ASYMMETRIC EXCLUSION PROCESS WITH CONSTRAINED HOPPING AND PARALLEL DYNAMICS AT A JUNCTION

被引：23

作者：

Liu, Mingzhe ^{[1
,2
]}

Tuo, Xianguo ^{[1
,3
]}

Li, Zhe ^{[1
]}

Yang, Jianbo ^{[1
]}

机构：

[1] Chengdu Univ Technol, Coll Nucl Technol & Automat Engn, Chengdu 610059, Peoples R China

[2] Nanjing Univ, State Key Lab Novel Software Technol, Nanjing 210093, Peoples R China

[3] State Key Lab Geohazard Prevent & Geoenvironm Pro, Chengdu 610059, Peoples R China

来源：

MODERN PHYSICS LETTERS B | 2011年 / 25卷 / 25期

关键词：

Asymmetric exclusion process; junction; traffic flow; Monte Carlo simulations; mean-field approximation; SYSTEM; MODEL;

D O I：

10.1142/S0217984911027339

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this article totally asymmetric simple exclusion process (TASEP) with constrained hopping and parallel dynamics at a junction is investigated using a mean-field approximation and Monte Carlo simulations. The constrained particle hopping probability r (r <= 1) at a junction may correspond to a delay caused by a driver choosing the right direction or a delay waiting for green traffic light in the real world. There are six stationary phases in the system, which can reflect free flow and congested traffic situations. Correlations at the junction point are investigated via simulations. It is observed that small r leads to stronger correlations. The theoretical results are agreement with computer simulations well.

引用

页码：2011 / 2020

页数：10

共 26 条

[1] The effect of attachment and detachment on totally asymmetric exclusion processes with junctions [J].

Cai, Zhong-Pan ;

Yuan, Yao-Ming ;

Jiang, Rui ;

Nishinari, Katsuhiro ;

Wu, Qing-Song .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,

[2] 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

[3] Exact stationary state for an asymmetric exclusion process with fully parallel dynamics [J].

de Gier, J ;

Nienhuis, B .

PHYSICAL REVIEW E, 1999, 59 (05) :4899-4911

[4] 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

[5] EXACT SOLUTION OF A 1D ASYMMETRIC EXCLUSION MODEL USING A MATRIX FORMULATION [J].

DERRIDA, B ;

EVANS, MR ;

HAKIM, V ;

PASQUIER, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07) :1493-1517

[6] Inhomogeneous exclusion processes with extended objects: The effect of defect locations [J].

Dong, J. J. ;

Schmittmann, B. ;

Zia, R. K. P. .

PHYSICAL REVIEW E, 2007, 76 (05)

[7] An exclusion process for modelling fungal hyphal growth [J].

Evans, M. R. ;

Sugden, K. E. P. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 384 (01) :53-58

[8] SPONTANEOUS SYMMETRY-BREAKING IN A ONE-DIMENSIONAL DRIVEN DIFFUSIVE SYSTEM [J].

EVANS, MR ;

FOSTER, DP ;

GODRECHE, C ;

MUKAMEL, D .

PHYSICAL REVIEW LETTERS, 1995, 74 (02) :208-211

[9] Characteristics of the asymmetric simple exclusion process in the presence of quenched spatial disorder [J].

Foulaadvand, M. Ebrahim ;

Chaaboki, Sanaz ;

Saalehi, Modjtaba .

PHYSICAL REVIEW E, 2007, 75 (01)

[10] Asymmetric exclusion processes with disorder: Effect of correlations [J].

Foulaadvand, M. Ebrahim ;

Kolomeisky, Anatoly B. ;

Teymouri, H. .

PHYSICAL REVIEW E, 2008, 78 (06)

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