Generalized Maxwell-Juttner distribution for rotating spinning particle gas

We consider a statistical mechanics and thermodynamics of a rotating ideal gas of classical relativistic particles with nonzero mass and spin. Applying the Gibbs theory of canonical ensembles for a system rotating with constant angular velocity, we obtain the one-particle distribution function by positions, momenta, and spin variables. By computing the partition function, we obtain various thermodynamic quantities of slowly rotating gas. Both the statistical and thermodynamic approaches demonstrate the polarization of spinning degree of freedom, with the majority of spins being directed along the angular velocity vector. This confirms the presence of chiral effects in the system.