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

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.

17 pages, 9 figures. Accepted by Journal of Physics A (2006)

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Cited by in corpus (6)

• Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
• Statistical Behavior Of Domain Systems
• Coarsening of "clouds" and dynamic scaling in a far-from-equilibrium model system
• Congestion fronts of diffusing particles
• Slow dynamics in a driven two-lane particle system
• Travelling with/against the flow. Deterministic diffusive driven systems