# Balance network of asymmetric simple exclusion process

Source: [Balance network of asymmetric simple exclusion process](<https://www.sota2.com/research/paper/68fa2bf81e209131ce84be19>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T15:03:22.741Z

Authors: Takahiro Ezaki, Katsuhiro Nishinari

Published: 2012-07-13T04:59:10.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1207.3552>)

[PDF](<https://arxiv.org/pdf/1207.3552.pdf>)