Please wait a minute...
Chin. Phys. B, 2017, Vol. 26(2): 020503    DOI: 10.1088/1674-1056/26/2/020503
GENERAL Prev   Next  

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
Abstract  

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.

Keywords:  Spontaneous symmetry breaking      mean field analysis      ASEP  
Received:  19 September 2016      Revised:  23 November 2016      Accepted manuscript online: 
PACS:  05.70.Ln (Nonequilibrium and irreversible thermodynamics)  
  02.50.Ey (Stochastic processes)  
  05.60.Cd (Classical transport)  
Fund: 

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).

Corresponding Authors:  Rui Jiang, Mao-Bin Hu     E-mail:  jiangrui@bjtu.edu.cn;humaobin@ustc.edu.cn

Cite this article: 

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 2017 Chin. Phys. B 26 020503

[1] Schmittmann B and Zia R K P 1998 Phys. Rep. 301 45
[2] Derrida B 1998 Phys. Rep. 301 65
[3] Schütz G M 2000 "Exactly solvable models for many-body systems far from equilibrium", in Phase Transitions and Critical Phenomena, Vol. 19, eds. by Domb C and Lebowitz J (London: Academic Press, UK)
[4] Blythe R A and Evans MR 2007 J. Phys. A: Math. Theor. 40 R333
[5] Chou T, Mallick K and Zia R K P 2011 Rep. Prog. Phys. 74 116601
[6] MacDonald C T, Gibbs J H and Pipkin A C 1968 Biopolymers 6 1
[7] Widom B, Viovy J L and Defontaines A D 1991 J. Phys. I France 1 1759
[8] Shaw L B, Zia R K P and Lee KH 2003 Phys. Rev. E 68 021910
[9] Shaw L B, Kolomeisky A B and Lee K H 2004 J. Phys. A: Math. Gen. 37 2105
[10] Chou T and Lakatos G 2004 Phys. Rev. Lett. 93 198101
[11] Parmeggiani A Franosch T and Frey E 2003 Phys. Rev. Lett. 90 086601
[12] Parmeggiani A Franosch T and Frey E 2004 Phys. Rev. E 70 046101
[13] Neri I, Kern N and Parmeggiani A 2013 Phys. Rev. Lett. 110 098102
[14] Teimouri H, Kolomeisky A B and Mehrabiani K 2015 J. Phys. A: Math. Theor. 48 065001
[15] Pinkoviezky I and Gov N S 2013 New J. Phys. 15 025009
[16] Dierl M, Maass P and Einax M 2012 Phys. Rev. Lett. 108 060603
[17] Schütz G 1999 Europhys. Lett. 48 623
[18] Chou T 1998 Phys. Rev. Lett. 80 85
[19] Meakin P, Ramanlal P, Sander L M and Ball R C 1986 Phys. Rev. A 34 5091
[20] Kim J M and Kosterlitz J M 1989 Phys. Rev. Lett. 62 2289
[21] Ritort F and Sollich P 2003 Adv. Phys. 52 219
[22] Hao Q Y, Jiang R, Hu M B, Jia B and Wang W X 2016 Sci. Rep. 6 19652
[23] Chowdhury D Santen L and Schadschneider A 2000 Phys. Rep. 329 199
[24] Schreckenberg M, Schadschneider A, Nagel K and Ito N 1995 Phys. Rev. E 51 2939
[25] Xiao S, Cai J J and Liu F 2009 Chin. Phys. B. 18 4613
[26] Xiao S, Cai J J, Liu F and Liu M Z 2010 Chin. Phys. B 19 090202
[27] Liu M Z, Li S D and Wang R L 2012 Chin. Phys. B 21 090510
[28] Liu M Z, Tuo X G Li Z, Yang J B and Gao Y 2012 Comput. Phys. Commun. 183 316
[29] Yang Z Y, Yang W L, Cui S, et al. 2015 Chin. Phys. Lett. 32 50503
[30] Evans M R, Foster D P, Godreche C and Mukamel D 1995 Phys. Rev. Lett. 74 208
[31] Evans M R, Foster D P, Godreche C and Mukamel D 1995 J. Stat. Phys. 80 69
