. In the induction equation two new source terms for self-generation of magnetic fields can be identified. In parameter regimes that are characterized by dynamic dust grains, the low-frequency phenomena develop on timescales that are governed by the dust particle inertia rather than the ion inertia, as it is the case in dust-free plasmas. The results of this investigation should be useful in understanding the properties of low-frequency electromagnetic wave phenomena and the formation of coherent structures in dusty magnetoplasmas whose main constituents are negatively charged dust grains, singly charged positive ions, and neutrals. © 1996 American Institute of Physics.
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  • 114
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3599-3603 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper, the effect of velocity shear on Rayleigh–Taylor vortices has been demonstrated. An inhomogeneous plasma is considered with a density profile such that the diamagnetic drift velocity Vn=(cTe/eB)dn0/dx is a constant and includes the effect of an ambient poloidal shear flow Veq(x)=V⊥0′(x−x0)y. The final equation describing the stationary Rayleigh–Taylor vortex is shown to have the structure of a nonlinear Poisson equation, where the nonlinearity arises essentially because of the velocity shear term. This equation has been solved numerically and it has been shown that qualitatively new two-dimensional monopole vortex solutions may be obtained in the appropriate parameter space. Therefore, a new important nonlinear effect related to equilibrium shear flow has been identified in the calculations of Rayleigh–Taylor vortices which results in monopole-like solutions in plasmas. © 1996 American Institute of Physics.
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  • 115
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3619-3627 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Advanced Tokamak Concepts [C. Kessel, J. Manickam, G. Rewoldt, and W. M. Tang, Phys. Rev. Lett. 72, 1212 (1994)] have been designed assuming that the "Resistive Wall Mode'' (RWM) is stable. It has recently been shown that the RWM can be stabilized by a combination of strong uniform plasma rotation and visco-resistive dissipation. In this paper we examine the consequences of a sheared flow on the RWM, and contrast the results to the case of uniform flow. It is shown that, as for uniform flow, the rotation initially further destabilizes the resistive wall mode, but for higher rotation velocities the growth rate is reduced, and the presence of plasma dissipation may completely stabilize the mode. However, sheared rotation allows the possibility of the RWM coupling to and converting into a Kelvin-Helmholtz mode. It is shown that the position of the wall with respect to the critical position for stabilization of the external kink mode is of crucial importance.
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  • 116
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3661-3667 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Model equations describing dynamics of a toroidal ηi mode in a rotating plasma are derived. The stationary solution of the model equations is investigated analytically and the condition for global vortex formation is found. The form of the solution is verified numerically and it is shown that the shape of global vortices is affected strongly by the shear of the plasma poloidal rotation. In weak shear, the stationary solution looks like a dipole vortex, while in strong shear, the main part of the plasma cross section is occupied by vortex flow. © 1996 American Institute of Physics.
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  • 117
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3668-3688 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Using ray tracing, a detailed investigation of the lower-hybrid (LH) wave propagation in presence of toroidal magnetic field ripple is presented. The local ray behavior is first depicted for a cylindrical equilibrium periodically modulated along the axial direction. Variations along ray trajectories in the component of the wave vector parallel to the equilibrium magnetic field are observed, with a maximum relative amplitude that is locally of the order of the ripple level. For the full rippled toroidal equilibrium, a similar local behavior is found when the ray trajectory crosses a high ripple region. Despite the modest amplitude of the local ray perturbation, its global influence on ray trajectories may be strong, as a consequence of the combined effects of toroidal and poloidal inhomogeneities. By coupling ray tracing with a one-dimensional relativistic Fokker–Planck code, simulations of LH experiments have been performed for the TORE SUPRA tokamak [Equipe TORE SUPRA, in Proceedings of the 15th Conference on Plasma Physics and Controlled Nuclear Fusion Research, Seville (International Atomic Energy Agency, Vienna, 1995), Vol. 1, p. 105, Paper IAEA-CN-60/A1-5]. It is shown that magnetic ripple may induce significant modifications in the LH power deposition profiles, mainly in the "few passes'' regime when the wave makes some, but not many, passes inside the plasma before being absorbed. The effect of magnetic ripple leads then to a broadening of the power deposition profile and a shift towards the center of the plasma, and a better coupling with high energy electrons. This behavior may be explained by an increase in the overall ray stochasticity. Taking into account magnetic ripple in LH simulations, a better agreement is found between numerical predictions and experimental observations. © 1996 American Institute of Physics.
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  • 118
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    Physics of Plasmas 3 (1996), S. 3858-3860 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The potential of a test dust particle in a magnetized dusty plasma is calculated, taking into account the dielectric constant associated with electrostatic ion-cyclotron waves. Besides the well-known Debye-Hückel screening potential, an oscillatory potential distribution around a test dust particle is found, which strongly depends on the strength of the external magnetic field. © 1996 American Institute of Physics.
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  • 119
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3861-3863 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Low-frequency magnetohydrodynamic equations including the effects of finite ion Larmor radius are derived. These equations contain all the physical terms necessary to describe kinetic Alfvén waves. Among other applications, these waves are used to interpret ultra-low-frequency wave phenomena in the Earth's magnetosphere. The finite ion Larmor radius effects are usually disregarded; however, under magnetospheric conditions, the ion temperature cannot be considered negligible since Ti≥Te. The finite ion gyroradius is accounted for by the ion stress tensor calculated in this Brief Communication. The nonlinear one-fluid system of equations is shown to adequately describe linear kinetic Alfvén waves in a low-β(β(very-much-less-than)1) homogeneous plasma. It is demonstrated that energy of the plasma system is conserved. © 1996 American Institute of Physics.
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  • 120
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    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 3866-3866 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Shoucri's [Phys. Plasmas 3, 3864 (1996)] comments concerning use of a biquadratic equation for the radial wave numbers [Eq. (3) in his comment], are regarded as inappropriate. Results are presented based on correct biquadratic radial-wave number equation derived by using the approach of Uddholm et al. [J. Phys. D: Appl. Phys. 24, 1278 (1991)] (AIP) © 1996 American Institute of Physics.
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  • 121
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    Physics of Plasmas 3 (1996), S. 111-121 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Both Zakharov equations and Vlasov equations are solved numerically to study the strong Langmuir turbulence developed in a plasma driven by an external pump field oscillating at the plasma frequency. A steady state turbulence in Vlasov simulations is reached by using open boundary conditions under which hot particles generated by strong caviton fields are replaced by initial cold Maxwellian particles when they cross the boundaries of simulation domain. A similar steady turbulent state in Zakharov simulations is easily achieved by implementing a phenomenological damping model and using periodic boundary conditions. Simulation results of these two different models are compared and investigated. © 1996 American Institute of Physics.
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  • 122
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    Physics of Plasmas 3 (1996), S. 168-176 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A self-consistent nonlinear theory of the current and energy modulations in an electron beam propagating through a grounded drift tube is developed. The theoretical analysis is based on the assumption that each beam segment has a prescribed current profile at the drift tube entrance. A closed integrodifferential equation for beam current is obtained in terms of time and propagation distance. Properties of the current and energy modulations are investigated from the integrodifferential equation for a broad range of system parameters. The current modulation amplitude decreases, reaches its minimum value, and increases as the beam propagates downstream. By linearizing the integrodifferential equation for beam current for small modulation, it is shown that the current modulation in the linear regime is a sum of the forward and backward density waves. On the other hand, the energy modulation in the linear regime is a difference between the forward and backward density waves. Several points are noteworthy from the current and energy modulations in the linear regime. First, the maximum current modulation occurs at the propagation distance, where the forward and backward density waves have the same intensity and sign. The corresponding energy modulation is zero. Second, the maximum energy modulation occurs at the propagation distance, where the forward and backward density waves almost cancel each other and where the corresponding current modulation is least. Third, wavelength of the amplitude oscillation in modulations increases with beam energy and decreases with beam intensity. © 1996 American Institute of Physics.
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  • 123
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    Physics of Plasmas 3 (1996), S. 202-217 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An Eulerian code that solves the gyrokinetic Vlasov equation in slab geometry is presented. It takes into account the E×B and polarization drifts in the plane perpendicular to the magnetic field, and kinetic effects in the parallel direction. The finite Larmor radius is modelled by a convolution operator. The relation is established between this model and others proposed previously, and they are shown to be equivalent in the limit of long wavelengths and small Larmor radii. The code is applied to investigate ion-temperature-gradient modes in the quasi-neutral regime, with adiabatic electrons. Numerical results are reported for a wide range of parameters, including density and temperature profiles, magnetic field strength, and ion to electron temperature ratio. Normally the plasma evolves towards long wavelength structures, although in some cases (when Landau damping is very weak) more strongly turbulent regimes are observed. Test particles are used to compute diffusion coefficients both in real space and velocity space. For the most strongly turbulent regimes, particle diffusion coefficients are of order 20 m2 s−1. The saturation mechanism is also investigated. Many previous numerical results obtained with particle codes are confirmed, but the Vlasov Eulerian technique allows a much finer resolution of structures both in real space and velocity space.
