Weak and strong coupling in a two-lane asymmetric exclusion process

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 77, Issue 4, 2008, Pages

  Jiang, Rui ^a   Hu, Mao Bin ^a,b   Wu, Yong Hong ^b   Wu, Qing Song ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CURTIN UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY (SPECIFIC GRAVITY); NUMERICAL METHODS; PHASE DIAGRAMS; PHASE TRANSITIONS; PROBLEM SOLVING;

DISCONTINUOUS PHASE TRANSITION; EXCLUSION PROCESS; NUMERICAL INTEGRATION;

PARTICLE INTERACTIONS;

EID: 43049141930     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.041128     Document Type: Article

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31. Note that localized shock is also found in Ref. in a unidirectional model. However, the lane changing is symmetric in the model. The shock is induced due to unequal injection rates and removal rates.
32. We would like to mention that in the model in Ref., the total current J needs to be obtained iteratively in the HH phase and the LL phase. Moreover, J=α (1-α) -β (1-β) in HL, HS, and SL phases in Ref.. In Ref., analysis of the phase boundary between HH and HS as well as the phase boundary between SL and LL is more complicated. Similarly, as shown in the following text, analysis of the phase boundary between HL and HS as well as the phase boundary between SL and HL is more complicated in our model.