|
|
|
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.
|
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
|
| [1] |
Schütz G M 2000 Phys. Rep. 329 199
|
| [2] |
MacDonald J T, Gibbs J H and Pipkin A C 1968 Biopolymers. 6 1
|
| [3] |
Chou T and Lakatos G 2004 Phys. Rev. Lett. 93 198101
|
| [4] |
Schütz G M 2004 Europhys. Lett. 48 623
|
| [5] |
Widom B, Viovy J L and Defontaines A D 1991 J. Phys. I France 1 1759
|
| [6] |
Chou T 1998 Phys. Rev. Lett. 80 85
|
| [7] |
Chowdhury D, Santen L and Schadschneider A 2000 Phys. Rep. 329 199
|
| [8] |
Helbing D 2001 Rev. Mod. Phys. 73 1067
|
| [9] |
Arita C, Foulaadvand M E and Santen L 2017 Phys. Rev. E 95 032108
|
| [10] |
Xiao S, Cai J J and Liu F 2009 Chin. Phys. B. 18 4613
|
| [11] |
Xiao S, Cai J J, Liu F and Liu M Z 2010 Chin. Phys. B. 19 090202
|
| [12] |
Liu M Z, Li S D and Wang R L 2012 Chin. Phys. B. 21 090510.
|
| [13] |
Liu M Z, Li S D and Wang R L 2012 Comput. Phys. Commun. 183 316
|
| [14] |
Pronina E and Kolomeisky A B 2005 J. Stat. Mech. 07 P07010
|
| [15] |
Verma A K, Sharma N and Gupta A K 2018 Phys. Rev. E 97 022105
|
| [16] |
Sun Z H, Jiang R, Hu M B and Wu Q S 2010 Phys. Lett. A 374 4080.
|
| [17] |
Du H F, Yuan Y M, Hu M B, Wang R, Jiang R and Wu Q S 2010 J. Stat. Mech. 03 P03014
|
| [18] |
Yuan Y M, Jiang R, Wang R, Wu Q S and Zhang J Q 2008 J. Phys. A: Math. Gen. 41 035003.
|
| [19] |
Evans M R, Foster D P, Godreche C and Mukamel D 1995 Phys. Rev. Lett. 74 208
|
| [20] |
Sharma N and Guptal A K 2017 J. Stat. Mech. 2017 043211
|
| [21] |
Pronina E and Kolomeisky A B 2007 J. Phys. A: Math. Gen. 40 2275
|
| [22] |
Tian B, Jiang R, Hu M B and Jia B 2017 Chin. Phys. B. 26 020503
|
| [23] |
Tian B, Jiang R, Li M and Hu M B 2017 Europhys. Lett. 117 40003
|
| [24] |
Tian B, Jiang R, Hu M B, Ding Z J and Jia B 2020 Physica A 541 123542
|
| [25] |
Tian B, Jiang R, Hu M B, Ding Z J and Jia B 2020 Europhys. Lett. 128 40005
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
