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Concomitant Hamiltonian and topological structures of extended magnetohydrodynamics by Manasvi Lingam; George Miloshevich; Philip J. Morrison is a Physics and Astronomy article available to read on EtoBox.

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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 Liedragged 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.

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Author

Manasvi Lingam; George Miloshevich; Philip J. Morrison

Published

2016

Language

EN

Field

Physics and Astronomy (Physical Sciences)