Phase diagram and edge effects in the ASEP with bottlenecks

Abstract

We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of a bottleneck, i.e. a sequence of consecutive defect sites with reduced hopping rate. The influence of such a bottleneck on the phase diagram is studied by computer simulations and a novel analytical approach. We find a clear dependence of the current and the properties of the phase diagram not only on the length of the bottleneck, but also on its position. For bottlenecks near the boundaries, this motivates the concept of effective boundary rates. Furthermore the inclusion of a second, smaller bottleneck far from the first one has no influence on the transport capacity. These results will form the basis of an effective description of the disordered TASEP and are relevant for the modelling of protein synthesis or intracellular transport systems where the motion of molecular motors is hindered by immobile blocking molecules.

accepted by Physica A

References in corpus (4)

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• Phase Coexistence in Driven One Dimensional Transport
• Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
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Cited by in corpus (4)

• 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