Cooperative jump motions of jammed particles in a one-dimensional periodic potential

TL;DR

This paper investigates cooperative jump motions of interacting particles in a one-dimensional periodic potential, analyzing their diffusion behavior and size distribution, revealing exponential laws in large systems.

Contribution

It provides numerical and theoretical analysis of cooperative jumps, including diffusion constants and size distribution laws, in one-dimensional periodic potentials.

Findings

Diffusion constant for cooperative motion calculated numerically.

Size distribution of jumps follows an exponential law.

Comparison between numerical results and theoretical estimates.

Abstract

Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated and it is compared with theoretical estimates. We find that the size distribution of the cooperative jump motions obeys an exponential law in a large system.