A new expression for the production term in the relativistic model of polyatomic gases

TL;DR

This paper introduces a novel expression for the production term in the relativistic Boltzmann equation for polyatomic gases, ensuring compliance with the H-Theorem and consistency across different thermodynamic transition methods.

Contribution

It proposes a new, exact expression for the production term Q that is independent of the number of moments and applicable in relativistic models of polyatomic gases.

Findings

Satisfies the H-Theorem without approximation

Independent of the number of moments in thermodynamic transition

Consistent with both Maxwellian Iteration and Eckart methods

Abstract

A new expression is here proposed for the production term Q in the Boltzmann Equation. This new expression satisfies the H-Theorem (non approximated) and, in the transition to Ordinary Thermodynamics gives a result which is independent on the number N of the moments which are used both if the Maxwellian Iteration or the Eckart method are used.