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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
; | | Date: |
24 Feb 2006 | | Subject: | Statistical Mechanics; Materials Science | | 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, $gamma$. For small values of $gamma$, the growing clusters display dynamic scaling, with a growth exponent of 2/3. For larger values of $gamma$, the growth exponent must be adjusted, suggesting the ordered (jammed) state is not a genuine phase but rather a finite size effect. | | Source: | arXiv, cond-mat/0602595 | | Services: | Forum | Review | PDF | Favorites | |
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