Asymmetric simple exclusion processes with diffusive bottlenecks

Abstract

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.

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

References in corpus (3)

• Phase transitions in an exactly soluble one-dimensional exclusion process
• Traffic of molecular motors through tube-like compartments
• Walks of molecular motors in two and three dimensions

Cited by in corpus (8)

• Experimental study of pedestrian flow through a bottleneck
• Theoretical Investigation of Totally Asymmetric Exclusion Processes on Lattices with Junctions
• Effects of the chemomechanical stepping cycle on the traffic of molecular motors
• Theoretical investigation of synchronous totally asymmetric exclusion processes on lattices with multiple-input-single-output junctions
• Movements of molecular motors: Ratchets, random walks and traffic phenomena
• Transport by molecular motors in the presence of static defects
• Cytoskeleton and Cell Motility
• Walks of molecular motors interacting with immobilized filaments