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  • 1
    Electronic Resource
    Electronic Resource
    Fluid description of a magnetized plasma : Review,Tutorial and Invited Papers from the 43rd Annual Meeting of the APS Division of Plasma Physics (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 9 (2002), S. 1882-1889 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: With the constraints of Lorentz covariance as a guide, the most general energy-momentum tensor for a plasma subject to a dominant electromagnetic force is constructed. A consistent scheme is developed to derive a closed set of fluid equations determining all the unknowns in this energy-momentum tensor. Note that knowledge of the energy-momentum tensor is sufficient to close the Maxwell equations. The new theory takes the original magnetohydrodynamics (MHD) program, a fluid theory of magnetized plasma, to its logical limit, but is distinct from MHD in several respects. Relativistic as well as the nonrelativistic (directed as well as thermal speed much smaller than the speed of light) versions of the system are displayed. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1445178
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  • 2
    Electronic Resource
    Electronic Resource
    Ion plateau transport near the tokamak magnetic axis (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 953-958 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Conventional neoclassical transport theory does not pertain near the magnetic axis, where orbital variation of the minor radius and the poloidal field markedly change the nature of guiding-center trajectories. Instead of the conventional tokamak banana-shaped trajectories, near-axis orbits, called potato orbits, are radially wider and lead to distinctive kinetic considerations. Here it is shown that there is a plateau regime for the near-axis case; the corresponding potato-plateau ion thermal conductivity is computed. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.872663
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  • 3
    Electronic Resource
    Electronic Resource
    Flux limiting due to electron impact excitation energy loss (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 461-467 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Large radiation losses in the electron energy balance equation due to electron impact excitation can cause the parallel scale length to become small enough that a short mean-free path expansion becomes questionable for the high-speed tail electrons. It then becomes necessary to limit the parallel electron heat flux so that it remains below its free-streaming value nT3/2/m, where n, T, and m are the electron density, temperature, and mass. A Boltzmann inelastic scattering col- lision operator is adopted to investigate whether electron impact excitation can lead to a self-consistent flux limit by depleting the electron tail. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.871872
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  • 4
    Electronic Resource
    Electronic Resource
    Generalization of collisional fluid theory to long mean-free-path and relativistic motion (2002)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 9 (2002), S. 3341-3348 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The influence of collisions on a magnetized plasma at arbitrary collisionality is modeled by fluid equations that include the self-consistent moments of the collision operator. A key feature of the derivation is its basis in Lorentz-invariant equations, using the most general form of the energy-momentum tensor in a magnetized plasma. The collisional limit of the resulting description is shown to agree qualitatively with well-known short mean-free-path equations. In particular it reproduces exactly the correct symmetry of the transport matrix. Previously the long mean-free-path limit has been shown to reproduce collisionless physics more accurately than other collisionless fluid models. © 2002 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1490347
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  • 5
    Electronic Resource
    Electronic Resource
    Sheared-flow generalization of the Harris sheet (2000)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 1287-1293 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A novel, exact class of solutions to the Vlasov–Maxwell system, with self-generated magnetic fields and nonuniform plasma flows, are constructed. It is shown that a gyrotropic distribution function (independent of gyrophase) does not allow equilibrium shear flow; introduction of agyrotropy is essential for the maintenance of spatially nonuniform velocity fields. The new self-consistent sheared-flow solutions include the shearless Harris sheet [E. G. Harris, Nuovo Cimento 23, 117 (1962)] solution as a special case. These equilibria are likely to be relevant to a variety of astrophysical flows (most natural flows are sheared) and to a better understanding of the laboratory phenomena observed, for example, in the device MRX [Magnetic Reconnection Experiment, M. Yamada, H. Ji, S. Hsu, T. Carter, R. Kulsrud, N. Bretz, F. Jodes, Y. Ono, and F. Perkins, Phys. Plasmas 4, 1936 (1997)] designed to study magnetic reconnection. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.873939
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  • 6
    Electronic Resource
    Electronic Resource
