Spin waves in spin hydrodynamics

Abstract

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 ultra-relativistic 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-Jüttner statistics.

11 pages; 3 captioned figures; published version

References in corpus (6)

• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global quark polarization in non-central $A+A$ collisions
• Spin polarization evolution in a boost invariant hydrodynamical background
• Spin polarization dynamics in the non-boost-invariant background
• A general derivation of differential cross section in quark-quark scatterings at fixed impact parameter
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids

Cited by in corpus (4)

• Relativistic Spin Magnetohydrodynamics
• Stability studies of first order spin-hydrodynamic frameworks
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Propagation of spin channel waves