Magnetized Fokker--Planck equation with quasilinear diffusion for nonaxially symmetric velocity distribution functions

Journal Article · Mon Sep 01 04:00:00 EDT 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865463· OSTI ID:5103206

Hassan, M H.A.

The kinetic equation governing the evolution of a nonaxially symmetric velocity distribution function of plasma particles in a uniform magnetic field, including the effects of collisions as well as quasilinear diffusion, is presented and analyzed. It is shown that, if the test particles' orbits are straight lines, the kinetic equation reduces to a standard Fokker--Planck form with friction, collisional diffusion, and quasilinear diffusion coefficients a-italicl-italicl-italic expressible in terms of scalar potentials. These potentials are simple generalizations of Rosenbluth potentials and can easily be used in numerical solutions of the Fokker--Planck equation.

• Research Organization: Lawrence Livermore National Laboratory, University of California, Livermore, California 94550
• OSTI ID: 5103206
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:9; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
COLLISIONAL PLASMA
DIFFERENTIAL EQUATIONS
DIFFUSION
DISTRIBUTION FUNCTIONS
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
KINETIC EQUATIONS
MAGNETIC FIELDS
MAGNETIZATION
NUMERICAL SOLUTION
ORBITS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
POTENTIALS
VELOCITY