Lattice-gas model for collective biological motion

TL;DR

This paper introduces a lattice-gas model to simulate collective biological motion, revealing a weakly first order phase transition from random individual movement to coordinated group migration, supported by mean-field theory.

Contribution

The paper presents a novel lattice-gas model for biological motion and demonstrates a phase transition with theoretical support.

Findings

Identifies a weakly first order phase transition

Shows transition from random walks to collective migration

Provides mean-field theoretical support

Abstract

A simple self-driven lattice-gas model for collective biological motion is introduced. We find weakly first order phase transition from individual random walks to collective migration. A mean-field theory is presented to support the numerical results.