Relativistic magnetohydrodynamics with spin
arxiv(2024)
摘要
In this work, we present a novel framework of relativistic non-resistive
dissipative magnetohydrodynamics for spin-polarized particles. Utilizing a
classical relativistic kinetic equation for the distribution function in an
extended phase-space of position, momentum, and spin, we derive equations of
motion for dissipative currents at first-order in spacetime gradients. Our
findings reveal a coupling between fluid vorticity and magnetization via an
electromagnetic field, leading to relativistic analogs of the Einstein-de Haas
and Barnett effects. Our study provides a tool for a better understanding of
the polarization phenomena observed in relativistic heavy-ion collisions.
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