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  • 124
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    Physics of Plasmas 3 (1996), S. 3614-3618 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Theoretical profiles of power reflectivity of a phase conjugate electromagnetic wave generated by nearly degenerate four-wave mixing in a carbon plasma via parametric decay instability (PDI) are studied. The plasma is considered to be produced by irradiating a carbon slab target with an Nd:glass high-power laser pulse at an intensity above the PDI threshold. The plasma refractive index corresponding to the PDI region is taken into account in the wave equations. Two electromagnetic pump waves counterpropagating in the plasma are Nd:glass laser light waves and a weak electromagnetic probe wave incident upon the plasma, which is very slightly frequency upshifted relative to the pump waves. The effects of the frequency and angular detuning between the pump and probe waves, pump wave intensity, and plasma parameters on the reflectivity profiles have been investigated. It is noted that the plasma refractive index significantly affects the reflectivity profiles of the phase conjugate wave. © 1996 American Institute of Physics.
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  • 125
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    Physics of Plasmas 3 (1996), S. 3636-3643 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analytical treatment of plasma heating by a fast compression of a solenoidal field is given. An annular cylindrical plasma with a radius of 1 m is considered for the initial state, since this optimizes the nonadiabatic heating. The theory predicts that a 0.13 μs compression with 3 MV circuit voltage can give as much as 200 keV mean ion kinetic energy. The plasma beta increases by a factor of 100 in the compression. With the voltage decreased to 1 MV and a 0.36 μs compression time, the calculated mean ion kinetic energy is 60 keV. The calculated number of ions per unit length that gives tolerable magnetic shielding is 4×1017 m−1. Some practical concerns such as endplate construction, control of plasma beta, electric insulation, and transportation of the compressed plasma along a tube are briefly analyzed. © 1996 American Institute of Physics.
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  • 126
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    Physics of Plasmas 3 (1996), S. 3653-3660 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An analysis of the effect on the wall stabilization of external kink modes due to toroidally continuous gaps in the resistive wall is performed. The effects both with and without toroidal rotation are studied. For a high-β equilibrium, the mode structure is localized on the outboard side. Therefore, outboard gaps greatly increase the growth rate when there is no rotation. For resistive wall stabilization by toroidal rotation, the presence of gaps has the same effect as moving the wall farther away, i.e., destabilizing for the ideal plasma mode, and stabilizing for the resistive wall mode. The region of stability, in terms of wall position, is reduced in size and moved closer to the plasma. However, complete stabilization becomes possible at considerably reduced rotation frequencies. For a high-β, reverse-shear equilibrium both the resistive wall mode and the ideal plasma mode can be stabilized by close fitting discrete passive plates on the outboard side. The necessary toroidal rotation frequency to stabilize the resistive wall mode using these plates is reduced by a factor of three compared to that for a poloidally continuous and complete wall at the same plasma-wall separation. © 1996 American Institute of Physics.
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  • 127
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    Physics of Plasmas 3 (1996), S. 3696-3700 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The ion heat pulse after a sawtooth crash is studied by a time-of-flight (TOF) neutral measurement. A rapid change of the bulk ion energy distribution near the edge is observed after a sawtooth crash. The delay time is measured, and the effective measuring position is estimated by a neutral transport code. Then a transient ion thermal conductivity, χiHP, of about (7–18) m2/s is evaluated for the low confinement mode (L-mode) plasma. The simple diffusive model with constant χiHP, however, does not explain the amplitude of the pulse in the ion energy distribution. © 1996 American Institute of Physics.
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  • 128
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    Physics of Plasmas 3 (1996), S. 3713-3719 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The ideal magnetohydrodynamic stability with respect to localized ballooning modes and the Mercier criterion of a quasihelically symmetric stellarator configuration is investigated. Configurations with an enhanced magnetic mirror and a deeper magnetic well that can be achieved by energizing a set of auxiliary coils have also been analyzed. In all cases, the Mercier criterion imposes a slightly stricter β limit than the ballooning modes. Using relatively broad pressure profiles, the Mercier criterion yields β=0.4% for the standard configuration, β=0.3% for the high mirror configuration and β=1.3% for the deep well configuration. The comparable ballooning limits are β=0.7%, β=0.6%, and β=1.66% for the standard, high mirror, and deep well configurations, respectively. With a more peaked pressure profile, ballooning instabilities near the center of the plasma and Mercier modes near the edge of the plasma limit the performance of the standard configuration at β(approximately-equal-to)0.8%. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3745-3753 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The radial structure of tokamak profiles determined by anomalous transport is elucidated by studying the statistical mechanics of a sand pile automaton for which the toppling conditions depend on local gradient, alone. In this representation, the sand pile dynamics is Markovian, and spatial profiles may be obtained from calculated expectation values of the local gradient. The Markovian structure of the dynamics is exploited to analytically derive a local gradient probability distribution function from a generalized kinetic equation. For homogeneous, weak noise, the calculated expectation value of the gradient is well below the marginally stable state. In the over-driven limit (i.e., strong homogeneous noise), a region of super-critical gradient is shown to form near the bottom of the pile. For the case of localized noise, the mean self-organized profile is always sub-critical. These results are consistent with numerical studies of simple automata. Their relevance to and implications for tokamak confinement are discussed. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3798-3808 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dielectric tensor of an axisymmetric magnetosphere is derived by solving the Vlasov equations for trapped particles for a two-dimensional plasma model with circular magnetic field lines. Because of the nonuniformity of the geomagnetic field any Fourier harmonic of the perturbed current density (after its Fourier expansion over the geomagnetic latitude) is proportional to the sum over all harmonics of the oscillating electric field; that leads to additional wave dissipation effects. The resonant conditions for wave–particle interactions are discussed taking into account the cyclotron and bounce resonances; these conditions in magnetospheric plasmas are entirely different from the Landau damping resonant factor in the uniform magnetic field. The numerical calculations of the longitudinal permeability in the Earth's radiation belts (the equatorial distance of the magnetic field line is five Earth's radii) are carried out for short-period oscillations with the frequency ω∼2 s−1 and longitudinal wave numbers n=1,...,15. The different energy levels of the trapped electrons, T∼40–4000 eV, are considered. It is shown that, in the low-frequency region, the imaginary part of the longitudinal permeability decreases as ∼T−2.5 whereas the electron temperature increases. This decrease is stronger than ∼T−1.5 for plasmas in a straight magnetic field. For a given wave frequency, the basic contribution of trapped electrons to the imaginary part of longitudinal permeability is associated with the low numbers of bounce resonances and the low longitudinal wave numbers. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3828-3841 
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    Topics: Physics
    Notes: In a drifting electron laser (DEL), powered by a relativistic beam of E×B drifting electrons in crossed, spatially modulated electric and magnetic fields, the emitted radiation energy and momentum come, respectively, from the change in the electrostatic energy eE0δX and vector potential eB0δX of the electron, δX being the recoil of the guiding center location perpendicular to the drift direction. Since the average drift velocity and the resonance condition are energy-independent one avoids the low efficiency limit η≤1/2Nw placed on free electron lasers (FELs) from energy detuning; in particular there is no inverse relation between per-pass gain and efficiency. In the large radiation amplitude and spot size limit it is shown that the trapped particles do not "turn around the bucket'' but keep converting potential energy to radiation until they exit the interaction space, yielding typical DEL efficiency 30%–40% independent of the wiggler length. In addition DELs exhibit much higher tolerance to thermal beam spreads than FELs. In the case of small radiation spot size, gain saturation via the off-axis walk of the emitting electrons is avoided and overlap between the beam and the radiation is maintained by a small tilt of the resonator axis relative to the E×B drift direction. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3864-3865 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The dispersion equation for the eigenmodes of a waveguide partially filled with a relativistic electron beam in a magnetic field has been recently reported. It is the purpose of the present Comment to point out that this dispersion equation is incorrect. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 104-110 
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    Topics: Physics
    Notes: Recently a paradox has been posed that appears to challenge the second law of thermodynamics in a plasma blackbody environment [D. P. Sheehan, Phys. Plasmas 2, 1893 (1995)]. In this paper another, related paradox is posed in an unmagnetized Q plasma. Laboratory experiments simulating some necessary conditions for the paradoxical system corroborate theoretical predictions and fail to resolve the paradox in favor of the second law. © 1996 American Institute of Physics.
