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- W2263615212 abstract "The paper describes the unique geometric properties of ideal magnetohydrodynamics (MHD), and demonstrates how such features are inherited by extended MHD, viz. models that incorporate two-fluid effects (the Hall term and electron inertia). The generalized helicities, and other geometric expressions for these models are presented in a topological context, emphasizing their universal facets. Some of the results presented include: the generalized Kelvin circulation theorems; the existence of two Lie-dragged 2-forms; and two concomitant helicities that can be studied via the Jones polynomial, which is widely utilized in Chern-Simons theory. The ensuing commonality is traced to the existence of an underlying Hamiltonian structure for all the extended MHD models, exemplified by the presence of a unique noncanonical Poisson bracket, and its associated energy." @default.
- W2263615212 created "2016-06-24" @default.
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- W2263615212 date "2016-07-01" @default.
- W2263615212 modified "2023-10-16" @default.
- W2263615212 title "Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics" @default.
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- W2263615212 doi "https://doi.org/10.1016/j.physleta.2016.05.024" @default.
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