Asymmetric exclusion processes on a closed network with bottlenecks
Abstract
We study the generic nonequilibrium steady states in asymmetric exclusion processes on a closed network with bottlenecks. To this end we propose and study closed simple networks with multiple-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.
- Publication:
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Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- January 2015
- DOI:
- 10.1088/1742-5468/2015/01/P01012
- arXiv:
- arXiv:1403.0206
- Bibcode:
- 2015JSMTE..01..012C
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 18 pages, 14 figures