The irreversibility and classical mechanics laws

TL;DR

This paper investigates the origin of irreversibility in conservative classical systems, deriving equations linking entropy and forces, and explores the fundamental connection between thermodynamics and classical mechanics.

Contribution

It introduces a new formulation connecting entropy with generalized forces in classical mechanics, providing a mechanistic explanation for irreversibility.

Findings

Derived equations of motion for interacting systems.

Expressed entropy in terms of generalized forces.

Analyzed the link between thermodynamics and classical mechanics.

Abstract

The irreversibility of the dynamics of the conservative systems on example of hard disks and potentially of interacting elements is investigated in terms of laws of classical mechanics. The equation of the motion of interacting systems and the formula, which expresses the entropy through the generalized forces, are obtained. The explanation of irreversibility mechanism is submitted. The intrinsic link between thermodynamics and classical mechanics was analyzed.