Defect-induced phase transition in the asymmetric simple exclusion process

Abstract

We reconsider the long-standing question of the critical defect hopping rate $r_c$ in the one-dimensional totally asymmetric exclusion process (TASEP) with a slow bond (defect). For $r<r_c$ a phase separated state is observed due to queuing at the defect site whereas for $r\ge r_c$ the defect site has only local effects on the stationary state of the homogeneous system. Mean-field theory predicts $r_c=1$ (when hopping rates outside the defect bond are equal to 1) but numerical investigations seem to indicate $r_c\approx 0.80(2)$. Here we improve the numerics to show that $r_c>0.99$ and give strong evidence that indeed $r_c=1$ as predicted by mean-field theory, and anticipated by recent theoretical findings.

5 pages, 6 Figs, version as accepted by Europhysics Letters

References in corpus (13)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Bottleneck-induced transitions in a minimal model for intracellular transport
• Towards a model for protein production rates
• Towards a model for protein production rates
• Driven Diffusive Systems with Disorder
• Phase diagram and edge effects in the ASEP with bottlenecks
• Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder
• Single-Bottleneck Approximation for Driven Lattice Gases with Disorder and Open Boundary Conditions
• Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
• Hydrodynamic mean field solutions of 1D exclusion processes with spatially varying hopping rates
• Balance network of asymmetric simple exclusion process
• Effects of junctional correlations in the totally asymmetric simple exclusion process on random regular networks

Cited by in corpus (1)

• Analytical results for a coagulation/decoagulation model on an inhomogeneous lattice