Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

doi:10.1088/1674-1056/24/4/040504

›› 2015, Vol. 24 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/24/4/040504

Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

赵仕波^a, 刘明哲^{a b}, 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

收稿日期:2014-08-24 修回日期:2014-11-18 出版日期:2015-04-05 发布日期:2015-04-05
基金资助:
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.

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

Received:2014-08-24 Revised:2014-11-18 Online:2015-04-05 Published:2015-04-05
Contact: Liu Ming-Zhe E-mail:liumz@cdut.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: exclusion process, Monte Carlo simulation, random update, long-range hopping

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.

Key words: exclusion process, Monte Carlo simulation, random update, long-range hopping

中图分类号: (Nonequilibrium and irreversible thermodynamics)

05.70.Ln

02.50.Ey (Stochastic processes) 05.60.Cd (Classical transport)

赵仕波, 刘明哲, 杨兰英. Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process[J]. , 2015, 24(4): 40504-040504.

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[J]. Chin. Phys. B, 2015, 24(4): 40504-040504.

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Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

Simulation study on characteristics of long-range interaction in randomly asymmetric exclusion process

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