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Totally asymmetric exclusion processes on two intersected lattices with open and periodic boundaries

  • He Feng Du
  • , Yao Ming Yuan
  • , Mao Bin Hu
  • , Ruili Wang
  • , Rui Jiang
  • , Qing Song Wu

Research output: Journal PublicationArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper, we study TASEPs on two intersected lattices. One TASEP has an open boundary (lattice 1) and the other has a periodic boundary (lattice 2). Extensive Monte Carlo simulations are carried out. It is found that the system phase diagram structure depends on the density ρ on lattice 2. Three critical densities ρc = 1/3, 1/2 and 2/3 are identified and four phase diagram structures are observed. The density profiles corresponding to all stationary phases and the phase boundaries are calculated using mean-field analysis. The analytic results are in good agreement with the simulation results.

Original languageEnglish
Article numberP03014
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2010
Issue number3
DOIs
Publication statusPublished - 2010
Externally publishedYes

Free Keywords

  • Driven diffusive systems (theory)
  • Phase diagrams (theory)
  • Traffic models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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