Hamiltonian structure of the guiding-center Vlasov-Maxwell equations

TL;DR

This paper demonstrates the Hamiltonian structure of guiding-center Vlasov-Maxwell equations, showing the exact Jacobi identity satisfaction and deriving conservation laws in Hamiltonian form.

Contribution

It introduces a Hamiltonian functional and a guiding-center Vlasov-Maxwell bracket that satisfy the Jacobi identity exactly, advancing the theoretical understanding of plasma dynamics.

Findings

The guiding-center Vlasov-Maxwell bracket satisfies the Jacobi identity exactly.

Conservation laws for momentum and angular momentum are expressed in Hamiltonian form.

The Hamiltonian structure provides a rigorous foundation for plasma physics models.

Abstract

The Hamiltonian structure of the guiding-center Vlasov-Maxwell equations is presented in terms of a Hamiltonian functional and a guiding-center Vlasov-Maxwell bracket. The bracket, which is shown to satisfy the Jacobi identity exactly, is used to show that the guiding-center momentum and angular-momentum conservation laws can also be expressed in Hamiltonian form.