Effect of unequal injection rates on asymmetric exclusion processes with junction

doi:10.1088/1674-1056/20/6/060509

Abstract In this paper, we investigate the effect of unequal injection rates on totally asymmetric simple exclusion processes (TASEPs) with a 2-input 1-output junction and parallel update. A mean-field approach is developed to deal with the junction that connects two sub-chains and the single main chain. We obtain the stationary particle currents, density profiles and phase diagrams. Interestingly, we find that the number of stationary-state phases is changeable depending on the value of $\alpha_1$ ($\alpha_1$ is the injection rate on the first sub-chain). When $\alpha_1$ > 1/3, there are seven stationary-state phases in the system, however when $\alpha_1$ < 1/3, only six stationary-state phases exist in the system. The theoretical calculations are shown to be in agreement with Monte Carlo simulations.

Keywords: totally asymmetric simple exclusion process mean-field approach Monte Carlo simulations junction

Received: 04 March 2010
Revised: 13 December 2010
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 Scientiˉc and Technological Support Project of China (Grant No. 2006BAE 03A 00).

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Xiao Song(肖松), Liu Ming-Zhe(刘明哲), Wang Jian-Jun(王建军), and Wang Hua(王华) Effect of unequal injection rates on asymmetric exclusion processes with junction 2011 Chin. Phys. B 20 060509

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Effect of unequal injection rates on asymmetric exclusion processes with junction

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