Naslov
Absence of phase coexistence in disordered exclusion processes with bypassing

Autori
Szavits-Nossan, Juraj ; Uzelac, Katarina

Izvornik
Journal of statistical mechanics-theory and experiment (1742-5468) 2011 (2011), 05; P05030-1

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
disordered systems; driven diffusive systems; stationary states

Sažetak
Adding quenched disorder to the one-dimensional asymmetric exclusion process is known to always induce phase separation. To test the robustness of this result, we introduce two modifications of the process that allow particles to bypass defect sites. In the first case, particles are allowed to jump l sites ahead with the probability pl ~ l − (1 + σ), where σ > 1. By using Monte Carlo simulations and the mean-field approach, we show that phase coexistence may be absent up to enormously large system sizes, e.g. lnL ~ 50, but is present in the thermodynamic limit, as in the short-range case. In the second case, we consider the exclusion process on a quadratic lattice with symmetric and totally asymmetric hopping perpendicular to and along the direction of driving, respectively. We show that in an anisotropic limit of this model a regime may be found where phase coexistence is absent.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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