Hall magnetohydrodynamics in a relativistically strong mean magnetic field
Plasma Physics
2023-10-31 v1 High Energy Astrophysical Phenomena
Abstract
This Letter presents a magnetohydrodynamic model that describes the small-amplitude fluctuations with wavelengths comparable to ion inertial length in the presence of a relativistically strong mean magnetic field. The set of derived equations is virtually identical to the non-relativistic Hall reduced magnetohydrodynamics (Schekochihin et al. 2019), differing only by a few constants that take into account the relativistic corrections. This means that all the properties of kinetic Alfv\'en turbulence and ion cyclotron turbulence inherent in the non-relativistic Hall regime persist unchanged even in a magnetically dominated regime.
Keywords
Cite
@article{arxiv.2310.19072,
title = {Hall magnetohydrodynamics in a relativistically strong mean magnetic field},
author = {Y. Kawazura},
journal= {arXiv preprint arXiv:2310.19072},
year = {2023}
}