Nonlinear gyrokinetic Maxwell-Vlasov equations using magnetic coordinates

Technical Report · Thu Sep 01 04:00:00 EDT 1988

DOI:https://doi.org/10.2172/6793579· OSTI ID:6793579

Brizard, A

A gyrokinetic formalism using magnetic coordinates is used to derive self-consistent, nonlinear Maxwell-Vlasov equations that are suitable for particle simulation studies of finite-..beta.. tokamak microturbulence and its associated anomalous transport. The use of magnetic coordinates is an important feature of this work as it introduces the toroidal geometry naturally into our gyrokinetic formalism. The gyrokinetic formalism itself is based on the use of the Action-variational Lie perturbation method of Cary and Littlejohn, and preserves the Hamiltonian structure of the original Maxwell-Vlasov system. Previous nonlinear gyrokinetic sets of equations suitable for particle simulation analysis have considered either electrostatic and shear-Alfven perturbations in slab geometry, or electrostatic perturbations in toroidal geometry. In this present work, fully electromagnetic perturbations in toroidal geometry are considered. 26 refs.

• Research Organization: Princeton Univ., NJ (USA). Plasma Physics Lab.
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 6793579
• Report Number(s): PPPL-2552; ON: DE89001174
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
BOLTZMANN-VLASOV EQUATION
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
HAMILTONIANS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
PHASE SPACE
PLASMA SIMULATION
QUANTUM OPERATORS
SIMULATION
SPACE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TURBULENCE