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Chin. Phys. B, 2020, Vol. 29(5): 050505    DOI: 10.1088/1674-1056/ab820e
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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
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.
Keywords:  spontaneous symmetry breaking      cluster mean-field analysis      simple mean-field analysis      totally asymmetric simple exclusion process (TASEP)  
Received:  30 January 2020      Revised:  03 March 2020      Accepted manuscript online: 
PACS:  05.70.Fh (Phase transitions: general studies)  
  02.50.Ey (Stochastic processes)  
  05.60.Cd (Classical transport)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11802003).
Corresponding Authors:  Bo Tian, Ping Xia     E-mail:  tianbo@ahau.edu.cn;xiaping@ahau.edu.cn

Cite this article: 

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 2020 Chin. Phys. B 29 050505

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