## Hydrodynamics of spin currents

Domingo Gallegos, Umut Gursoy, Amos Yarom

SciPost Phys. 11, 041 (2021) · published 26 August 2021

### Abstract

We study relativistic hydrodynamics in the presence of a non vanishing spin chemical potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a perturbative setup and find surprisingly good agreement with measurements of global $\Lambda$-hyperon polarization carried out at RHIC.

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