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Chin. Phys. B, 2015, Vol. 24(4): 040504    DOI: 10.1088/1674-1056/24/4/040504
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Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

Zhao Shi-Bo (赵仕波)a, Liu Ming-Zhe (刘明哲)a b, Yang Lan-Ying (杨兰英)b
a State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (Chengdu University of Technology), Chengdu 610059, China;
b College of Nuclear Technology and Automation Engineering, Chengdu University of Technology, Chengdu 610059, China
Abstract  In this paper we investigate the dynamics of an asymmetric exclusion process on a one-dimensional lattice with long-range hopping and random update via Monte Carlo simulations theoretically. Particles in the model will firstly try to hop over successive unoccupied sites with a probability q, which is different from previous exclusion process models. The probability q may represent the random access of particles. Numerical simulations for stationary particle currents, density profiles, and phase diagrams are obtained. There are three possible stationary phases: the low density (LD) phase, high density (HD) phase, and maximal current (MC) in the system, respectively. Interestingly, bulk density in the LD phase tends to zero, while the MC phase is governed by α, β, and q. The HD phase is nearly the same as the normal TASEP, determined by exit rate β. Theoretical analysis is in good agreement with simulation results. The proposed model may provide a better understanding of random interaction dynamics in complex systems.
Keywords:  exclusion process      Monte Carlo simulation      random update      long-range hopping  
Received:  24 August 2014      Revised:  18 November 2014      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 Natural Science Foundation of China (Grant Nos. 41274109 and 11104022), the Fund for Sichuan Youth Science and Technology Innovation Research Team (Grant No. 2011JTD0013), and the Creative Team Program of Chengdu University of Technology.
Corresponding Authors:  Liu Ming-Zhe     E-mail:  liumz@cdut.edu.cn

Cite this article: 

Zhao Shi-Bo (赵仕波), Liu Ming-Zhe (刘明哲), Yang Lan-Ying (杨兰英) Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process 2015 Chin. Phys. B 24 040504

[1] MacDonald J T, Gibbs J H and Pipkin A C 1968 Biopolymers 6 1
[2] Helbing D 2001 Rev. Mod. Phys. 73 1067
[3] Mallick K 2015 Phasica A: Statistical Mechanics and Its Applications 418 17
[4] Widom B, Viovy J L and Defontaines A D 1991 J. Phys. I 1 1759
[5] Schütz G M 1997 Int. J. Mod. Phys. B 11 197
[6] Shaw L B, Zia R K P and Lee K H 2003 Phys. Rev. E 68 021910
[7] Chou T 2003 Biophys. J. 85 755
[8] Klumpp S and Lipowsky R 2003 J. Stat. Phys. 113 233
[9] Klein G A, Kruse K and Cuniberti G 2005 Phys. Rev. Lett. 94 108102
[10] Cheng R J, Han X L, Lo S M and Ge H X 2014 Chin. Phys. B 23 030507
[11] Chowdhury D, Schadschneider A and Nishinari K 2005 Phys. Life. Rev. 2 318
[12] Szavits-Nossan J and Uzelac K 2008 Phys. Rev. E 77 051116
[13] Kolomeisky A B and Uppulury K 2011 J. Stat. Phys. 142 1268
[14] Liu M Z, Tuo X G, Li Z, Yang J B and Gao Y 2012 Comput. Phys. Commun. 183 316
[15] Tsekouras K and Kolomeisky A B 2008 J. Phys. A: Math. Theor. 41 095002
[16] Yuan Y M, Jiang R, Wang R L, Hu M B and Wu Q S 2007 J. Phys. A: Math. Theor. 40 12351
[17] Zhao B H, Hu M B, Jiang R and Wu Q S 2009 Chin. Phys. Lett. 26 120502
[18] Patrik L F and Herbert S 2006 Commun. Math. Phys. 265 1
[19] Klumpp S and Lipowsky R 2003 J. Stat. Phys. 113 233
[20] Liu Z M, Sun Q C and Song S X 2014 Acta Phys. Sin. 63 034702 (in Chinese)
[21] Wang R, Liu M Z and Jiang R 2008 Phys. Rev. E 77 051108
[22] Jiang R, Hu M B, Jia B, Wang R and Wu Q S 2007 Phys. Rev. E 76 036116
[23] Liu M Z, Li S D and Wang R L 2012 Chin. Phys. B 21 090510
[24] Wang W H, Cheng X T and Liang X G 2013 Chin. Phys. B 22 110506
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