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arXiv · 2406.05932

Hamiltonian Structure of the Guiding-center Vlasov-Maxwell Equations with Polarization and Magnetization

Alain J. Brizard
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Abstract

The Hamiltonian formulation of guiding-center Vlasov-Maxwell equations, which contain dipole contributions to the guiding-center polarization and magnetization, is presented in terms of a guiding-center Hamiltonian functional that is derived from the exact guiding-center Vlasov-Maxwell energy conservation law, and an antisymmetric functional bracket that satisfies the Jacobi property. Exact energy-momentum and angular momentum conservation laws are expressed in Hamiltonian form and the guiding-center Vlasov-Maxwell entropy functional is shown to be a Casimir functional.

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Alain J. Brizard. 2024-06-09. Hamiltonian Structure of the Guiding-center Vlasov-Maxwell Equations with Polarization and Magnetization. https://arxiv.org/abs/2406.05932

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