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physics.plasm-ph2023
Spatial dynamics formulation of magnetohydrostatics
J. W. Burby, M. H. Updike
We present a formalism for importing techniques from dynamical systems theory in the study of three-dimensional magnetohydrodynamic (MHD) equilibria. By treating toroidal angle as…
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…