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Analytical and simulation studies of 2D asymmetric simple exclusion process

Author

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  • Ding, Zhong-Jun
  • Yu, Shao-Long
  • Zhu, Kongjin
  • Ding, Jian-Xun
  • Chen, Bokui
  • Shi, Qin
  • Lu, Xiao-Shan
  • Jiang, Rui
  • Wang, Bing-Hong

Abstract

Two species of particles driven perpendicularly and interacting through hardcore exclusion on the 2D lattice is studied. Each particle has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some particles could move along the border of jamming stripes. We have performed mean field analysis for the moving and intermediate phase respectively. The analytical results agree with the simulation results well. The empty site moves along the interface of jamming stripes when the system only has one empty site. The average movement of empty site in one Monte Carlo step (MCS) has been analyzed through the master equation. Under open boundary conditions, the system exhibits moving and jamming phases. The critical injection probability αc shows non-monotonically against the forward moving probability q. The analytical results of average velocity, the density and the flow rate against the injection probability in the moving phase also agree with simulation results well.

Suggested Citation

  • Ding, Zhong-Jun & Yu, Shao-Long & Zhu, Kongjin & Ding, Jian-Xun & Chen, Bokui & Shi, Qin & Lu, Xiao-Shan & Jiang, Rui & Wang, Bing-Hong, 2018. "Analytical and simulation studies of 2D asymmetric simple exclusion process," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1700-1714.
    • Handle: RePEc:eee:phsmap:v:492:y:2018:i:c:p:1700-1714
    DOI: 10.1016/j.physa.2017.11.091
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    Cited by:

    1. Ding, Zhongjun & Chen, Bokui & Zhang, Lele & Jiang, Rui & Wu, Yao & Ding, Jianxun, 2019. "Segment travel time route guidance strategy in advanced traveler information systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. López-Alamilla, N.J. & Challis, K.J. & Deaker, A.G. & Jack, M.W., 2023. "The effect of futile chemical cycles on chemical-to-mechanical energy conversion in interacting motor protein systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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