Relativistic Spin Magnetohydrodynamics

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.

arXiv comment8+5 pages, published version

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• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Damping of spin waves
• Spin polarization and correlation of quarks from glasma
• Hybrid approach to perfect and dissipative spin hydrodynamics
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• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
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