Guiding-center theory for three-dimensional collisionless finite Larmor radius plasmas

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860722· OSTI ID:6513845

Ilgisonis, V I ^[1]

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1. Institute of Nuclear Fusion, Russian Research Centre Kurchatov Institute,'' 123182 Moscow (Russian Federation)

The guiding-center theory appropriate for describing an arbitrary three-dimensional collisionless plasma system is developed. The generalization of the drift kinetic equation for the finite Larmor radius (FLR) case is derived by the Vlasov kinetic equation expansion in powers of inverse cyclotron frequency in terms of conventional magnetohydrodynamic (MHD) variables. It is shown that the first integrals of this equation analogous to energy and magnetic moment can also be found in the nonstationary case. It allows one to get a compact and physically clear form for the drift kinetic equation, including FLR corrections. The moment equations similar to MHD ones, but including the FLR corrections, are also derived. Some acceptable ways to truncate the moment equations series are considered. In particular the FLR generalization of Chew--Goldberger--Low equations is also developed. All results are given explicitly in invariant vector form. They can be used to extend the applicability and to optimize numerical codes as MHD as combined MHD kinetic ones, and should be considered rather as methodological ones.

• OSTI ID: 6513845
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:7; ISSN PFBPEI; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330* -- Plasma Kinetics
Transport
& Impurities-- (1992-)
BOLTZMANN-VLASOV EQUATION
CALCULATION METHODS
CHEW-LOW METHOD
COLLISIONLESS PLASMA
CYCLOTRON FREQUENCY
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
FLUID MECHANICS
GUIDING-CENTER APPROXIMATION
HYDRODYNAMICS
KINETIC EQUATIONS
LARMOR RADIUS
MAGNETIC MOMENTS
MAGNETOHYDRODYNAMICS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA