Shock formation in the periodic exclusion process with asymmetric coupling

被引:1
|
作者
Jiang, Rui [1 ,2 ]
Hu, Mao-Bin [1 ]
Nishinari, Katsuhiro [2 ]
Wang, Ruili [3 ]
Wu, Qing-Song [1 ]
机构
[1] Univ Sci & Technol China, Sch Engn Sci, Hefei 230026, Peoples R China
[2] Univ Tokyo, Sch Engn, Dept Aeronaut & Astronaut, Bunkyo Ku, Tokyo 1138656, Japan
[3] Massey Univ, Sch Engn & Adv Technol, Palmerston North, New Zealand
关键词
phase diagrams (theory); driven diffusive systems (theory); stochastic particle dynamics (theory); SPONTANEOUS SYMMETRY-BREAKING; DRIVEN DIFFUSIVE SYSTEMS; PHASE-TRANSITIONS; OPEN BOUNDARIES; LATTICE-GAS; MODEL; SEPARATION; TRANSPORT; BLOCKAGE; RING;
D O I
10.1088/1742-5468/2010/07/P07003
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper studies a periodic asymmetric exclusion process composed of two equal parts. Particles are allowed to jump between these two parts. Shock formation has been revealed when the lane changing rates are asymmetric, in both strong and weak coupling situations. The density profiles and phase structure of the model are analyzed. Mean field analysis has been carried out and it is in agreement with the Monte Carlo simulations. The results have been compared with those arising from open boundaries and the differences are indicated and explained.
引用
收藏
页数:13
相关论文
共 50 条
  • [1] SHOCK FLUCTUATIONS IN THE ASYMMETRIC SIMPLE EXCLUSION PROCESS
    FERRARI, PA
    FONTES, LRG
    PROBABILITY THEORY AND RELATED FIELDS, 1994, 99 (02) : 305 - 319
  • [2] Asymmetric simple exclusion process with periodic boundary driving
    Popkov, Vladislav
    Salerno, Mario
    Schuetz, Gunter M.
    PHYSICAL REVIEW E, 2008, 78 (01):
  • [3] Numerical Investigations on Coupling of Asymmetric Exclusion Process with Zero Range Process
    Jiang, Rui
    Jia, Bin
    Hu, Mao-Bin
    Wang, Ruili
    Wu, Qing-Song
    TRAFFIC AND GRANULAR FLOW '07, 2009, : 689 - +
  • [4] Shock profiles for the asymmetric simple exclusion process in one dimension
    Derrida, B
    Lebowitz, JL
    Speer, ER
    JOURNAL OF STATISTICAL PHYSICS, 1997, 89 (1-2) : 135 - 167
  • [5] Shock profiles for the asymmetric simple exclusion process in one dimension
    B. Derrida
    J. L. Lebowitz
    E. R. Speer
    Journal of Statistical Physics, 1997, 89 : 135 - 167
  • [6] Asymptotics for the Norm of Bethe Eigenstates in the Periodic Totally Asymmetric Exclusion Process
    Prolhac, Sylvain
    JOURNAL OF STATISTICAL PHYSICS, 2015, 160 (04) : 926 - 964
  • [7] Asymptotics for the Norm of Bethe Eigenstates in the Periodic Totally Asymmetric Exclusion Process
    Sylvain Prolhac
    Journal of Statistical Physics, 2015, 160 : 926 - 964
  • [8] On asymmetric simple exclusion process with periodic step Bernoulli initial condition
    Tracy, Craig A.
    Widom, Harold
    JOURNAL OF MATHEMATICAL PHYSICS, 2011, 52 (02)
  • [9] EXACT SOLUTION OF THE TOTALLY ASYMMETRIC SIMPLE EXCLUSION PROCESS - SHOCK PROFILES
    DERRIDA, B
    JANOWSKY, SA
    LEBOWITZ, JL
    SPEER, ER
    JOURNAL OF STATISTICAL PHYSICS, 1993, 73 (5-6) : 813 - 842
  • [10] SHOCK FLUCTUATIONS IN THE 2-DIMENSIONAL ASYMMETRIC SIMPLE EXCLUSION PROCESS
    ALEXANDER, FJ
    CHENG, ZM
    JANOWSKY, SA
    LEBOWITZ, JL
    JOURNAL OF STATISTICAL PHYSICS, 1992, 68 (5-6) : 761 - 785