A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation
Plasma Physics
2025-02-12 v1 Mathematical Physics
math.MP
Abstract
We present a new variational formulation for Viscous and resistive Hall Magnetohydrodynamic. We first find a variational principle for ideal HMHD by applying the physical assumptions leading to HMHD at the lagrangian level, and then we add the viscous and resistive terms by the means of constrained variations. We also provide a metriplectic reformulation of our formulation, based on two canonical Lie-Poisson brackets for the ideal part and metric 4-brackets for the dissipative part.
Keywords
Cite
@article{arxiv.2502.06840,
title = {A least Action principle for visco-resistive Hall Magnetohydrodynamic with metriplectic reformulation},
author = {Valentin Carlier and Martin Campos-Pinto},
journal= {arXiv preprint arXiv:2502.06840},
year = {2025}
}
Comments
21 pages