Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder

Abstract

We investigate the effect of quenched spatial disordered hopping rates on the characteristics of the asymmetric simple exclusion process (ASEP) with open boundaries both numerically and by extensive simulations. Disorder averages of the bulk density and current are obtained in terms of various input and output rates. We study the binary and uniform distributions of disorder. It is verified that the effect of spatial inhomogeneity is generically to enlarge the size of the maximal current phase. This is in accordance with the mean field results obtained by Harris and Stinchcombe. Furthermore, we obtain the dependence of the current and the bulk density on the characteristics of the disorder distribution function. It is shown that the impact of disorder crucially depends on the particle input and out rates. In some situations, disorder can constructively enhance the current.

9 pages, 22 eps figures, Revtex

References in corpus (3)

• Bottleneck-induced transitions in a minimal model for intracellular transport
• Driven Diffusive Systems with Disorder
• Hydrodynamic mean field solutions of 1D exclusion processes with spatially varying hopping rates

Cited by in corpus (7)

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• Phase diagram and edge effects in the ASEP with bottlenecks
• Asymmetric simple exclusion process describing conflicting traffic flows
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Asymmetric Exclusion Processes with Disorder: Effect of Correlations
• Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
• Understanding the edge effect in TASEP with mean-field theoretic approaches