Balance network of asymmetric simple exclusion process

Abstract

We investigate a balance network of the asymmetric simple exclusion process (ASEP). Subsystems consisting of ASEPs are connected by bidirectional links with each other, which results in balance between every pair of subsystems. The network includes some specific important cases discussed in earlier works such as the ASEP with the Langmuir kinetics, multiple lanes and finite reservoirs. Probability distributions of particles in the steady state are exactly given in factorized forms according to their balance properties. Although the system has nonequilibrium parts, the expressions are well described in a framework of statistical mechanics based on equilibrium states. Moreover, the overall argument does not depend on the network structures, and the knowledge obtained in this work is applicable to a broad range of problems.

References in corpus (7)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• The totally asymmetric simple exclusion process on networks
• Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
• Traffic of single-headed motor proteins KIF1A: effects of lane changing
• Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process

Cited by in corpus (2)

• Defect-induced phase transition in the asymmetric simple exclusion process
• Dynamics of assembly production flow