Extending the collisional fluid equations into the long mean-free-path regime in toroidal plasmas. II. Frequency dependence

Journal Article · Fri Jul 15 00:00:00 EDT 2005 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.1947628· OSTI ID:20764399

Shaing, K C ^[1]

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1. Engineering Physics Department, University of Wisconsin, Madison, Wisconsin 53706 (United States)

In Part I [K. C. Shaing and D. A. Spong, Phys. Fluids B 2, 1190 (1990)], an expression for the pressure anisotropy that is valid in the plateau regime is derived from the linear drift kinetic equation that is driven by the plasma flows. To apply this expression to investigate the magnetohydrodynamic instabilities, a more general frequency-dependent pressure anisotropy is calculated here for both the plateau regime and the collisional fluid regime for toroidal plasmas with arbitrary symmetry property. It is found that when the growth rate of the mode is larger than the typical particle transit frequency and the collision frequency, the pressure anisotropy scales inversely with the mode growth rate instead of the collision frequency. It is also shown that when {nu}{sub k} in Eqs. (6) and (7) of a previous paper [K. C. Shaing, Phys. Fluids B 5, 3841 (1993)] is replaced by ({nu}{sub k}+{gamma}), equilibrium time-dependent plasma viscosities for toroidal plasmas are obtained. Here, {nu}{sub k} is the Coulomb collision frequency and {gamma} is the plasma flow damping rate.

• OSTI ID: 20764399
• Journal Information: Physics of Plasmas, Vol. 12, Issue 7; Other Information: DOI: 10.1063/1.1947628; (c) 2005 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
CHARGED-PARTICLE TRANSPORT
DAMPING
EQUILIBRIUM
FREQUENCY DEPENDENCE
ION COLLISIONS
KINETIC EQUATIONS
MAGNETIC CONFINEMENT
MAGNETOHYDRODYNAMICS
MEAN FREE PATH
PLASMA
PLASMA FLUID EQUATIONS
PLASMA INSTABILITY
PLASMA PRESSURE
PLATEAU REGIME
SYMMETRY
TIME DEPENDENCE
VISCOSITY