Relativistic Spin Magnetohydrodynamics

TL;DR

This paper develops a relativistic spin magnetohydrodynamics framework starting from kinetic theory, revealing new spin-magnetic coupling effects and deriving related transport coefficients.

Contribution

It introduces a novel relativistic dissipative magnetohydrodynamics model incorporating spin effects, including the first derivation of spin-magnetic coupling at gradient order.

Findings

Emergence of Einstein-de Hass and Barnett effects from the framework.

Calculation of multiple transport coefficients involving spin and magnetic field.

Identification of spin-magnetic coupling appearing at gradient order in hydrodynamics.

Abstract

Starting from kinetic theory description of massive spin-1/2 particles in presence of magnetic field, equations for relativistic dissipative non-resistive magnetohydrodynamics are obtained in the small polarization limit. We use a relaxation time approximation for the collision kernel in the relativistic Boltzmann equation and calculate non-equilibrium corrections to the phase-space distribution function of spin-polarizable particles. We demonstrate that our framework naturally leads to emergence of the well known Einstein-de Hass and Barnett effects. We obtain multiple transport coefficients and show, for the first time, that the coupling between spin and magnetic field appear at gradient order in hydrodynamic equations.