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 (15)

• Statistical Physics of Vehicular Traffic and Some Related Systems
• 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
• Intra-cellular transport of single-headed molecular motors KIF1A
• Two-Channel Totally Asymmetric Simple Exclusion Processes
• The totally asymmetric simple exclusion process on networks
• Symmetry breaking and phase coexistence in a driven diffusive two-channel system
• Mixed population of competing TASEPs with a shared reservoir of particles
• Competition between Multiple Totally Asymmetric Simple Exclusion Processes for a Finite Pool of Resources
• Two-way traffic flow: exactly solvable model of traffic jam
• Intra-cellular transport by single-headed kinesin KIF1A: effects of single-motor mechano-chemistry and steric interactions
• Hydrodynamic limit of multi-chain driven diffusive models
• Traffic of single-headed motor proteins KIF1A: effects of lane changing
• Exact solution of a heterogeneous multi-lane asymmetric simple exclusion process

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• Comments on "Y.-Q. Wang, et al., Commun. Nonlinear Sci. Numer. Simul. 103:105981 (2021)"