# Hydrodynamics of spin currents

### Submission summary

 As Contributors: Umut Gursoy Arxiv Link: https://arxiv.org/abs/2101.04759v2 (pdf) Date submitted: 2021-04-15 01:55 Submitted by: Gursoy, Umut Submitted to: SciPost Physics Academic field: Physics Specialties: Fluid Dynamics High-Energy Physics - Theory Approach: Theoretical

### 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.

###### Current status:
Editor-in-charge assigned