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Hamiltonian structure of the gauge-free gyrokinetic Vlasov-Maxwell equations

Published 20 Aug 2021 in physics.plasm-ph, math-ph, and math.MP | (2108.09384v3)

Abstract: The Hamiltonian structure of the gauge-free gyrokinetic Vlasov-Maxwell equations is presented in terms of a Hamiltonian functional and a gyrokinetic Vlasov-Maxwell bracket. The bracket is used to show that the gyrokinetic angular-momentum conservation law can also be expressed in Hamiltonian form. The Jacobi property of the gyrokinetic Vlasov-Maxwell bracket is also demonstrated explicitly.

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