Relativistic kinetic theory: toward the microscopic substantiation of zeroth law of thermodynamics

TL;DR

This paper derives an exact relativistic kinetic equation for classical particles interacting via a scalar field, elucidating the microscopic mechanism behind irreversible equilibration in relativistic systems.

Contribution

It provides a novel derivation of a closed relativistic kinetic equation and explains the microscopic basis of irreversibility in relativistic classical particle systems.

Findings

Established the microscopic deterministic mechanism of irreversible equilibration.

Derived an exact closed-form relativistic kinetic equation.

Linked the kinetic theory to the zeroth law of thermodynamics.

Abstract

An exact closed relativistic kinetic equation is derived for a system of identical classical particles interacting with each other through a scalar field. The microscopic deterministic mechanism of the irreversible equilibration process in a relativistic classical system of interacting particles has been established. Keywords: Irreversible equilibration process; Classical relativistic dynamics; Retarded interactions.