Spin waves in spin hydrodynamics

The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic hydrodynamics with spin based on the de Groot van Leeuwen???van Weert definitions of the energy-momentum and spin tensors. We derive the analytical expression for the spin wave velocity for arbitrary statistics and show that it goes to half the speed of light in the ultrarelativistic limit. We find that only the transverse degrees of freedom propagate, analogously to electromagnetic waves. Finally, we consider the effect of dissipative corrections and calculate the damping coefficients for the case of Maxwell-J??ttner statistics.

Automated summary

In this study, the propagation properties of spin degrees of freedom were analyzed within the framework of relativistic hydrodynamics. The analytical expression for the spin wave velocity was derived, showing that it approaches half the speed of light in the ultrarelativistic limit. It was found that only the transverse degrees of freedom propagate, similar to electromagnetic waves. Additionally, the effect of dissipative corrections and the damping coefficients for the case of Maxwell-Jüttner statistics were considered.