# Ballistic File diffusion of Hard-Core particles in One-Dimensional Channels: A Numerical Study

## TL;DR

This paper investigates the ballistic diffusion behavior of hard-core particles in one-dimensional channels through numerical simulations, revealing three distinct dynamical regimes and their crossover characteristics.

## Contribution

It introduces a numerical approach to study ballistic diffusion of interacting particles, focusing on regimes and crossover times in one-dimensional channels.

## Key findings

- Identification of three diffusion regimes: independent, collective, and finite size effects.
- Analysis of crossover times between different dynamical regimes.
- Numerical results showing dependence on particle size, system size, and particle number.

## Abstract

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file movement of particles has received less attention. Here, the ballistic file diffusion of hard disks is studied using an addaptative continuum Monte Carlo numerical scheme. Dynamics is studied as a function of the size of the particles, the system size and the number of particles. The mean square displacement presents three regimes corresponding to independent motion, collective motion and finite size effects. These regimes and the crossover times between them are analyzed and presented in analogy with the ones observed for the single-file diffusion problem.