Relativistic kinetic theory of classical systems of charged particles: towards the microscopic foundation of thermodynamics and kinetics

TL;DR

This paper develops a relativistic kinetic theory for classical charged particles, deriving a closed system of nonlocal equations that describe their microscopic evolution without electromagnetic field variables, highlighting irreversibility and hereditarity.

Contribution

It introduces an exact, closed relativistic non-Hamiltonian system of kinetic equations for charged particles, advancing the microscopic foundation of thermodynamics and kinetics.

Findings

The system describes charge evolution via microscopic distribution functions.

Solutions are non-time-reversal invariant, indicating irreversibility.

The equations exhibit hereditarity, reflecting dependence on past states.

Abstract

In the complete system of equations of evolution of the classical system of charges and the electromagnetic field generated by them, the field variables are excluded. An exact closed relativistic non-Hamiltonian system of nonlocal kinetic equations, that describes the evolution of a system of charges in terms of their microscopic distribution functions, is obtained . The solutions of this system of equations are non-invariant with respect to time reversal, and also have the property of hereditarity.