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arXiv · 2306.04726

Variational Formulation of Higher-order Guiding-center Vlasov-Maxwell Theory

Alain J. Brizard
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Abstract

Extended guiding-center Vlasov-Maxwell equations are derived under the assumption of time-dependent and inhomogeneous electric and magnetic fields that obey the standard guiding-center space-time-scale orderings. The guiding-center Vlasov-Maxwell equations are derived to second order, which contain dipole and quadrupole contributions to the guiding-center polarization and magnetization that include finite-Larmor-radius corrections. Exact energy-momentum conservation laws are derived from the variational formulation of these higher-order guiding-center Vlasov-Maxwell equations.

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Alain J. Brizard. 2023-06-07. Variational Formulation of Higher-order Guiding-center Vlasov-Maxwell Theory. https://arxiv.org/abs/2306.04726

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