中国物理B ›› 2009, Vol. 18 ›› Issue (11): 4613-4621.doi: 10.1088/1674-1056/18/11/003

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Zone inhomogeneity with the random asymmetric simple exclusion process in a one-lane system

蔡九菊1, 刘飞1, 肖松2   

  1. (1)SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China; (2)SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China;School of Engineering and Advanced Technology, Massey University, Palmerston North, New Zealand
  • 收稿日期:2009-03-28 修回日期:2009-04-24 出版日期:2009-11-20 发布日期:2009-11-20
  • 基金资助:
    Project supported by the State Key Program for Basic Research of China (Grant No 2005CB724206).

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)   

  1. 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
  • Received:2009-03-28 Revised:2009-04-24 Online:2009-11-20 Published:2009-11-20
  • Supported by:
    Project supported by the State Key Program for Basic Research of China (Grant No 2005CB724206).

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摘要： 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.

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.

Key words: zoned inhomogeneity, asymmetric simple exclusion process, one-lane system, computer simulation

中图分类号:  (Fluctuation phenomena, random processes, noise, and Brownian motion)

  • 05.40.-a
02.50.Cw (Probability theory) 05.50.+q (Lattice theory and statistics) 02.40.-k (Geometry, differential geometry, and topology)