Dynamics in phase transitions of TASEP coupled with multi-lane SEPs

被引:43
作者
Wang, Yu-Qing [1 ,2 ]
Jiang, Rui [1 ]
Wu, Qing-Song [3 ]
机构
[1] Hefei Univ Technol, Sch Mech Engn, Hefei 230009, Peoples R China
[2] Beijing Jiaotong Univ, MOE Key Lab Urban Transportat Complex Syst Theory, Beijing 100044, Peoples R China
[3] Univ Sci & Technol China, Sch Engn Sci, Hefei 230026, Peoples R China
关键词
TASEP; Traffic flow; Dynamics in phase transitions; Numerical results; ASYMMETRIC EXCLUSION PROCESS; SYSTEMS; MODEL;
D O I
10.1007/s11071-017-3335-2
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, we study a traffic model constituted by totally asymmetric simple exclusion process (TASEP) and two-lane simple exclusion processes (SEP). Then we generalize it to study TASEP coupled with multiple SEP lanes. Numerical results by the mean-field approximation have been presented to show the dynamics of TASEP competing with multi-lane SEPs. Complemented by simulation results, numerical results show that phase diagrams and current diagrams qualitatively vary with current splitting parameter , hopping rate () and the global density n(p).
引用
收藏
页码:1631 / 1641
页数:11
相关论文
共 23 条
[1]  
[Anonymous], 2000, PHASE TRANSITIONS CR
[2]  
Ban S., 2009, COMPUTER SIMULATION
[3]   Nonequilibrium steady states of matrix-product form: a solver's guide [J].
Blythe, R. A. ;
Evans, M. R. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (46) :R333-R441
[4]  
Burden R.L., 2015, Numerical Analysis
[5]   Statistical physics of vehicular traffic and some related systems [J].
Chowdhury, D ;
Santen, L ;
Schadschneider, A .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (4-6) :199-329
[6]   An exactly soluble non-equilibrium system: The asymmetric simple exclusion process [J].
Derrida, B .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 301 (1-3) :65-83
[7]   Large deviation of the density profile in the steady state of the open symmetric simple exclusion process [J].
Derrida, B ;
Lebowitz, JL ;
Speer, ER .
JOURNAL OF STATISTICAL PHYSICS, 2002, 107 (3-4) :599-634
[8]  
Derrida B, 2007, J STAT MECH-THEORY E, V2007
[9]   Coupling of two asymmetric exclusion processes with open boundaries [J].
Gupta, Arvind Kumar ;
Dhiman, Isha .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (24) :6314-6329
[10]   Traffic and related self-driven many-particle systems [J].
Helbing, D .
REVIEWS OF MODERN PHYSICS, 2001, 73 (04) :1067-1141