Exact Energy Conservation Laws for Full and Truncated Nonlinear Gyrokinetic Equations

Abstract

The exact global energy conservation laws for the full-$f$ and $\delta f$ formulations of the nonlinear electromagnetic gyrokinetic equations in general magnetic geometry are presented. In both formulations, the relation between polarization and magnetization effects in the gyrokinetic Poisson and Ampère equations and the quadratic ponderomotive gyrocenter Hamiltonian is emphasized.

15 pages

References in corpus (4)

• Variational Principles for Reduced Plasma Physics
• Guiding-center recursive Vlasov and Lie-transform methods in plasma physics
• Orbit-averaged Guiding-center Fokker-Planck Operator
• Nonlinear finite-Larmor-radius effects in reduced fluid models

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• Discovering exact, gauge-invariant, local energy-momentum conservation laws for the electromagnetic gyrokinetic system by high-order field theory on heterogeneous manifolds
• Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
• Variational principle for the parallel-symplectic representation of electromagnetic gyrokinetic theory