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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 626-628 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A physically meaningful equilibrium is derived for a plasma of finite pressure anisotropy confined by the magnetic field of a point dipole. Analytic solutions are explicitly displayed for low plasma pressure with strong pressure anisotropy and for high plasma pressure with weak pressure anisotropy, and numerical results presented for intermediate cases. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 4561-4566 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The formalism for internal ballooning modes in a tokamak is extended to retain the strong radial variation of the ion diamagnetic drift frequency characteristic of edge plasmas in the pedestal region. The resulting finite Larmor radius (FLR) stabilization is modified and can be weaker than in the case of constant diamagnetic frequency. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 3309-3318 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The interchange and ballooning stability of general anisotropic pressure plasma equilibria in a dipolar magnetic field are investigated. Starting with the Kruskal–Oberman form of the energy principle and using a Schwarz inequality, a fluid form of the anisotropic pressure energy principle is derived, which, after appropriate minimization, gives an interchange stability condition and an integro-differential ballooning equation. These results are applied to the case of an anisotropic pressure equilibrium having the perpendicular pressure equal to the parallel pressure times a constant and, in particular, to a model point dipole equilibrium. It is found that the model equilibrium is interchange stable for all plasma betas = (plasma pressure/magnetic pressure) and ballooning stable for all betas up to some critical value. The interesting planetary case of "tied" field lines is also considered. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 2526-2529 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The energy principle is employed to show that the equilibrium confined by the magnetic field of a point dipole is stable to ballooning modes. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 7 (2000), S. 1452-1458 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The influence of a toroidal magnetic field on the equilibrium and stability of a plasma confined by the magnetic field of a point dipole is considered, since it may be necessary to introduce a toroidal magnetic field to smooth electron heating or other asymmetries in the toroidal direction that can lead to toroidal electric fields and a loss of confinement due to radial E×B drift. To begin, a toriodal magnetic field is shown to restore confinement by reducing electron heating departures from axisymmetry. Then the Grad–Shafranov equation for a point dipole in the presence of a toroidal field is solved to explicitly demonstrate that an equilibrium exists. Finally, it is shown that a toroidal magnetic field destabilizes the otherwise stable point dipole ballooning modes at high plasma pressure. Consequently, if a toroidal magnetic field is necessary to remove toroidal heating asymmetries in a dipole equilibrium, the heating may have to be performed transiently or at lower plasma pressures. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 2217-2231 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In a partially ionized plasma, the charged particle population is coupled to the neutrals through charge exchange, ionization and recombination. An interchange instability is identified in which the driving factor is the neutral pressure gradient and the dominant collisional process is charge exchange. Regimes are considered in which the mean free path for neutral collisions with ions λni is small in comparison to the macroscopic length scales. The instability is analogous to a gravitational interchange mode with an effective gravity geff=νinVn where νin is the collision frequency of ions with neutrals. The neutral flow Vn=−(Mniνin)−1dpn/dx results from a balance between the neutral pressure gradient and collisional friction with the ions. An arbitrary kyλni dispersion relation is derived using fluid equations to describe the ions and the Boltzmann equation to describe the neutrals. This dispersion relation contains viscous and inertial effects and is substantially altered in the presence of realistic parallel wavelength due to a coupling between the unstable interchange mode and a stabilizing shear Alfvén mode. Reasonable conditions under which the modes may exist are examined and the possible relevance to divertor plasmas is considered. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 5 (1998), S. 3961-3968 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The edge plasma of a tokamak is affected by atomic physics processes and can have density and temperature variations along the magnetic field that strongly modify edge transport. A closed system of equations in the Pfirsch–Schlüter regime is presented that can be solved for the radial and poloidal variation of the plasma density, electron and ion temperatures, and the electrostatic potential in the presence of neutrals and a poloidally asymmetric energy radiation sink due to inelastic electron collisions. Neutrals have a large diffusivity so their viscosity and heat flux can become important even when their density is not high, in which case the neutral viscosity alters the electrostatic potential at the edge by introducing strong radial variation. The strong parallel gradient in the electron temperature that can arise in the presence of a localized radiation sink drives a convective flow of particles and heat across the field. This plasma transport mechanism can balance the neutral influx and is particularly strong if multifaceted asymmetric radiation from the edge (MARFE) occurs, since the electron temperature then varies substantially over the flux surface. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    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.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 2365-2373 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Conventional transport orderings employed in the core of a tokamak plasma allow large divergence-free flows in flux surfaces, but only weak radial flows. However, alternate orderings are required in the edge region where radial diffusion must balance the rapid loss due to free streaming to divertor plates or limiters. Kinetic equations commonly used to study the plasma core do not allow such a balance and are, therefore, inapplicable in the plasma edge. Similarly, core transport formulas cannot be extended to the edge region without major, qualitative alteration. Here the necessary changes are addressed. By deriving and solving a novel kinetic equation, distinctive collisional transport laws for the plasma edge are constructed. It is found that the new edge ordering retains the radial diffusion and parallel flow of particles, momentum, and heat to lowest order in the conservation equations. To higher order a surprising form for parallel transport in the scrape-off layer is found, in which the parallel flow of particles and heat are driven by a combination of the conventional gradients, viscosity, and new terms involving radial derivatives. The new terms are not relatively small, and could affect understanding of limiter and divertor operation. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Physics of Plasmas 3 (1996), S. 927-938 
    ISSN: 1089-7674
    Source: AIP Digital Archive
    Topics: Physics
    Notes: To gain insight into divertor operation, similarity techniques are employed to investigate whether model systems of equations plus boundary conditions admit scaling transformations that lead to useful divertor scaling laws. These can be used to perform similarity experiments or more fully exploit large computer simulations. Fluid plasma models of the divertor region are adopted that ignore anomalous processes. We consider neutral descriptions in both the short and long mean-free path limits. As usual, the more approximations that are made, the more scaling transformations are allowed, leading to fewer independent dimensionless parameters that need to be considered, thereby imposing fewer divertor similarity constraints. The simplest model considered balances electron heat conduction with impurity radiation and places the fewest constraints on similarity. To be able to model the onset of detached divertor operation in short mean-free path regimes, a fluid neutral description is employed that balances plasma pressure by neutral pressure. In this model the constraints on divertor similarity are most severe. A less constrained long mean-free path or Knudsen neutral model is also considered. It models the onset of detached divertor operation by balancing plasma pressure by momentum transfer to the neutrals that are randomized by collisions with the deep slot sidewalls. The simpler models have relaxed divertor similarity constraints, but all models remain severely restricted by the collisionality constraints. © 1996 American Institute of Physics.
    Type of Medium: Electronic Resource
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