Year: 2012
Type: article
Abstract: We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. For a totally asymmetric process, an earlier phenomenological description is improved, yielding ξ( t ) ∼ t /(ln t ) 2 for the time dependence of the length scale, which is found to be in agreement with results of Monte Carlo simulations. For a partially asymmetric process, the logarithmically slow coarsening predicted by a phenomenological theory is confirmed by Monte Carlo simulations and numerical mean-field calculations. Finally, coarsening in a bidirectional, two-lane model with random lane-change rates is studied. Here, Monte Carlo simulations indicate an unusual dependence of the dynamical exponent on the density of particles.
Authors: Róbert Juhász, Géza Ódor
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2070543222