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Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas

J. T. Mettetal·B. Schmittmann·R. K. P. Zia
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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.

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J. T. Mettetal, B. Schmittmann, R. K. P. Zia. 2001-10-16. Coarsening Dynamics of a Quasi One-dimensional Driven Lattice Gas. https://doi.org/10.1209/epl%2Fi2002-00399-6

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