Mean field treatment of exclusion processes with random-force disorder

Abstract

The asymmetric simple exclusion process with random-force disorder is studied within the mean field approximation. The stationary current through a domain with reversed bias is analyzed and the results are found to be in accordance with earlier intuitive assumptions. On the grounds of these results, a phenomenological random barrier model is applied in order to describe quantitatively the coarsening phenomena. Predictions of the theory are compared with numerical results obtained by integrating the mean field evolution equations.

21 pages, 14 figures

References in corpus (5)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Driven Diffusive Systems with Disorder
• Partially Asymmetric Exclusion Processes with Sitewise Disorder
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Strong Griffiths singularities in random systems and their relation to extreme value statistics

Cited by in corpus (2)

• Dissipative random quantum spin chain with boundary-driving and bulk-dephasing: magnetization and current statistics in the Non-Equilibrium-Steady-State
• Inhomogeneous asymmetric exclusion processes between two reservoirs : large deviations for the local empirical observables in the Mean-Field approximation