Asymmetric exclusion processes on a closed network with bottlenecks
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Publication:3302087
DOI10.1088/1742-5468/2015/01/P01012zbMath1456.82862arXiv1403.0206MaRDI QIDQ3302087
Anjan Kumar Chandra, Rakesh Chatterjee, Abhik Basu
Publication date: 11 August 2020
Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)
Abstract: We study the generic non-equilibrium steady states in asymmetric exclusion processes on a closed network with bottlenecks. To this end we proposes and study closed simple networks with multiply-connected non-identical junctions. Depending upon the parameters that define the network junctions and the particle number density, the models display phase transitions with both static and moving density inhomogeneities. The currents in the models can be tuned by the junction parameters. Our models highlight how extended and point defects may affect the density profiles in a closed directed network. Phenomenological implications of our results are discussed.
Full work available at URL: https://arxiv.org/abs/1403.0206
Transport processes in time-dependent statistical mechanics (82C70) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)
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