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

作　　者：Bo Tian Rui Jiang Mao-Bin Hu Bin Jia 田波;姜锐;胡茂彬;贾斌(School of Engineering Science,University of Science and Technology of China;School of Traffic and Transportation,Beijing Jiaotong University)

机构地区：[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

出　　处：《Chinese Physics B》2017年第2期93-98,共6页中国物理B（英文版）

基　　金：Project supported by the National Basic Research Program of China(Grant No.2012CB725404);the National Natural Science Foundation of China(Grant Nos.11422221 and 11672289)

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.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 

分 类 号：O414.2[理学—理论物理]