Exact closed probability-free kinetic equation for system of classical particles with retarded interactions: towards microscopic foundation of kinetics

TL;DR

This paper derives an exact, closed, probability-free kinetic equation for classical many-body systems with retarded interactions, demonstrating how retardation induces irreversibility, thus advancing the microscopic foundation of kinetic theory.

Contribution

It introduces a novel exact kinetic equation accounting for retarded interactions, providing a microscopic basis for irreversibility in classical systems.

Findings

Retardation causes irreversible behavior in many-body systems.

Derived an exact closed kinetic equation without probability assumptions.

Highlights the importance of interaction delay in microscopic dynamics.

Abstract

The exact closed equation of motion for microscopic distribution function of classical many-body system with account of interactions retardation between particles is derived. It is shown that interactions retardation leads to irreversible behaviour of many-body systems. PACS: 05.20.Dd ; 05.60.-k; 45.20.-d