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Cluster growth and dynamic scaling in a two-lane driven diffusive system

I. T. Georgiev·B. Schmittmann·R. K. P. Zia
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Abstract

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density, the system develops jams (clusters) which coarsen with time. A key parameter is the passing probability, $γ$. For small values of $γ$, the growing clusters display dynamic scaling, with a growth exponent of 2/3. For larger values of $γ$, the growth exponent must be adjusted, suggesting the ordered (jammed) state is not a genuine phase but rather a finite size effect.

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I. T. Georgiev, B. Schmittmann, R. K. P. Zia. 2006-02-24. Cluster growth and dynamic scaling in a two-lane driven diffusive system. https://doi.org/10.1088/0305-4470%2F39%2F14%2F001

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