Asymmetric simple exclusion processes with diffusive bottlenecks

Details Asymmetric simple exclusion processes with diffusive bottlenecks Asymmetric simple exclusion processes with diffusive bottlenecks

2004-09-30

arxiv.org/abs/cond-mat/0409767v1

Phys. Rev. E 70, 066104 (2004)

Physics

Condensed Matter

Statistical Mechanics

revtex (PRE style), 21 pages, 9 figures, to appear in PRE

Scientific paper

10.1103/PhysRevE.70.066104

One-dimensional asymmetric simple exclusion processes (ASEPs) which are coupled to external reservoirs via diffusive transport are studied. These ASEPs consist of active compartments characterized by directed movements of the particles and diffusive compartments in which the particles undergo unbiased diffusion. Phase diagrams are obtained by a self-consistent mean field approach and by Monte Carlo simulations. The diffusive compartments act as diffusive bottlenecks if the velocity of the driven compartments or ASEPs is sufficiently large. A diffusive bottleneck at the boundary of the system leads to the absence of a maximal current phase, while a diffusive bottleneck in the interior of the system leads to a new phase characterized by different densities in the two active compartments adjacent to the diffusive one and to a maximal current defined by the bottleneck.

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