    Transport theory in the collisionless limit (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 3282-3286 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Traditional transport theory provides a closure of fluid equations that is valid in the collisional, short mean-free-path limit. The possibility of extending an analogous closure to long mean-free path is examined here. An appropriate kinetic equation, using a model collision operator, is solved rigorously for arbitrary collisionality but weak, Maxwellian source terms. The corresponding particle and heat flows are then expressed in terms of the density and temperature profiles. The transport matrix is found to be symmetric even at vanishing collision frequency; in the collisionless limit it takes the form of nonlocal operators. The operator corresponding to thermal conductivity agrees with one found previously by other authors. However particle diffusion, which turns out to satisfy a local Fick's law for any finite collision frequency, becomes singular at vanishing collisionality, where the pressure gradient vanishes. It is concluded that the fluxes can generally be expressed in terms of particle and energy sources, but not always in terms of pressure and temperature profiles. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.872996
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  • 7
    Electronic Resource
    Electronic Resource
    Plasma transport near the separatrix of a magnetic island (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 4 (1997), S. 2920-2927 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The simplest nontrivial model of transport across a magnetic island chain in the presence of collisionless streaming along the magnetic field is solved by a Wiener–Hopf procedure. The solution found is valid provided the boundary layer about the island separatrix is narrow compared to the island width. The result demonstrates that when this assumption is satisfied the flattened profile region is reduced by the boundary layer width. The calculation is similar to the recent work by Fitzpatrick [Phys. Plasmas 2, 825 (1995)] but is carried out in the collisionless, rather than the collisional, limit of parallel transport, and determines the plasma parameters on the separatrix self-consistently. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.872423
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  • 8
    Electronic Resource
    Electronic Resource
    Ion orbit loss and the poloidal electric field in a tokamak (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3641-3645 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Monte Carlo simulation studies for ion orbit loss in limiter tokamaks show a poloidal asymmetry in ion loss arising from differences in ion orbit geometry. Since electron loss to the limiter is uniformly distributed because of its tiny orbit width, the nonuniform ion loss could cause a poloidal electric field that would tend to make the ion loss to the limiter more uniform. A simple analytical derivation of this poloidal electric field and a discussion of its effects on ion movement and transport are also presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870898
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  • 9
    Electronic Resource
    Electronic Resource
    A two-dimensional kinetic model of the scrape-off layer (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 1882-1889 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A two-dimensional (radius and poloidal angle), analytically tractable kinetic model of the ion (or energetic electron) behavior in the scrape-off layer of a limiter or divertor plasma in a tokamak is presented. The model determines the boundary conditions on the core ion density and ion temperature gradients, the power load on the limiter or divertor plates, the energy carried per particle to the walls, and the effective flux limit. The self-consistent electrostatic potential in the quasineutral scrape-off layer is determined by using the ion kinetic model of the layer along with a Maxwell–Boltzmann electron response that occurs because most electrons are reflected by the Debye sheaths (assumed to be infinitely thin) at the limiter or divertor plates.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870644
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  • 10
    Electronic Resource
    Electronic Resource
    Effects of orbit squeezing on poloidal mass flow and bootstrap current in tokamak plasmas (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 1 (1994), S. 3365-3368 
    Details
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown, by solving the drift kinetic equation, that the asymptotic values of the poloidal mass flow and the bootstrap current in the banana regime of large-aspect-ratio tokamak plasmas are not affected by orbit squeezing. However, because the definition of ion collisionality υ*i is reduced by a factor S−3/2, with S=1−(ρpid ln Er/dr) (cEr/Bpνti), the values of both the poloidal mass flow and the bootstrap current at the banana–plateau transition are different from those of the conventional neoclassical theory. Here, ρpi is the ion poloidal gyroradius, Er is the radial electric field, c is the speed of light, Bp is the poloidal magnetic strength, νti is the ion thermal speed, and r is the local radius. The implications for the experimental observations of poloidal rotation speeds in high mode (H mode) are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.870484
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