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  • 134
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    Physics of Plasmas 3 (1996), S. 122-132 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: Study of Langmuir collapse thresholds shows that they have little polarization dependence and that moving packets have the lowest thresholds in the undamped case. However, incorporation of damping into the density response inhibits collapse of packets moving at more than a small fraction of the sound speed. Investigation of energy transfer to packets localized in density wells—the nucleation process—shows that at most a few trapped states can exist and that energy transfer is most effective when there is a single barely-trapped state. Coupled with an argument that closely packed wave packets have lower collapse thresholds, this argument yields an estimate of the number density of localized nucleating states in a turbulent plasma. It also leads to a simple and direct semiquantitative estimate of the collapse threshold. All these results are in accord with previous numerical simulations incorporating ion-sound damping, which show a preponderance of slow-moving or stationary packets with little or no intrinsic polarization dependence of thresholds. Likewise, the number densities obtained are in good agreement with simulation values, and the simple estimate of the threshold is semiquantitatively correct. The extent of the agreement supports the nucleation scenario with close-packed nucleation sites in the turbulent state. © 1996 American Institute of Physics.
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  • 135
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    Physics of Plasmas 3 (1996), S. 149-159 
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    Topics: Physics
    Notes: The coalescence of Langmuir waves to produce electromagnetic waves at twice the plasma frequency is considered. A simplified expression for the rate of production of second harmonic electromagnetic waves is obtained for a broad class of Langmuir spectra. In addition, two different analytic approximations are considered. The validity of the commonly used head-on approximation is explored, in which the two coalescing Langmuir waves are assumed to approach from opposite directions. This approximation breaks down at low Langmuir wavenumbers, and for narrow Langmuir wave spectra. A second, more general, approximation is introduced, called the narrow-spectrum approximation, which requires narrow spectral widths of the Langmuir spectra. The advantages of this approximation are that it does not break down at low Langmuir wavenumbers, and that it remains valid for relatively broad Langmuir wave spectra. Finally, the applicability of these approximations in treating harmonic radiation in type III solar radio bursts is discussed. © 1996 American Institute of Physics.
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  • 136
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    Physics of Plasmas 3 (1996), S. 177-191 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The cold fluid theory of the Pierce beam–plasma system is modified by the incorporation of warm plasma effects. The controlling parameter α in the cold theory, where α=Lωp/V0, L=diode width, ωp=plasma frequency, and V0=beam velocity at injection, is replaced in the warm theory by an effective value of α involving the thermal velocity. The theory is verified by means of a fluid simulation code; the phase states for a cold plasma, including the chaotic state, are recovered for a warm plasma, but with a shift in values of the bifurcation parameter. Furthermore, in order to include plasma kinetic effects, an extensive electrostatic particle simulation code is developed to model the Pierce system. Among the new physical effects arising in this particle model are the local and global thermalization of electrons by electrostatic waves, and blocking oscillations due to particle reflection and trapping. As the parameter α is decreased, the electric field at the injection point typically changes state as follows: blocking oscillation→small fluctuations→quasisteady oscillation→prechaotic oscillation→chaos→blocking oscillation→dc electric field. The mechanics of chaotic oscillations in the Pierce system are examined with particular regard to kinetic effects. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 248-265 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: A kinetic theory for magnetic islands in a low collision frequency tokamak plasma is presented. Self-consistent equations for the islands' width, w, and propagation frequency, ω, are derived. These include contributions from the perturbed bootstrap current and the toroidally enhanced ion polarization drift. The bootstrap current is independent of the island propagation frequency and provides a drive for the island in tokamak plasmas when the pressure decreases with an increasing safety factor. The polarization drift is frequency dependent, and therefore its effect on the island stability cannot be deduced unless ω is known. This frequency is determined by the dominant dissipation mechanism, which for low effective collision frequency, νeff=ν/ε〈ω, is governed by the electrons close to the trapped/passing boundary. The islands are found to propagate in the electron diamagnetic direction in which case the polarization drift is stabilizing and results in a threshold width for island growth, which is of the order of the ion banana width. At larger island widths the polarization current term becomes small and the island evolution is determined by the bootstrap current drive and Δ′ alone, where Δ′ is a measure of the magnetic free energy.
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  • 138
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    Physics of Plasmas 3 (1996), S. 281-292 
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    Topics: Physics
    Notes: Nonlinear dynamic behaviors are investigated for a system composed of high heat flux plasma and electron-emissive hot material surface. Phase transitions due to bifurcation have been observed in the experiments and analyzed numerically by using a series of simple equations describing energy balance as well as sheath formation, including a new Child–Langmuir expression for an electron emission from the material surface into the plasma. It is found that the thermal insulation between these two constituent parts depends not only on plasma parameters but also strongly on electron-emission characteristics of the material surface in a nonlinear way. The electron emission leads to a strong reduction of sheath voltage and a large enhancement of heat flux density on the material surface. The plasma is cooled when it is in contact with a strongly electron-emissive material surface. © 1996 American Institute of Physics.
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  • 139
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    Physics of Plasmas 3 (1996), S. 304-322 
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    Topics: Physics
    Notes: Entropy production and Onsager symmetry in neoclassical transport processes of magnetically confined plasmas are studied in detail for general toroidal systems, including nonaxisymmetric configurations. It is found that the flux surface average of the entropy production defined from the linearized collision operator and the gyroangle-averaged distribution function coincides with the sum of the inner products of the thermodynamic forces and the conjugate fluxes consisting of the Pfirsch–Schlüter, banana-plateau, nonaxisymmetric parts of the neoclassical radial fluxes and the parallel current. It is proved from the self-adjointness of the linearized collision operator that the Onsager symmetry is robustly valid for the neoclassical transport equations in the cases of general toroidal plasmas consisting of electrons and multi-species ions with arbitrary collision frequencies. It is shown that the Onsager symmetry holds whether or not the ambipolarity condition is used to reduce the number of the conjugate pairs of the transport fluxes and the thermodynamic forces. The full transport coefficients for the banana-plateau and nonaxisymmetric parts are separately derived, and their symmetry properties are investigated. The nonaxisymmetric transport equations are obtained for arbitrary collision frequencies in the Pfirsch–Schlüter and plateau regimes, and it is directly confirmed that the total banana-plateau and nonaxisymmetric transport equations satisfy the Onsager symmetry. © 1996 American Institute of Physics.
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  • 140
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    Physics of Plasmas 3 (1996), S. 344-348 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: If a large number of laser- or charged particle beam-channeled gas embedded Z-pinch discharges, with alternating directions of the currents for adjacent pinch discharges, are made to intersect in one point, one obtains a quasispherical plasma configuration likely to be stable against the m=1 kink instability. Because gas-embedded Z-pinch discharges are diffuse, they should also be stable against the m=0 sausage instability and all other higher than m=1 instabilities. In the proposed plasma configuration the pressure falls off radially with an 1/r2 dependence. If, for example, the plasma pressure at the periphery of a 25 cm plasma sphere is 100 atm≈108 dyn/cm2, corresponding to a magnetic field of ∼5×104 G, the plasma pressure at a radius of ∼0.3 cm from the center of the sphere would have risen to 700 000 atm, with the magnetic field at this distance equal to ∼4×106 G. At a thermonuclear temperature of ∼109 K, the plasma particle number density at this distance would be ∼3×1018 cm−3, with a correspondingly high thermonuclear reaction rate. The feasibility of such a plasma configuration for the controlled release of thermonuclear energy then only depends on the radial heat conduction losses in the presence of a strong perpendicular magnetic field. It appears that these losses can be made smaller than the heat released by the thermonuclear reaction. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 89-93 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is experimentally clarified that injection of a stationary ion beam always changes the background plasma potential in a beam–plasma system. In this experiment, a technique of ion energy analysis is adopted to determine the plasma potential in the system. Results show that the plasma potential changes sensitively depending on the beam-to-plasma density ratio, even if other parameters are not allowed to vary. Finally, all the results obtained here are tentatively explained with the help of a Boltzmann relation. © 1996 American Institute of Physics.
