中国物理B ›› 2009, Vol. 18 ›› Issue (12): 5097-5102.doi: 10.1088/1674-1056/18/12/001

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Successive defects asymmetric simple exclusion processes with particles of arbitrary size

王若翚1, 蔡九菊2, 肖松2, 刘飞2   

  1. (1)College of Science, Institute of Information Science and Technology, Massey University, Palmerston North, New Zealand; (2)SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China
  • 收稿日期:2009-04-26 修回日期:2009-05-26 出版日期:2009-12-20 发布日期:2009-12-20
  • 基金资助:
    Project supported by the National Key Fundamental Research and Development Project of China (Grant No 2005CB724206).

Successive defects asymmetric simple exclusion processes with particles of arbitrary size

Cai Jiu-Ju(蔡九菊)a),Xiao Song(肖松) a)†, Wang Ruo-Hui(王若翚)b), and Liu Fei(刘飞) a)   

  1. a SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China; b College of Science, Institute of Information Science and Technology, Massey University, Palmerston North, New Zealand
  • Received:2009-04-26 Revised:2009-05-26 Online:2009-12-20 Published:2009-12-20
  • Supported by:
    Project supported by the National Key Fundamental Research and Development Project of China (Grant No 2005CB724206).

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摘要： This paper uses various mean-field approaches and the Monte Carlo simulation to calculate asymmetric simple exclusion processes with particles of arbitrary size in the successive defects system. In this system, the hopping probability p (p<1) and the size d of particles are not constant. Through theoretical calculation and computer simulation, it obtains the exact theoretical results and finds that the theoretical results are in agreement with the computer simulation. These results are helpful in analysing the effect of traffic with different hopping probabilities p and sizes d of particle.

Abstract: This paper uses various mean-field approaches and the Monte Carlo simulation to calculate asymmetric simple exclusion processes with particles of arbitrary size in the successive defects system. In this system, the hopping probability p (p<1) and the size d of particles are not constant. Through theoretical calculation and computer simulation, it obtains the exact theoretical results and finds that the theoretical results are in agreement with the computer simulation. These results are helpful in analysing the effect of traffic with different hopping probabilities p and sizes d of particle.

Key words: successive defects, asymmetric simple exclusion processes, arbitrary size, Monte Carlo simulation, mean-field theory

中图分类号:  (Lattice theory and statistics)

  • 05.50.+q
02.50.Cw (Probability theory) 89.40.Bb (Land transportation)