Chiral effects in classical spinning gas

TL;DR

This paper develops a statistical mechanics framework for a rotating ideal gas of classical spinning particles, revealing chiral effects arising from spin-rotation interactions that influence thermodynamic properties.

Contribution

It introduces a generalized Maxwell-Boltzmann distribution and partition function for spinning particles in rotation, highlighting novel chiral effects in classical gases.

Findings

Spin-rotation interaction causes entropy change.

Heat capacity and chemical potential are affected by spin.

Angular momentum exhibits chiral behavior.

Abstract

We consider a statistical mechanics of rotating ideal gas consisting of classical non-relativistic spinning particles. The microscopic structure elements of the system are massive point particles with a nonzero proper angular momentum. The norm of proper angular momentum is determined by spin. The direction of proper angular momentum changes continuously. Applying the Gibbs canonical formalism for the rotating system, we construct the one-particle distribution function, generalising the usual Maxwell-Boltzmann distribution, and the partition function of the system. The model demonstrates a set of chiral effects caused by interaction of spin and macroscopic rotation, including the change of entropy, heat capacity, chemical potential and angular momentum.