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Successive defects asymmetric simple exclusion processes with particles of arbitrary size
Authors:Cai Jiu-Ju  Xiao Song  Wang Ruo-Hui and Liu Fei
Affiliation:SEPA Key Laboratory on Eco-Industry, Northeastern University, Shenyang 110004, China; College of Science, Institute of Information Science and Technology, Massey University, Palmerston North, New Zealand
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.
Keywords:successive defects  asymmetric simple exclusion processes  arbitrary size  Monte Carlo simulation  mean-field theory
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