Theoretical approach to congestion relaxation and saturated congestion in TASEP (totally asymmetric simple exclusion process) network with multi-chain section with flow/density-dependent rules of junctions

DOI10.1016/J.PHYSLETA.2017.09.034zbMath1375.82078OpenAlexW2759206188MaRDI QIDQ1681621

Takahiro Tannai, Katsuhiro Nishinari

Publication date: 24 November 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2017.09.034

zbMATH Keywords

critical hyperbolacongestion relaxationcritical ellipsedensity-dependent rulesflow-dependent rulesTASEP network with junctions

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

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Cites Work

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• ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A JUNCTION: THE EFFECT OF UNEQUAL INJECTION RATES
• Phase diagram of one-dimensional driven lattice gases with open boundaries
• TOTALLY ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A BRANCHING POINT
• Congestion relaxation due to density-dependent junction rules in TASEP network
• Backward propagation of congestion in TASEP ladder-network

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