Lane formation dynamics of oppositely self-driven binary particles: Effects of density and finite system size

TL;DR

This study uses molecular dynamics simulations to analyze how density and system size influence lane formation in oppositely self-driven particles, revealing phase transitions, unique clustering, and system size effects on transport efficiency.

Contribution

It systematically investigates the effects of density and system size on lane formation, providing a phase diagram and insights into the underlying dynamics and efficiency.

Findings

Identified phase diagram distinguishing no-lane and lane states.

Observed clustered structures when lanes are destroyed at high desired velocities.

Demonstrated strong system size effects related to lane dynamics and transport efficiency.

Abstract

We examined the lane formation dynamics of oppositely self-driven binary particles by molecular dynamics simulations of a two-dimensional system. Our study comprehensively revealed the effects of the density and system size on the lane formation. The phase diagram distinguishing the no-lane and lane states was systematically determined for various combinations of the anisotropic friction coefficient and the desired velocity. A peculiar clustered structure was observed when the lane was destroyed by greatly increasing the desired velocity. A strong system size effect was demonstrated by the relationship between the temporal and spatial scales of the lane structure. This system size effect can be attributed to an analogy with the driven lattice gas. The transport efficiency was characterized from the scaling relation in terms of the degree of lane formation and the interface thickness between different lanes.