Cluster growth and dynamic scaling in a two-lane driven diffusive system
arXiv:cond-mat/0602595 · doi:10.1088/0305-4470/39/14/001
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.
17 pages, 9 figures. Accepted by Journal of Physics A (2006)