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math-ph2023
An inclusive curvature-like framework for describing dissipation: metriplectic 4-bracket dynamics
Philip J. Morrison, Michael H. Updike
An inclusive framework for joined Hamiltonian and dissipative dynamical systems, which preserve energy and produce entropy, is given. The dissipative dynamics of the framework is b…
math-ph2023
A Hamiltonian and geometric formulation of general Vlasov-Maxwell-type models
William Barham, Philip J. Morrison, Eric Sonnendrücker
Three geometric formulations of the Hamiltonian structure of the macroscopic Maxwell equations are given: one in terms of the double de Rham complex, one in terms of L2 duality, an…