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Condensed Matter > Statistical Mechanics

Title: 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.
Comments: 4 pages, 3 figures
Subjects: Statistical Mechanics (cond-mat.stat-mech); Materials Science (cond-mat.mtrl-sci)
Cite as: arXiv:cond-mat/0110301v1 [cond-mat.stat-mech]

Submission history

From: B. Schmittmann [view email]
[v1] Tue, 16 Oct 2001 00:23:05 GMT (68kb)