Nonlinear gyroviscous force in a collisionless plasma

Journal Article · Sat Sep 01 04:00:00 EDT 2001 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.1389093· OSTI ID:40277864

Belova, E V

Nonlinear gyroviscous forces in a collisionless plasma with temperature variations are calculated from the gyrofluid moments of the gyrokinetic Vlasov equation. The low-frequency gyrokinetic ordering and electrostatic perturbations are assumed, and an additional finite Larmor radius (FLR) expansion in a parameter {epsilon}{sub {perpendicular}}equivalent to(k{sub {perpendicular}}{rho}){sup 2}<1 is performed. This approach leads naturally to an expression for the gyroviscous force, ({nabla}{center_dot}{pi}{sub g}), in terms of the gyrocenter distribution function, thus including all resonant effects, and represents a systematic FLR expansion in a general form (no assumption of any closure is made). The expression of ({nabla}{center_dot}{pi}{sub g}) is also calculated in terms of the particle-fluid moments by making the transformation from the gyrocenter to particle coordinates. The calculated ({nabla}{center_dot}{pi}{sub g}) represents a modification of the Braginskii gyroviscosity for a collisionless plasma with {nabla}T{ne}0. It is compared with previous calculations based on the traditional fluid approach. As a byproduct of the gyroviscosity calculations, we derive a set of nonlinear reduced gyrofluid (and a corresponding set of particle-fluid) moment equations with FLR corrections, which exhibit a generalized form of the ''gyroviscous cancellation.''

• Sponsoring Organization: (US)
• OSTI ID: 40277864
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 9 Vol. 8; ISSN 1070-664X
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
CANCELLATION
CLOSURES
COLLISIONLESS PLASMA
DISTRIBUTION FUNCTIONS
ELECTROSTATICS
LARMOR RADIUS
MODIFICATIONS
TRANSFORMATIONS