Zone inhomogeneity with the random asymmetric simple exclusion process in a one-lane system
Xiao Song(肖松)a)b)†, Cai Jiu-Ju(蔡九菊) a), and Liu Fei(刘飞)a)
a SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China; b School of Engineering and Advanced Technology, Massey University, Palmerston North, New Zealand
Abstract In this paper we use theoretical analysis and extensive simulations to study zone inhomogeneity with the random asymmetric simple exclusion process (ASEP). In the inhomogeneous zone, the hopping probability is less than 1. Two typical lattice geometries are investigated here. In case A, the lattice includes two equal segments. The hopping probability in the left segment is equal to 1, and in the right segment it is equal to p, which is less than 1. In case B, there are three equal segments in the system; the hopping probabilities in the left and right segments are equal to 1, and in the middle segment it is equal to p, which is less than 1. Through theoretical analysis, we can discover the effect on these systems when p is changed.
Received: 28 March 2009
Revised: 24 April 2009
Accepted manuscript online:
PACS:
05.40.-a
(Fluctuation phenomena, random processes, noise, and Brownian motion)
Fund: Project supported by the State Key
Program for Basic Research of China (Grant No 2005CB724206).
Cite this article:
Xiao Song(肖松), Cai Jiu-Ju(蔡九菊), and Liu Fei(刘飞) Zone inhomogeneity with the random asymmetric simple exclusion process in a one-lane system 2009 Chin. Phys. B 18 4613
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