Irreversibility in two-body system. Toy model

TL;DR

This paper demonstrates that irreversibility in classical interacting particle systems arises from delayed interactions, applicable to both few-body and many-body systems, highlighting a fundamental cause of irreversible behavior.

Contribution

It introduces a simple toy model showing that interaction delays cause irreversibility in classical systems, bridging few-body and many-body dynamics.

Findings

Irreversibility is due to interaction delays.

Both few-body and many-body systems exhibit this behavior.

Delay in interactions leads to irreversible dynamics.

Abstract

It is shown that the irreversible behavior of classical systems of interacting particles is a common property for both few-body and many-body systems. It is due to the delay in the interactions between the particles. PACS: 45.50.Jf Few- and many-body systems; 82.40.Bj Oscillations, chaos, and bifurcations; 05.70.-a Thermodynamics. Keywords: irreversibility, interactions retardation.