[32] Erickson D W, Pruessner G, Schmittmann B and Zia R 2005 J. Phys. A: Math. Gen. 38 L659
[33] Pronina E and Kolomeisky A B 2007 J. Phys. A: Math. Gen. 40 2275
[34] Yuan Y M, Jiang R, Wang R, Wu Q S and Zhang J Q 2008 J. Phys. A: Math. Theor. 41 035003
[35] Zhu K X, Wang N, Hao Q Y, Liu Y Q and Jiang R 2012 Phys. Rev. E 85 041132
[36] Gupta S, Mukamel D and Schütz G M 2009 J. Phys. A: Math. Theor. 42 485002
[37] Popkov V and Schütz G M 2004 J. Stat. Mech. P12004
[38] Popkov V, Evans M R, and Mukamel D 2008 J. Phys. A: Math. Theor. 41 432002
[39] Willmann R D, Schütz G M and Grosskinsky S 2005 Europhys. Lett. 71 542
[40] Sun Z H, Jiang R, Hu M B and Wu Q S 2010 Phys. Lett. A 374 4080
[41] Wang R, Kolomeisky A B and Liu M 2011 Phys. Lett. A 375 318
[42] Arndt P F, Heinzel T and Rittenberg V 1998 J. Stat. Phys. 90 783
[43] Krug J 1991 Phys. Rev. Lett. 67 1882
[44] Popkov V and Schütz GM 1999 Europhys. Lett. 48 257
[45] Kolomeisky A B, Schütz G M, Kolomeisky E B and Straley J P 1998 J. Phys. A: Math. Gen. 31 6911
[46] Wang Y Q, Jiang R, Kolomeisky A B and Hu M B 2014 Sci. Rep. 4 5459
[47] Evans M, Kafri Y, Koduvely H and Mukamel D 1998 Phys. Rev. Lett. 80 425
[48] Kafri Y, Levine E, Mukamel D, Schütz G and Török J 2002 Phys. Rev. Lett. 89 035702
[49] Rajewsky N, Sasamoto T and Speer E 2000 Physica A 279 123
[50] Jiang R, Nishinari K, Hu M B, Wu Y H and Wu Q S 2009 J. Stat. Phys. 136 73
[51] Concannon R J and Blythe R A 2014 Phys. Rev. Lett. 112 050603
[52] Jiang R Hu M B, Wu Y H and Wu Q S 2008 Phys. Rev. E 77 041128
[53] Jiang R, Huang W, Hu M B, Yuan Y M and Wu Q S 2011 Phys. Rev. Lett. 106 079601
[1] High-throughput computational material screening of the cycloalkane-based two-dimensional Dion—Jacobson halide perovskites for optoelectronics
Guoqi Zhao(赵国琪), Jiahao Xie(颉家豪), Kun Zhou(周琨), Bangyu Xing(邢邦昱), Xinjiang Wang(王新江), Fuyu Tian(田伏钰), Xin He(贺欣), and Lijun Zhang(张立军). Chin. Phys. B, 2022, 31(3): 037104.
[2] 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). Chin. Phys. B, 2020, 29(5): 050505.
[3] Asymmetric simple exclusion processes with complex lattice geometries: A review of models and phenomena
Liu Ming-Zhe (刘明哲), Li Shao-Da (李少达), Wang Rui-Li. Chin. Phys. B, 2012, 21(9): 090510.
[4] Spontaneous symmetry breaking vacuum energy in cosmology
Zhou Kang(周康), Yue Rui-Hong(岳瑞宏), Yang Zhan-Ying(杨战营), and Zou De-Cheng(邹德成) . Chin. Phys. B, 2012, 21(7): 079801.
[5] Spontaneous symmetry breaking of a Bose–Fermi mixture in a two-dimensional double-well potential
Wang Yuan-Sheng(王元生), Yan Pei-Gen(颜培根), Li Bin(李彬), and Liu Xue-Shen(刘学深) . Chin. Phys. B, 2012, 21(1): 010309.
[6] Theoretical investigation of synchronous totally asymmetric simple exclusion process on lattices with two consecutive junctions in multiple-input-multiple-output traffic system
Xiao Song(肖松),Cai Jiu-Ju(蔡九菊), Wang Rui-Li(王瑞利), Liu Ming-Zhe(刘明哲), and Liu Fei(刘飞) . Chin. Phys. B, 2009, 18(12): 5103-5110.
No Suggested Reading articles found!