| Abstract: |
| Extended Magnetohydrodynamics (XMHD) is a complicated parent model of Magnetohydrodynamics (MHD) that includes a generalized Ohm`s law with Hall drift and electron inertia effects. Remarkably, a new set of variables has been found in which the nondissipative dynamics of XMHD is simplified to the Lie dragging of two 2-forms\footnote{E.\ C.\ D`Avignon, P.\ J.\ Morrison, and M.\ Lingam, Phys.\ Plasmas {\bf23}, 062101 (2016); M\. Lingam, G\. Miloshevich, and P.\ J.\ Morrison, Phys.\ Lett.\ A {\bf380}, 2400 (2016).} In terms of the new variables the Hamiltonian structure is clarified and topological invariants like those of MHD are made manifest. A complete dissipative theory that includes cross-effects such as thermophoresis and a current related viscosity has been obtained by appealing to metriplectic structure.\footnote{B.\ Coquinot and P.\ J.\ Morrison, arXiv:1906.08313 [physics.flu-dyn].} |
|