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2022

Relativistic Spin Magnetohydrodynamics

Bhadury, Samapan, Florkowski, Wojciech, Jaiswal, Amaresh et al.

Understand

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.