Hydrodynamics of spin currents

We study relativistic hydrodynamics in the presence of a non vanishing spin 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 certain dynamical spin limit and in a perturbative setup and find surprisingly good agreement with measurements of global Lambda-hyperon polarization carried out at RHIC.

Automated summary

In the presence of a non vanishing spin potential, relativistic hydrodynamics was studied, with an exhaustive analysis carried out to identify constitutive relations for stress tensor and spin current. The hydrodynamic equations of motion were written to second order in derivatives, and solved in a certain dynamical spin limit and perturbative setup, showing surprisingly good agreement with measurements of global Lambda-hyperon polarization at RHIC.