On the balance equations for a dilute binary mixture in special relativity

TL;DR

This paper derives the fundamental balance equations for a relativistic binary mixture in thermal equilibrium using the full Boltzmann equation and introduces a novel approach with the concept of chaotic velocity.

Contribution

It presents a new method employing chaotic velocity to derive balance equations for relativistic mixtures, advancing kinetic theory in special relativity.

Findings

Derived general balance equations for relativistic mixtures

Introduced a novel approach using chaotic velocity

Established a foundation for thermodynamic flux calculations

Abstract

In this work we study the properties of a relativistic mixture of two non-reacting species in thermal local equilibrium. We use the full Boltzmann equation (BE) to find the general balance equations. Following conventional ideas in kinetic theory, we use the concept of chaotic velocity. This is a novel approach to the problem. The resulting equations will be the starting point of the calculation exhibiting the correct thermodynamic forces and the corresponding fluxes; these results will be published elsewhere.