First-order spin magnetohydrodynamics

Abstract

Based on recent papers, we discuss the formulation of the first-order relativistic spin magnetohydrodynamics (MHD) with the totally antisymmetric spin current and properties of the anisotropic linear waves awaken near an equilibrium configuration. We show that there appears a critical angle in the momentum direction of the linear waves, where a pair of propagating modes turns into purely diffusive modes. Due to this critical behavior, polynomial solutions do not fully capture the angle dependence of the linear waves.

Contribution to the "Reimei workshop 2024" in Jeju. arXiv admin note: text overlap with arXiv:2409.07096

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• An introduction to relativistic spin hydrodynamics
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