Asymmetric simple exclusion processes with diffusive bottlenecks

TL;DR

This paper investigates one-dimensional asymmetric exclusion processes with diffusive bottlenecks, revealing how these bottlenecks influence phase behavior and current limitations through theoretical and simulation methods.

Contribution

It introduces a comprehensive analysis of ASEPs with diffusive compartments, highlighting the impact of diffusive bottlenecks on phase diagrams and system dynamics.

Findings

Diffusive bottlenecks can eliminate the maximal current phase.

Interior diffusive bottlenecks create a new phase with distinct densities.

Boundary bottlenecks restrict the system's maximal current.

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.