Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

doi:10.1088/1674-1056/ab820e

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 50505-050505.doi: 10.1088/1674-1056/ab820e

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

Bo Tian(田波), Ping Xia(夏萍), Li Liu(刘莉), Meng-Ran Wu(吴蒙然), Shu-Yong Guo(郭树勇)

1 School of Engineering, Anhui Agricultural University, Hefei 230036, China;
2 Anhui Province Engineering Laboratory of Intelligent Agricultural Machinery Equipment, Anhui Agricultural University, Hefei 230036, China

收稿日期:2020-01-30 修回日期:2020-03-03 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Bo Tian, Ping Xia E-mail:tianbo@ahau.edu.cn;xiaping@ahau.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11802003).

Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

Bo Tian(田波)^1,2, Ping Xia(夏萍)¹, Li Liu(刘莉)¹, Meng-Ran Wu(吴蒙然)¹, Shu-Yong Guo(郭树勇)^1,2

1 School of Engineering, Anhui Agricultural University, Hefei 230036, China;
2 Anhui Province Engineering Laboratory of Intelligent Agricultural Machinery Equipment, Anhui Agricultural University, Hefei 230036, China

Received:2020-01-30 Revised:2020-03-03 Online:2020-05-05 Published:2020-05-05
Contact: Bo Tian, Ping Xia E-mail:tianbo@ahau.edu.cn;xiaping@ahau.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11802003).

摘要/Abstract

摘要： We study two-lane totally asymmetric simple exclusion processes (TASEPs) with an intersection. Monte Carlo simulations show that only symmetric phases exist in the system. To verify the existence of asymmetric phases, we carry out a cluster mean-field analysis. Analytical results show that the densities of the two upstream segments of the intersection site are always equal, which indicates that the system is not in asymmetric phases. It demonstrates that the spontaneous symmetry breaking does not exist in the system. The density profiles and the boundaries of the symmetric phases are also investigated. We find that the cluster mean-field analysis shows better agreement with simulations than the simple mean-field analysis where the correlation of sites is ignored.

关键词: spontaneous symmetry breaking, cluster mean-field analysis, simple mean-field analysis, totally asymmetric simple exclusion process (TASEP)

Abstract: We study two-lane totally asymmetric simple exclusion processes (TASEPs) with an intersection. Monte Carlo simulations show that only symmetric phases exist in the system. To verify the existence of asymmetric phases, we carry out a cluster mean-field analysis. Analytical results show that the densities of the two upstream segments of the intersection site are always equal, which indicates that the system is not in asymmetric phases. It demonstrates that the spontaneous symmetry breaking does not exist in the system. The density profiles and the boundaries of the symmetric phases are also investigated. We find that the cluster mean-field analysis shows better agreement with simulations than the simple mean-field analysis where the correlation of sites is ignored.

Key words: spontaneous symmetry breaking, cluster mean-field analysis, simple mean-field analysis, totally asymmetric simple exclusion process (TASEP)

中图分类号: (Phase transitions: general studies)

05.70.Fh

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

田波, 夏萍, 刘莉, 吴蒙然, 郭树勇. Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection[J]. 中国物理B, 2020, 29(5): 50505-050505.

Bo Tian(田波), Ping Xia(夏萍), Li Liu(刘莉), Meng-Ran Wu(吴蒙然), Shu-Yong Guo(郭树勇). Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection[J]. Chin. Phys. B, 2020, 29(5): 50505-050505.

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Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

Existence of spontaneous symmetry breaking in two-lane totally asymmetric simple exclusion processes with an intersection

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