# Relaxation to the equilibrium in the hard disk dynamics

## TL;DR

This paper investigates the relaxation process to equilibrium in hard disk dynamics, focusing on the exponential distribution of displacements in Event-Chain Monte Carlo simulations.

## Contribution

It provides insights into the relaxation criteria and confirms the exponential displacement distribution in the context of hard disk dynamics.

## Key findings

- Displacement distributions follow an exponential law.
- Relaxation criteria for hard disk systems are examined.
- Event-Chain Monte Carlo effectively models relaxation behavior.

## Abstract

We examine the question of the criteria of the relaxation to the equilibrium in the hard disk dynamics. In the Event-Chain Monte Carlo, we check the displacement distributions which follows to the exponential law.