Speaker
Description
We investigate spin hydrodynamic properties with an focus on entropy production for massive spin 1/2 particles. We consider particle collisions both with and without the influence of chiral anomalies such as the chiral magnetic or vortical effects, encoded by Berry curvature. This manifests as a spatial shift ($\Delta$). In doing so we first define and entropy that makes use of the matrix valued distribution function without the influence of a spatial shift. We show that the entropy production is positive definite. Then we extend the definition to include effects of the spatial effects in two ways. First, we absorb the average center of mass (COM) shift ($\bar \Delta$) into the definition of the distribution so that we can isolate the effect of the remaining relative shift $\Delta_{rel}$. we find that near thermodynamic equilibrium this relative entropy is also positive definite. Otherwise, the effect due to $\Delta_{rel}$ must be treated as a small correction to the shift free entropy production. Finally, we consider a form of entropy that includes both the COM and relative shifts. This entropy production is manifestly positive definite and naturally extends to the massless limit as seen in chiral kinetic theory.
