Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

doi:10.1088/1674-1056/26/2/020503

中国物理B ›› 2017, Vol. 26 ›› Issue (2): 20503-020503.doi: 10.1088/1674-1056/26/2/020503

Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

Bo Tian(田波), Rui Jiang(姜锐), Mao-Bin Hu(胡茂彬), Bin Jia(贾斌)

1 School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
2 School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China

收稿日期:2016-09-19 修回日期:2016-11-23 出版日期:2017-02-05 发布日期:2017-02-05
通讯作者: Rui Jiang, Mao-Bin Hu E-mail:jiangrui@bjtu.edu.cn;humaobin@ustc.edu.cn
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB725404) and the National Natural Science Foundation of China (Grant Nos. 11422221 and 11672289).

Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

Bo Tian(田波)¹, Rui Jiang(姜锐)², Mao-Bin Hu(胡茂彬)¹, Bin Jia(贾斌)²

1 School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
2 School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China

Received:2016-09-19 Revised:2016-11-23 Online:2017-02-05 Published:2017-02-05
Contact: Rui Jiang, Mao-Bin Hu E-mail:jiangrui@bjtu.edu.cn;humaobin@ustc.edu.cn
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB725404) and the National Natural Science Foundation of China (Grant Nos. 11422221 and 11672289).

摘要/Abstract

摘要：

As one of the paradigmatic models of non-equilibrium systems, the asymmetric simple exclusion process (ASEP) has been widely used to study many physical, chemical, and biological systems. The ASEP shows a range of nontrivial macroscopic phenomena, among which, the spontaneous symmetry breaking has gained a great deal of attention. Nevertheless, as a basic problem, it has been controversial whether there exist one or two symmetry-broken phases in the ASEP. Based on the mean field analysis and current minimization principle, this paper demonstrates that one of the broken-symmetry phases does not exist in a bidirectional two-lane ASEP with narrow entrances. Moreover, an exponential decay feature is observed, which has been used to predict the phase boundary in the thermodynamic limit. Our findings might be generalized to other ASEP models and thus deepen the understanding of the spontaneous symmetry breaking in non-equilibrium systems.

关键词: Spontaneous symmetry breaking, mean field analysis, ASEP

Abstract:

Key words: Spontaneous symmetry breaking, mean field analysis, ASEP

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

02.50.Ey (Stochastic processes) 05.60.Cd (Classical transport)

田波, 姜锐, 胡茂彬, 贾斌. Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances[J]. 中国物理B, 2017, 26(2): 20503-020503.

Bo Tian(田波), Rui Jiang(姜锐), Mao-Bin Hu(胡茂彬), Bin Jia(贾斌). Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances[J]. Chin. Phys. B, 2017, 26(2): 20503-020503.

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Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

Spurious symmetry-broken phase in a bidirectional two-lane ASEP with narrow entrances

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