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  • 142
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    Physics of Plasmas 3 (1996), S. 2113-2121 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The efficiency of delivering an ion beam to an inertial confinement fusion target depends on the ability to control the breakdown of both unintended (in the "vacuum'' diode region) and intended (in the transport region) gas. The desorption and breakdown of anode-surface contaminants in an ion diode complicates the generation of a pure, high-brightness ion beam. Beyond the accelerator, the gas in the reactor vessel must provide excellent charge neutralization and specified current neutralization to permit the beam transport and focusing to a 〈1 cm radius, spherical target. Two schemes, in which controlling gas breakdown is essential, are "ballistic'' and "self-pinched'' ion transport. Results are discussed from hybrid particle-fluid simulations of anode contaminant desorption and ion beam transport. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 2122-2128 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The linear stability analysis of accelerated ablation fronts is carried out self-consistently by retaining the effect of finite thermal conductivity. Its temperature dependence along with the density gradient scale length are adjusted to fit the density profiles obtained in the one-dimensional simulations. The effects of diffusive radiation transport are included through the nonlinear thermal conductivity (κ∼Tν). The growth rate is derived by using a boundary layer analysis for Fr(very-much-greater-than)1 (Fr is the Froude number) and a WKB approximation for Fr(very-much-less-than)1. The self-consistent Atwood number depends on the mode wavelength and the power law index for thermal conduction. The analytic growth rate and cutoff wave number are in good agreement with the numerical solutions for arbitrary ν(approximately-greater-than)1. © 1996 American Institute of Physics.
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  • 144
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    Physics of Plasmas 3 (1996), S. 1022-1028 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Using the swept double probe and triple probe technique, temperature, density and potential fluctuations have been measured in both the plasma edge and core of the Keda Tokamak-5C (KT-5C) [World Survey of Activities in Controlled Fusion Research, Nuclear Fusion Special Supplement (International Atomic Energy Agency, Vienna, 1991), p. 190]. The fluctuation-driven particle and energy fluxes were also estimated from the correlations of 〈ñeE˜θ〉 and 〈T˜eE˜θ〉. Evidence has been found that there exist substantial electron temperature fluctuations of T˜e/Te(approximately-equal-to)0.4ñe/ne in both regions. At the edge of KT-5C, many of the fluctuation features, such as the velocity shear stabilization of turbulence, the non-Boltzmann relation and the role of fluctuations in the edge confinement, are very similar to those obtained from other tokamaks. In the plasma interior, the fluctuations do obey the simple Boltzmann relationship and the profiles of the normalized fluctuating levels ñe/ne and φ˜p/Te vary roughly as ñe/ne∝ne−3/2 and φ˜p/Te∝ne−1/2Te−1, respectively. In addition, a spiky, radially intermittent structure in the particle and energy fluxes with large levels at the low-q resonances and lower levels in between was found. The experimental results provide some new evidence, particularly in the plasma core, for a better understanding of the basic mechanism of turbulence. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 1073-1090 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: The linear kinetic theory is developed for the convective amplification of stimulated Brillouin scattering in a plasma containing two distinct ion species. A computationally tractable expression for the gain coefficient Q is obtained by, first, restricting consideration to growth from the two possible weakly damped ion modes in the two-ion-species plasma and, second, invoking the two-mode approximation for ε−1, the ion response function, in the plasma. Furthermore, a practical procedure is presented for efficiently obtaining Q over the mesh of a large-scale hydrodynamic simulation of a laser-irradiated target. The theory and its application are demonstrated in the simulation of a simple gas target. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 1109-1112 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: A new nonlinear Raman instability in underdense plasma is investigated theoretically. Unlike the usual linear Raman instabilities which grow exponentially in time, this instability takes a finite amount of time to diverge. The explosion time t∞ depends on the initial level of the perturbation. A general set of equations for spatio-temporal evolution of the forward nonlinear Raman scattering is derived and its temporal evolution is studied in detail. This new instability results in the generation of forward Raman radiation shifted by half the plasma frequency for laser intensities of order or exceeding 1018 W/cm2, something that has been recently observed [A. Modena (private communication, 1995)]. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 1176-1178 
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    Topics: Physics
    Notes: A general analytical solution of the Grad–Shafranov equation is presented. Specific functional forms of pressure and plasma current are used; the solution allows arbitrary plasma size, aspect ratio, elongation, triangularity, current, and poloidal beta, without imposing undue constraints amongst those variables. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 1162-1175 
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    Topics: Physics
    Notes: The dynamics of a relativistic electron in the field configuration consisting of a constant-amplitude helical-wiggler magnetic field, a uniform axial magnetic field, and the equilibrium self-fields is described by a near-integrable three-degree-of-freedom Hamiltonian system. The system is solved asymptotically for small ε by the method of averaging, where ε measures the strength of the self-fields. Because the Hamiltonian does not depend on one of the coordinates, it immediately reduces to a two-degree-of-freedom system. For ε=0, this reduced system is integrable, but is not in standard form. The action-angle transformation to standard form is derived explicitly in terms of elliptic functions, thus enabling the application of the averaging procedure. For almost all regular electron trajectories the solution is explicitly derived in asymptotic form and an adiabatic invariant is constructed, both results are in a form that remains uniformly valid over the time interval for electrons to transit the laser. The analytical results are verified by numerical calculations for an example problem. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 1137-1161 
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    Topics: Physics
    Notes: A guiding center fluid theory is applied to model steady-state, single mode, high-power magnetron operation. A hub of uniform, prescribed density, feeds the current spokes. The spoke charge follows from the continuity equation and the incompressibility of the guiding center flow. Included are the spoke self-fields (DC and AC), obtained by an expansion around the unperturbed (zero-spoke charge) flow in powers of ν/V1, ν, and V1 being the effective charge density and AC amplitude. The spoke current is obtained as a nonlinear function of the detuning from the synchronous (Buneman–Hartree, BH) voltage Vs; the spoke charge is included in the self-consistent definition of Vs. It is shown that there is a DC voltage region of width ||V−Vs||∼V1, where the spoke width is constant and the spoke current is simply proportional to the AC voltage. The magnetron characteristic curves are "flat'' in that range, and are approximated by a linear expansion around Vs. The derived formulas differ from earlier results [J. F. Hull, in Cross Field Microwave Devices, edited by E. Okress (Academic, New York, 1961), pp. 496–527] in (a) there is no current cutoff at synchronism; the tube operates well below as well above the BH voltage; (b) the characteristics are single valued within the synchronous voltage range; (c) the hub top is not treated as virtual cathode; and (d) the hub density is not equal to the Brillouin density; comparisons with tube measurements show the best agreement for hub density near half the Brillouin density. It is also shown that at low space charge and low power the gain curve is symmetric relative to the voltage (frequency) detuning. While symmetry is broken at high-power/high space charge magnetron operation, the BH voltage remains between the current cutoff voltages. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 709-711 
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    Topics: Physics
    Notes: Most Madison Symmetric Torus (MST) [Fusion Technol. 19, 131 (1991)] reversed-field pinch discharges exhibit sawtooth oscillations with a period of 2–5 ms, corresponding to magnetohydrodynamic (MHD) instability and increased transport. However, in discharges where the plasma-facing wall has been boronized, the plasma resistivity is reduced, and sawteeth are often suppressed for periods up to 20 ms. The energy confinement time during these sawtooth-free periods is triple the normal value, corresponding to a higher plasma temperature and lower Ohmic input power. In addition, the steady growth of the dominant magnetic fluctuations normally observed between sawtooth crashes is absent. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 749-758 
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    Topics: Physics
    Notes: The confinement properties and collective modes of single-component plasmas are investigated in a quadrupole Penning trap. Brillouin-density pure ion plasmas are generated by electron-beam ionization of a low-pressure gas. Large, spheroidal, steady-state plasmas are produced, extending out to contact one or more of the trap electrodes. With the density fixed at the Brillouin limit by the high ion production rate, the electrode potentials determine the plasma shape. The frequencies of azimuthally propagating cyclotron and diocotron modes are found to vary significantly with the plasma aspect ratio. For oblate plasmas, the frequencies are in good agreement with a simple fluid model. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 815-823 
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    Topics: Physics
    Notes: The statistical behavior of magnetic lines in a sheared magnetic configuration with reference surface x=0 is investigated within the framework of the kinetic theory. A Liouville equation is associated with the equations of motion of the stochastic magnetic lines. After averaging over an ensemble of realizations, it yields a convection-diffusion equation within the quasilinear approximation. The diffusion coefficients are space dependent and peaked around the reference surface x=0. Due to the shear, the diffusion of lines away from the reference surface is slowed down. The behavior of the lines is asymptotically strongly non-Gaussian. The reference surface acts like an attractor around which the magnetic lines spread with an effective subdiffusive behavior. Comparison is also made with more usual treatments based on the study of the first two moments equations. For sheared systems, it is explicitly shown that the Corrsin approximation assumed in the latter approach is no longer valid. It is also concluded that the diffusion coefficients cannot be derived from the mean square displacement of the magnetic lines in an inhomogeneous medium. © 1996 American Institute of Physics.
