Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas

Details Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas

2001-10-16

arxiv.org/abs/cond-mat/0110301v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1209/epl/i2002-00399-6

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.

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