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Local inhomogeneity in totally asymmetric simple exclusion processes with different hopping rates

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Abstract

Local inhomogeneity in totally asymmetric simple exclusion processes (TASEPs) with different hopping rates was studied. Many biological and chemical phenomena can be described by these non-equilibrium processes. A simple approximate theory and extensive Monte Carlo computer simulations were used to calculate the steady-state phase diagrams and bulk densities. It is found that the phase diagram for local inhomogeneity in TASEP with different hopping rates p is qualitatively similar to homogeneous models. Interestingly, there is a saturation point pair (α*, β*) for the system, which is decided by parameters p and q. There are three stationary phases in the system, when parameter p is fixed (i.e., p=0.8), with the increase of the parameter q, the region of LD/LD and HD/HD phase increases and the HD/LD is the only phase which the region shrinks. The analytical results are in good agreement with simulations.

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Authors and Affiliations

  1. Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming, 650093, China

    Song Xiao  (肖松), Shu-ying Wu  (吴淑英) & Dong-sheng Zheng  (郑东升)

  2. College of Nuclear Technology and Automation Engineering, Chengdu University of Technology, Chengdu, 610059, China

    Ming-zhe Liu  (刘明哲)

Authors
  1. Song Xiao  (肖松)
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  2. Shu-ying Wu  (吴淑英)
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  3. Dong-sheng Zheng  (郑东升)
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  4. Ming-zhe Liu  (刘明哲)
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Corresponding author

Correspondence to Shu-ying Wu  (吴淑英).

Additional information

Foundation item: Project(2011FZ050) supported by Applied Basic Research Program of Yunnan Provincial Science and Technology Department, China; Project(2011J084) supported by Master Program of Yunnan Province Education Department, China

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Xiao, S., Wu, Sy., Zheng, Ds. et al. Local inhomogeneity in totally asymmetric simple exclusion processes with different hopping rates. J. Cent. South Univ. 19, 3012–3016 (2012). https://doi.org/10.1007/s11771-012-1371-0

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  • DOI: https://doi.org/10.1007/s11771-012-1371-0

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