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    Chaos 6 (1996), S. 229-237 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Karhunen–Loeve decomposition is done on a chaotic spatio-temporal solution obtained from a nonlinear reaction-diffusion model of a chemical system simulating a chemical process in an open Couette-flow reactor. Using a Galerkin projection of the dominant Karhunen–Loeve modes back onto the nonlinear partial differential system, we obtain an ordinary differential equation model of the same process. Major features such as intermittent and chaotic bursting of the nonlinear process as well as the mechanism of transition to chaos are shown to exist in the low-dimensional model as well as the PDE model. From the low-dimensional model the onset of intermittent bursts followed by small amplitude oscillations is shown to arise due to a sequence of saddle-node bifurcations.
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  • 154
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    Chaos 6 (1996), S. 243-253 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this work correlation integrals are used for the analysis of various EEG signals from rabbits in resting states and under the influence of an anesthetic. The comparison with surrogate data reveals nonlinear dynamics in all of the time series. Our attempt to determine the correlation dimension D2 by the modified algorithm of Theiler [Phys. Rev. A 34, 2427 (1986)] failed since no saturation is reached with increasing embedding dimension. The hypothesis of low-dimensional chaos turns out to be inconsistent with our results, but we can still distinguish, at least qualitatively, between different states of brain dynamics. A quantitative characterization of the time series is possible by defining correlation parameters Pa derived from correlation integrals reflecting also autocorrelation of the signal. © 1996 American Institute of Physics.
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  • 155
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    Chaos 6 (1996), S. 1-5 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The behavior of the phase trajectories of the Hamilton equations is commonly classified as regular and chaotic. Regularity is usually related to the condition for complete integrability, i.e., a Hamiltonian system with n degrees of freedom has n independent integrals in involution. If at the same time the simultaneous integral manifolds are compact, the solutions of the Hamilton equations are quasiperiodic. In particular, the entropy of the Hamiltonian phase flow of a completely integrable system is zero. It is found that there is a broader class of Hamiltonian systems that do not show signs of chaotic behavior. These are systems that allow n commuting "Lagrangian'' vector fields, i.e., the symplectic 2-form on each pair of such fields is zero. They include, in particular, Hamiltonian systems with multivalued integrals. © 1996 American Institute of Physics.
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  • 156
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    Chaos 6 (1996), S. 519-527 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: Diffusion processes are usually associated with randomness in the system. In this paper we show that deterministic diffusion processes can also occur in systems with zero entropy that mimic chaos with any precision without being mathematically chaotic. A random walk model is used to predict the behavior of the diffusion coefficient. © 1996 American Institute of Physics.
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  • 157
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    Chaos 6 (1996), S. 554-563 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: We investigate the motion of infinitesimal particles in the flow field inside the fluid under a traveling surface wave. It is shown that, even for two-dimensional waves, a superposition of two or more traveling harmonic waves is enough to generate chaotic particle motion, i.e., Lagrangian chaos. © 1996 American Institute of Physics.
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  • 158
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    Chaos 6 (1996), S. 108-120 
    ISSN: 1089-7682
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    Topics: Physics
    Notes: In this paper we are concerned with the dynamics of noninvertible transformations of the plane. Three examples are explored and possibly a new bifurcation, or "eruption,'' is described. A fundamental role is played by the interactions of fixed points and singular curves. Other critical elements in the phase space include periodic points and an invariant line. The dynamics along the invariant line, in two of the examples, reduces to the one-dimensional Newton's method which is conjugate to a degree two rational map. We also determine, computationally, the characteristic exponents for all of the systems. An unexpected coincidence is that the parameter range where the invariant line becomes neutrally stable, as measured by a zero Lyapunov exponent, coincides with the merging of a periodic point with a point on a singular curve. © 1996 American Institute of Physics.
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  • 159
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    Chaos 6 (1996), S. 184-192 
    ISSN: 1089-7682
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The phenomena of dynamical localization, both classical and quantum, are studied in the Fermi accelerator model. The model consists of two vertical oscillating walls and a ball bouncing between them. The classical localization boundary is calculated in the case of "sinusoidal velocity transfer'' [A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer-Verlag, Berlin, 1983)] on the basis of the analysis of resonances. In the case of the "sawtooth'' wall velocity we show that the quantum localization is determined by the analytical properties of the canonical transformations to the action and angle coordinates of the unperturbed Hamiltonian, while the existence of the classical localization is determined by the number of continuous derivatives of the distance between the walls with respect to time. © 1996 American Institute of Physics.
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  • 160
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    Chaos 6 (1996), S. 209-218 
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    Topics: Physics
    Notes: The large-amplitude motions of a ship running in waves are analyzed with a mathematical model reduced to a system of eight coupled nonlinear ordinary differential equations. Bifurcation analysis in relation to the surf-riding condition, with control parameter the angle of the rudder, shows the existence of a region of oscillatory behavior, containing also a chaotic domain. This region ends with a homoclinic connection and a dangerous jump toward the overtaking-wave mode, which can incur ship capsize. Addition of linear control removes the chaotic domain while giving rise to new regions of oscillation. © 1996 American Institute of Physics.
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  • 161
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    Chaos 6 (1996), S. 238-242 
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    Topics: Physics
    Notes: We present a simple mathematical model in which a time averaged pattern emerges out of spatio-temporal chaos as a result of the collective action of chaotic fluctuations. Our evolution equation possesses spatial translational symmetry under periodic boundary conditions. Thus the spatial inhomogeneity of the statistical state arises through spontaneous symmetry breaking. The transition from a state of homogeneous spatio-temporal chaos to one exhibiting spatial order is explained by introducing a collective viscosity which relates the averaged pattern with a correlation of the fluctuations. © 1996 American Institute of Physics.
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  • 162
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    Chaos 6 (1996), S. 67-77 
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    Topics: Physics
    Notes: The steady incompressible flow in a unit sphere introduced by Bajer and Moffatt [J. Fluid Mech. 212, 337 (1990)] is discussed. The velocity field of this flow differs by a small perturbation from an integrable field whose streamlines are almost all closed. The unperturbed flow has two stationary saddle points (poles of the sphere) and a two-dimensional separatrix passing through them. The entire interior of the unit sphere becomes the domain of streamline chaos for an arbitrarily small perturbation. This phenomenon is explained by the nonconservation of a certain adiabatic invariant that undergoes a jump when a streamline crosses a small neighborhood of the separatrix of the unperturbed flow. An asymptotic formula is obtained for the jump in the adiabatic invariant. The accumulation of such jumps in the course of repeated crossings of the separatrix results in the complete breaking of adiabatic invariance and streamline chaos. © 1996 American Institute of Physics.
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  • 163
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    Chaos 6 (1996), S. 78-86 
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    Topics: Physics
    Notes: Spatial coexistence and competition among species is investigated through a modified Volterra–Lotka model which takes into account sexual breeding. This allows the population specific growth rate to depend on the population density. As a result of this modification the degeneracy inherent in the classical model is eliminated and qualitatively novel regimes are observed, as demonstrated by parametric analysis of the model. In the case where the corresponding parameters of competing species do not differ significantly the model can be reduced to a single Ginzburg–Landau type equation. The spatially distributed model is analyzed both in the absence and in the presence of noise mimicking inherent fluctuations in birth and death rates. It is shown that noise can qualitatively change the behavior of the system. Not only does it induce the formation of spatial patterns, but also switches on endless turbulent-like rearrangement of the system. When initially unpopulated habitat is occupied by competing species even a very low-intensity noise makes the final state of the system totally unpredictable and sensitive to any fluctuations. © 1996 American Institute of Physics.
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  • 164
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    Notes: The fast ignitor scheme for inertial confinement fusion requires forward driving of the critical density surface by light pressure (hole boring) to allow energy deposition close to the dense fuel. The recession velocity of the critical density surface has been observed to be v/c=0.015 at an irradiance of 1.0×1019 W cm−2 at a wavelength of 1.05 micron, in quantitative agreement with modeling. © 1996 American Institute of Physics.
