Classical many-body systems with retarded interactions: dynamical irreversibility

TL;DR

This paper derives exact equations for classical many-body systems with retarded interactions, demonstrating that such interactions induce irreversible behavior in these systems.

Contribution

It introduces a precise formulation of equations of motion considering retarded interactions, revealing their role in causing irreversibility.

Findings

Retarded interactions lead to irreversible dynamics.

Exact equations of motion are derived for these systems.

Irreversibility emerges from the retardation effects.

Abstract

The exact equations of motion for microscopic density of classical many-body system with account of inter-particle retarded interactions are derived. It is shown that interactions retardation leads to irreversible behaviour of many-body systems.