Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas

Abstract

We study domain growth properties of two species of particles executing biased diffusion on a half-filled square lattice, consisting of just two lanes. Driven in opposite directions by an external ``electric'' field, the particles form clusters due to steric hindrance. While strictly one-dimensional systems remain disordered, clusters in our ``quasi 1D'' case grow until only a single macroscopic cluster survives. In the coarsening regime, the average cluster size increases $\sim t^{0.6}$, significantly faster than in purely diffusion-controlled systems. Remarkably, however, the cluster size distribution displays dynamic scaling, following a form consistent with a diffusion-limited growth mechanism.

4 pages, 3 figures

References in corpus (1)

• Vacancy-mediated domain growth in a driven lattice gas

Cited by in corpus (17)

• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• Canonical Analysis of Condensation in Factorised Steady State
• Novel phase-separation transition in one-dimensional driven models
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Universality classes in two-component driven diffusive systems
• Anomalous nucleation far from equilibrium
• Non-KPZ modes in two-species driven diffusive systems
• Sharp crossover and anomalously large correlation length in driven systems
• Statistical Behavior Of Domain Systems
• Cluster growth and dynamic scaling in a two-lane driven diffusive system
• Effects of differential mobility on biased diffusion of two species
• Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
• Coarsening of "clouds" and dynamic scaling in a far-from-equilibrium model system
• Steady States of a Nonequilibrium Lattice Gas
• Wigner Surmise For Domain Systems
• Mean-Field Approximation for Spacing Distribution Functions in Classical Systems
• Crossover Between Organized and Disorganized States In Some Non-Equilibrium Systems