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  • 165
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    Physics of Plasmas 3 (1996), S. 3267-3278 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The ionization of gas by intense (MeV, kA/cm2) ion beams is investigated for the purpose of obtaining scaling relations for the rate of rise of the electron density, temperature, and conductivity of the resulting plasma. Various gases including He, N, and Ar at pressures of order 1 torr have been studied. The model is local and assumes a drifting Maxwellian electron distribution. In the limit that the beam to gas density ratio is small, the initial stage of ionization occurs on the beam impact ionization time and lasts on the order of a few nanoseconds. Thereafter, ionization of neutrals by the thermal electrons dominates electron production. The electron density does not grow exponentially, but proceeds linearly on a fast time scale tth=U/(vbρ dE/dx) associated with the time taken for the beam to lose energy U via collisional stopping in the gas, where U is the ionization potential of the gas, vb is the beam velocity, ρ is the gas mass density, and dE/dx is the mass stopping power in units of eV cm2/g. This results in a temperature with a slow time dependence and a conductivity with a linear rise time proportional to tth. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3297-3299 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The relativistic Hamiltonian for the guiding center motion of particles in electric and magnetic fields is given in its canonical form. This drift Hamiltonian is valid if the particle gyroradius is sufficiently small compared to the spatial scale, and the cyclotron frequency is sufficiently large compared to the temporal scale, of the magnetic and electric fields. A method for determining the required magnetic coordinates for an earth-like magnetic field is also given. © 1996 American Institute of Physics.
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  • 167
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    Physics of Plasmas 3 (1996), S. 3291-3296 
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    Topics: Physics
    Notes: Spherical and nonspherical plasma-screening effects are investigated on electron-impact excitation of hydrogenic ions in weakly coupled plasmas. Semiclassical straight-line trajectory method is used to describe the behavior of the projectile electron. Scaled 1s→2p−1 semiclassical excitation probabilities are obtained by the spherical and nonspherical Debye–Hückel interaction potentials. The plasma-screening effect of the bound atomic wave functions in the transition probability obtained by the spherical Debye–Hückel model is found to be more effective than that in the transition probability obtained by the nonspherical Debye–Hückel model. The maximum position of the transition probability obtained by the nonspherical Debye–Hückel potential is more receded from the nucleus than that of transition probability obtained by the spherical Debye–Hückel potential. © 1996 American Institute of Physics.
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  • 168
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    Physics of Plasmas 3 (1996), S. 3300-3303 
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    Topics: Physics
    Notes: An analytic expression for the surface impedance for electron heating in inductively coupled discharges is derived from the kinetic equation with the optimum ordering that ν∼ω. Here, ν is the electron collision frequency, and ω is the frequency of the driven current inside the antenna coil. The expression is valid for both collisional and collisionless discharges, and can be employed in the modeling of the source. © 1996 American Institute of Physics.
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  • 169
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    Physics of Plasmas 3 (1996), S. 3485-3491 
    ISSN: 1089-7674
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    Topics: Physics
    Notes: Acceleration and heating of a relativistic electron beam by cascading nonlinear Landau damping involving three or four intense electromagnetic waves in a plasma are studied theoretically based on kinetic wave equations and transport equations derived from relativistic Vlasov–Maxwell equations. Three or four electromagnetic waves excite successively two or three nonresonant beat-wave-driven relativistic electron plasma waves with a phase velocity near the speed of light [vp=c(1−γ−2p)1/2, γp=ω/ωpe]. Three beat waves interact nonlinearly with the electron beam and accelerate it to a highly relativistic energy γpmec2 more effectively than by the usual nonlinear Landau damping of two electromagnetic waves. It is proved that the electron beam can be accelerated to more highly relativistic energy in the plasma whose electron density decreases temporally with an appropriate rate because of the temporal increase of γp. © 1996 American Institute of Physics.
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  • 170
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    Notes: The parallel velocity distribution function of the weakly relativistic electron beam of a quasi-optical gyrotron has been determined by measuring the Doppler-shifted Electron Cyclotron Emission (ECE) at an angle θ=15° with respect to the external magnetic dc-field. Due to the Doppler shift, the frequency of the spontaneous cyclotron emission at the fundamental (ν0=100 GHz) is upshifted to 140 GHz. A broadening of the spectrum up to 10 GHz [full width at half maximium (FWHM)] was measured. The measured mean frequency agrees well with the theoretical predictions, but the observed line-width, and hence the parallel velocity distribution function, is 2–3 times larger than expected. Considerations on ECE-measurements of the electron beam energy spread, performed at larger angles θ, are also discussed. © 1996 American Institute of Physics.
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  • 171
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    Physics of Plasmas 3 (1996), S. 3516-3517 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Tripathi–Liu [Phys. Plasmas 1, 990 (1994)] model of magnetic-field generation due to an amplitude-modulated laser in a plasma is revisited. At plasma resonance, where modulation frequency equals the plasma frequency, significant enhancement in the magnetic field is seen. The magnetic field is found to scale directly with laser intensity and plasma frequency, while scaling inversely with laser spot size. © 1996 American Institute of Physics.
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  • 172
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    Physics of Plasmas 3 (1996), S. 2849-2858 
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    Topics: Physics
    Notes: Electric and magnetic self-fields can exist in the rotating plasma. A self-sustained rotation can be established in the plasma. The disturbed distribution function of rotating plasma is derived from the Vlasov equation. The propagation of waves in rotating plasma differs from that in the usual plasma. New terms for Landau damping appear. The local rotational behavior may become prevailing. © 1996 American Institute of Physics.
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  • 173
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    Physics of Plasmas 3 (1996), S. 3420-3424 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Preheating is one of the most critical issues in laser fusion, because of significant reduction of volume compression. The nonlocal heat transport in an ablative plasma is found to play an important role in the preheating under high intensity laser irradiation. Namely, the electron heat transport should be described by the Fokker–Planck (FP) equation in the fluid implosion code. The Spitzer–Härm (SH) thermal conduction model is not applicable because the electron mean free path is comparable to the temperature scale length. The numerical simulations of the implosion with the FP heat transport have been carried out for the fast (high entropy) implosion mode in which the implosion velocity reaches as high as 6×107 cm/s. In the fast implosion, the required laser energy for ignition can be reduced. It is found in the simulation that the isentrope in the FP simulation code is higher by two to four times than that in the flux limited SH simulation. © 1996 American Institute of Physics.
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  • 174
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    Physics of Plasmas 3 (1996), S. 3448-3468 
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    Topics: Physics
    Notes: A series of two-dimensional radiation magnetohydrodynamic calculations are presented of a Z-pinch implosion using a plasma flow switch. Results from a recent experiment using the high explosive driven generator Procyon, which delivered 16.5 MA to a plasma flow switch and switched about 15 MA into a static load, are used to study the implosion of a 29 mg load foil [J. H. Goforth et al., "Review of the Procyon Explosive Pulsed Power System,'' in Ninth IEEE Pulsed Power Conference, June 1993, Albuquerque, edited by K. R. Prestwich and W. L. Baker (Institute of Electrical and Electronics Engineers, Piscataway, NJ, 1993), p. 36]. The interaction of the switch with the load plasma and the effects of background plasma on the total radiation output is examined. Models which assume ideal switching are also included. Also included are the effects of perturbations in the load plasma which may be associated with initial vaporization of the load foil. If the background plasma density in the switch region and in the load region does not affect the dynamics, the pinch is predicted to produce a total radiation output of about 4 MJ. Including perturbations of the load plasma associated with switching and assuming a background plasma density after switching in excess of 10−7 g/cm3 results in a total output from the pinch of about 0.6 MJ. © 1996 American Institute of Physics.
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  • 175
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    Physics of Plasmas 3 (1996), S. 3492-3500 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The operation of a 92 GHz quasi-optical gyrotron having a resonator formed by a spherical mirror and a diffraction grating placed in −1 order Littrow mount is presented. A power of 150 kW with a Gaussian output pattern was measured. The Gaussian content in the output was 98% with less than 1% of depolarization. By optimizing the magnetic field at fixed frequency, a maximum efficiency of 15% was reached.
