Hall magnetohydrodynamics in a relativistically strong mean magnetic field

Y. Kawazura

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arXiv · 2310.19072

Hall magnetohydrodynamics in a relativistically strong mean magnetic field

Y. Kawazura

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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.

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Y. Kawazura. 2023-10-29. Hall magnetohydrodynamics in a relativistically strong mean magnetic field. https://arxiv.org/abs/2310.19072

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