Nonlinear relativistic gyrokinetic Vlasov-Maxwell equations

Journal Article · Wed Dec 01 04:00:00 EST 1999 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.873742· OSTI ID:690716

Brizard, A J ^[1]; Chan, A A ^[2]

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1. Lawrence Berkeley National Laboratory and Physics Department, University of California, Berkeley, California 94720 (United States)
2. Department of Space Physics and Astronomy, Rice University, Houston, Texas 77005-1892 (United States)

A set of self-consistent nonlinear gyrokinetic equations is derived for relativistic charged particles in a general nonuniform magnetized plasma. Full electromagnetic-field fluctuations are considered with spatial and temporal scales given by the low-frequency gyrokinetic ordering. Self-consistency is obtained by combining the nonlinear relativistic gyrokinetic Vlasov equation with the low-frequency Maxwell equations in which charge densities and current densities are expressed in terms of moments of the gyrokinetic Vlasov distribution. For these self-consistent gyrokinetic equations, a low-frequency energy conservation law is also derived. {copyright} {ital 1999 American Institute of Physics.}

• OSTI ID: 690716
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 12 Vol. 6; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BEAM-PLASMA SYSTEMS
BOLTZMANN-VLASOV EQUATION
CHARGED-PARTICLE TRANSPORT
FLUCTUATIONS
KINETIC EQUATIONS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
PLASMA DENSITY
PLASMA SIMULATION
RELATIVISTIC PLASMA