Hamiltonian Formalism of Extended Magnetohydrodynamics
Plasma Physics
2015-06-11 v2
Abstract
The extended magnetohydrodynamics (MHD) system, including the Hall effect and the electron inertia effect, has a Hamiltonian structure embodied by a noncanonical Poisson algebra on an infinite-dimensional phase space. A nontrivial part of the formulation is the proof of Jacobi's identity for the Poisson bracket. We unearth a basic Lie algebra that generates the Poisson bracket. A class of similar Poisson algebra may be generated by the same Lie algebra, which encompasses the Hall MHD system and inertial MHD system.
Keywords
Cite
@article{arxiv.1412.6228,
title = {Hamiltonian Formalism of Extended Magnetohydrodynamics},
author = {Hamdi M. Abdelhamid and Yohei Kawazura and Zensho Yoshida},
journal= {arXiv preprint arXiv:1412.6228},
year = {2015}
}
Comments
17 pages