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  • 176
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    Physics of Plasmas 3 (1996), S. 2939-2950 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Hasegawa-Wakatani model equations for resistive drift waves are solved numerically for a range of values of the coupling due to the parallel electron motion. The largest Lyapunov exponent, λ1, is calculated to quantify the unpredictability of the turbulent flow and compared to other characteristic inverse time scales of the turbulence such as the linear growth rate and Lagrangian inverse time scales obtained by tracking virtual fluid particles. The results show a correlation between λ1 and the relative dispersion exponent, λp, as well as to the inverse Lagrangian integral time scale τi−1. A decomposition of the flow into two distinct regions with different relative dispersion is recognized as the Weiss decomposition [J. Weiss, Physica D 48, 273 (1991)]. The regions in the turbulent flow which contribute to λ1 are found not to coincide with the regions which contribute most to the relative dispersion of particles. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 2990-2993 
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    Topics: Physics
    Notes: The constraints on the moments of a distribution function satisfying an outflow condition are given. When a kinetic equation is approximated by a finite system of equations for the moments, the appropriate number of boundary conditions is found by analysis of the characteristics of the system. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 2994-3003 
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    Topics: Physics
    Notes: Sawtooth oscillations in tokamaks have been stabilized using ion cyclotron resonance heating (ICRH), but often reappear while ICRH continues. It is shown that the reappearance of sawteeth during one particular ICRH discharge in the Joint European Torus (JET) [Campbell et al., Phys. Rev. Lett. 60, 2148 (1988)] was correlated with a change of sign in the energy δW associated with m=1 internal kink displacements. To compute δW, a new analytical model is used for the distribution function of heated minority ions, which is consistent with Fokker–Planck simulations of ICRH. Minority ions have a stabilizing influence, arising from third adiabatic invariant conservation, but also contribute to a destabilizing shift of magnetic flux surfaces. As the minor radius of the q=1 surface rises, the stabilizing influence of minority ions diminishes, and the shape of the plasma cross section becomes increasingly important. It is shown that an increase in ICRH power can destabilize the kink mode: this is consistent with observations of sawteeth in JET discharges with varying levels of ICRH. It is suggested that the sawtooth-free period could be prolonged by minimizing the vertical extent of the ICRH power deposition profile.1996 American Institute of Physics
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    Physics of Plasmas 3 (1996), S. 3023-3031 
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    Topics: Physics
    Notes: A theory of the relaxation dynamics of the radial electric field toward its neoclassical value in the regime of subsonic poloidal rotation is presented. It is shown that the relaxation occurs via damped oscillations on time scales proportional to the ion transit time. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3043-3054 
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    Topics: Physics
    Notes: The threshold for stochastic transport of high energy trapped particles in a tokamak due to toroidal field ripple is calculated by explicit construction of primary resonances, and a numerical examination of the route to chaos. Critical field ripple amplitude is determined for loss. The expression is given in magnetic coordinates and makes no assumptions regarding shape or up-down symmetry. An algorithm is developed including the effects of prompt axisymmetic orbit loss, ripple trapping, convective banana flow, and stochastic ripple loss, which gives accurate ripple loss predictions for representative Tokamak Fusion Test Reactor [R. Hawryluk, Plasma Phys. Controlled Fusion 33, 1509 (1991)] and International Thermonuclear Experimental Reactor [K. Tomabechi, Proceedings of the 12th International Conference on Plasma Physics and Controlled Nuclear Fusion Research (International Atomic Energy Agency, Vienna, 1989), Vol. 3, p. 214] equilibria. The algorithm is extended to include the effects of collisions and drag, allowing rapid estimation of alpha particle loss in tokamaks. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3055-3064 
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    Topics: Physics
    Notes: Recently proposed novel concept of a spherical stellarator (P. E. Moroz, "Spherical stellarator configuration,'' to appear in Phys. Rev. Lett) is enhanced by adding the plasma current to the otherwise pure stellarator system. The coil configuration of this ultra low aspect ratio system differs from that of a spherical tokamak by inclination of external parts of the toroidal field coils. It is shown that the configuration considered possesses many attractive properties, including: wide flexibility of operating regimes, compact design and coil simplicity, good access to the plasma, closed vacuum flux surfaces with large enclosed volume, significant external rotational transform, strong magnetic well, and a high plasma β [β(0) in excess of 30%] equilibrium. It is shown that the bootstrap effect in a spherical stellarator, in principle, can supply the full plasma current required for the high-β equilibrium. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3182-3184 
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    Topics: Physics
    Notes: The growth rate of filamentation is examined analytically, as a function of the number density and the particle mass of negative ions, in the collisionless three-fluid theory of a plasma with cold ions. The growth rate dependence on the number density shows a qualitative change according to whether the pump intensity is below or above a critical level. In all cases of the pump intensity, the higher particle mass of negative ions means the weaker growth of filamentation. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3185-3187 
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    Topics: Physics
    Notes: The linear stability and eventual nonlinear saturation of electrostatic instabilities due to the shear in a plasma flow in the direction parallel to the magnetic field are described, analytically, via collisional fluid equations. Saturation is provided by coupling the linearly unstable eigenmode to a linearly damped nonlinear harmonic (double wave number). These modes are shown to saturate only when the linear instability driving term is below a critical value. The saturation amplitude is a function of the ratio of the "ideal'' growth rate to the diamagnetic frequency and can easily reach levels of 25% or more. © 1996 American Institute of Physics.
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    Physics of Plasmas 3 (1996), S. 3194-3196 
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    Topics: Physics
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  • 185
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    Physics of Plasmas 3 (1996), S. 3197-3197 
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    Topics: Physics
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  • 186
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    Physics of Plasmas 3 (1996), S. 2753-2759 
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: Plasma response to the ultrarelativistic beam of an arbitrary density is considered assuming a slow beam current growth. The problem is reduced to a single second order differential equation, which is numerically solved for Gaussian beams of various radii and densities. Graphs obtained clarify the structure of the ion channel, give insight into charge and current neutralizations of the dense beam, and permit the analysis of the focusing force acting on the beam in a plasma. © 1996 American Institute of Physics.
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  • 187
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    Physics of Plasmas 3 (1996), S. 3191-3193 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Scaling laws found under the assumption that two-body collisions dominate can be effectively used to benchmark complex multi-dimensional codes dedicated to investigating tokamak edge plasmas. The applicability of such scaling laws to the interpretation of experimental data, however, is found to be restricted to the relatively low plasma densities (〈1019 m−3) at which multistep processes, which break the two-body collision approximation, are unimportant. © 1996 American Institute of Physics.
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  • 188
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    Physics of Plasmas 3 (1996), S. 2486-2495 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In the limit of a small Debye length (λD→0) the plasma boundary layer in front of a negative absorbing wall is split up into a collision-free planar space charge sheath and a quasineutral presheath, where the ions are accelerated to fulfill the Bohm criterion. Apart from ion inertia, the mechanism of the presheath depends on an additional effect controlling the ion field acceleration. The present paper considers a stationary presheath dominated by the deflection of the ion orbits in a magnetic field parallel to the wall. The ion transport is provided by charge exchange collisions with cold neutrals. The potential profiles and ion distributions resulting from the self-consistent kinetic analysis are compared with expectations based on a previous hydrodynamic model. The transition from "closed'' to "open'' ion orbits results in typical deviations near the sheath edge. The kinetic Bohm criterion is found to be fulfilled marginally. © 1996 American Institute of Physics.
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  • 189
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    Physics of Plasmas 3 (1996), S. 2496-2501 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Space and astrophysical plasmas typically possess particle distribution functions with a power-law tail (in energy) that are well modeled by generalized Lorentzian distributions with an associated spectral index κ. Dispersion equations for linear waves of any mode in a plasma described by a Lorentzian-type particle distribution involve the modified plasma dispersion function Zκ*, a special function analogous to the plasma dispersion function Z that arises when the particle distribution is Maxwellian. The function Zκ*, originally defined by Summers and Thorne [Phys. Fluids B 3, 1835 (1991)] for integral values of κ, was recently generalized to real values of κ by Mace and Hellberg [Phys. Plasmas 2, 2098 (1995)]. In the present paper, a general formula is derived for the modified plasma dispersion function Zκ* corresponding to half-integral values of κ, and simple, explicit closed-form expressions are given for the functions Z3/2*, Z5/2*, Z7/2*, Z9/2*, and Z11/2*. These results complement the simple, closed-form expressions for the functions Zκ*, for κ=1, 2, 3,..., that already exist in the literature. © 1996 American Institute of Physics.
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  • 190
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    Physics of Plasmas 3 (1996), S. 2555-2558 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown that the full polarimetric transition matrix of a magnetized plasma can be determined with a good time resolution (down to 100 ns) and, furthermore, it is possible to make use mainly of phase measurements, which are less sensitive to noise than amplitude measurements. The simultaneous measurement of the nine elements of the absolute transition matrix (or of the eight elements of the normalized transition matrix) allows a significant enhancement of the information obtained for each probing beam. © 1996 American Institute of Physics.
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  • 191
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    Physics of Plasmas 3 (1996), S. 2559-2563 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new mechanism for Langmuir wave localization is investigated. Typical computer simulation of weak electron beam–plasma instabilities proceeds as follows: As Langmuir waves grow out of the noise, they react back on the beam particles by trapping. The subsequent phase shift puts the electrons out of phase with the waves. Then the instability is locally quenched, resulting in strong wave modulation, even before saturation of the instabilities. The typical size of wave packets is given by 2πvp/ω¯t, where vp and ω¯t denote the phase speed of the dominant wave and the average bounce frequency, respectively. The time scale for this process is considerably shorter than that of parametric instabilities. © 1996 American Institute of Physics.
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  • 192
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    Physics of Plasmas 3 (1996), S. 2599-2609 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In a uniform magnetoplasma (n(approximately-equal-to)1011 cm−3, kTe≥0.5 eV, B0≥15 G, 1 m × 2.5 m), electrons are heated locally and temporally by applying a short current pulse to a loop antenna or disk electrode. Electron magnetohydrodynamics characterize the experimental conditions. After the end of the applied current pulse and whistler wave transients, a current system driven by temperature gradients remains embedded in the plasma. The current system exhibits helicity. The associated electron drifts convect heat out of the flux tube. From diamagnetic field measurements, the decay of the electron temperature is obtained with high sensitivity (ΔkTe(approximately-equal-to)0.001 eV). The heat transport is inferred from the space–time dependence of the electron temperature. The temperature enhancement is confined to a channel whose length depends on heat input since the transport coefficients are temperature-dependent. © 1996 American Institute of Physics.
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  • 193
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    Physics of Plasmas 3 (1996), S. 2615-2619 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: This paper investigates theoretically the heating and nonlinear expansion of a nonneutral electron plasma due to elastic collisions with constant collision frequency νen between the plasma electrons and a background neutral gas. The model treats the electrons as a strongly magnetized fluid (ωpe2/ωce2(very-much-less-than)1) immersed in a uniform magnetic field B0eˆz. The model also assumes an axisymmetric plasma column (∂/∂θ=0) with negligible axial variation (∂/∂z=0), and that the process of heat conduction is sufficiently fast that the electrons have relaxed through electron-electron collisions to a quasi-equilibrium state with scalar pressure P(r,t)=n(r,t)T, and isothermal temperature T. Assuming that the electrons undergo elastic collisions with infinitely massive background gas atoms, global energy conservation is used to calculate the electron heating rate, dT(t)/dt, as the plasma column expands on a time scale τdiff∼(ωpe2νen/ωce2 )−1, and the electrostatic potential energy decreases. Coupled dynamical equations that describe the nonlinear evolution of the mean-square column radius r20(t) and electron temperature T(t) are derived and solved numerically. © 1996 American Institute of Physics.
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  • 194
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: High-resolution electron cyclotron emission (ECE) image reconstruction has been used to observe (m,n)=(2,1) and (3, 2) island structures on Tokamak Fusion Test Reactor [Plasma Phys. Controlled. Fusion 33, 1509 (1991)], where m and n are the poloidal and the toroidal mode number, respectively. The observed island structure is compared with other diagnostics, such as soft x-ray tomography and magnetic measurements. A cold elliptic island is observed after lithium pellet injection. Evidence for the enhancement of the heat transfer due to the island is observed. A relaxation phenomenon due to the m=2 mode is newly observed in Ohmic plasmas. © 1996 American Institute of Physics.
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  • 195
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    Physics of Plasmas 3 (1996), S. 2673-2678 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: An explanation is proposed for the experimentally observed tokamak phenomenon of a symmetric radiating edge evolving with increasing density into a multifaceted asymmetric radiation from the edge (MARFE) condition and then cooling into a detached plasma with a symmetric edge. The thermal stability impurity density limits increase with the poloidal mode number, m, of the edge plasma distribution. When the edge impurity density exceeds the m=0 mode density limit, the edge plasma evolves into a mixture of m(approximately-greater-than)0 modes which becomes more highly asymmetric as the density increases further and exceeds the density limits of successively higher modes, forcing the plasma into the remaining stable higher-m modes—the stable MARFE. If the radiative cooling of the edge is sufficient to reduce the temperature to Te∼10 eV, the various thermal modes are stabilized by the strong positive temperature dependence of the ionization cooling in the presence of neutral atoms, the impurity density limits are thereby increased, and the plasma evolves back into a stable m=0 mode. On the other hand, if the plasma becomes highly enough asymmetric before sufficient cooling takes place, nonlinear effects drive a disruptive collapse of the radial temperature distribution. © 1996 American Institute of Physics.
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  • 196
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    Physics of Plasmas 3 (1996), S. 2664-2672 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Fluctuation-induced fluxes have a bursty character. As a consequence, a significant part of the total particle flux is carried out by sporadic, large transport bursts. The local flux distribution function is consistent with a near-Gaussian character of the fluctuations. The radial dependence of the statistical properties of plasma fluctuations and induced fluxes have been investigated in the plasma boundary region of the TJ-I tokamak [I. García-Cortés et al., Phys. Fluids B 4, 4007 (1992)] and the TJ-IU torsatron [E. Ascasibar et al., in Plasma Physics and Controlled Fusion Research, Proceedings of the 15th Conference on Plasma Physics and Controlled Nuclear Fusion Research, Seville (International Atomic Energy Agency, Vienna, in press)]. There is a striking similarity between the statistical properties of turbulent transport in both devices. © 1996 American Institute of Physics.
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  • 197
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    Source: AIP Digital Archive
    Topics: Physics
    Notes: For p-polarized laser light obliquely incident on overdense plasmas with steep density gradients, a new collisionless absorption mechanism (sheath-transit absorption) is studied analytically and numerically. Complementary to Brunel's "not-so-resonant'' resonant absorption, and to the conventional resonant absorption, the sheath-transit absorption is most effective for steep density gradients and when the light pressure is less than the plasma pressure. It is also shown that the assumption of instantaneous particle reflection, usually a reasonable assumption for the normal incidence case, is invalid for the p-polarized oblique incident case. A test-particle model which provides a simple physical picture of the sheath-transit absorption is presented. Absorption coefficients obtained from the test-particle model agree reasonably well with those from particle-in-cell (PIC) simulations. The transition from the resonant absorption to the sheath-transit absorption as the density gradient steepens is demonstrated by PIC simulations with a wide range of density gradients. © 1996 American Institute of Physics.
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  • 198
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    Physics of Plasmas 3 (1996), S. 2725-2741 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A study of set-up, propagation, and interaction of non-linear and linear magnetohydrodynamic waves driven by magnetic reconnection is presented. The source term of the waves generated by magnetic reconnection is obtained explicitly in terms of the initial background conditions and the local reconnection electric field. The non-linear solution of the problem found earlier, serves as a basis for formulation and extensive investigation of the corresponding linear initial-boundary value problem of compressible magnetohydrodynamics. In plane geometry, the Green's function of the problem is obtained and its properties are discussed. For the numerical evaluation it turns out that a specific choice of the integration contour in the complex plane of phase velocities is much more effective than the convolution with the real Green's function. Many complex effects like intrinsic wave coupling, anisotropic propagation characteristics, generation of surface and side wave modes in a finite beta plasma are retained in this analysis. © 1996 American Institute of Physics.
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  • 199
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    Physics of Plasmas 3 (1996), S. 2760-2765 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Based on the gyrokinetics of free-electron masers, the influence of the electron-beam misalignment on the energy-transfer rate and starting current of a coaxial cavity gyrotron oscillator is studied. As a practical example, a numerical analysis is given to the 1.5 MW/140 GHz coaxial-cavity gyrotron that is being constructed at the Forschungszentrum Karlsruhe (FZK) [M. Thumm, Fusion Eng. Design 30, 139 (1995)]. Results show that the electron-beam misalignment will decrease the energy-transfer rate and increase the starting current, and the dependence of the output power on the magnetic field may become more sensitive due to a poor alignment of the electron-beam. © 1996 American Institute of Physics.
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  • 200
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    Physics of Plasmas 3 (1996), S. 2215-2217 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The parametric interaction of two crossed collimated laser beams with ion plasma modes has been studied. The underlying process is a density grating that is created by the two laser beams. The Bragg diffraction that is produced enhances forward stimulated Brillouin scattering (SBS) which results in a time dependent energy exchange between the two beams. A diversity of other SBS processes which depend on the symmetry of driving laser beams are also discussed. © 1996 American Institute of Physics.
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