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The effect of single on-ramp with constrained resources on the density of asymmetric simple exclusion processes

Author

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  • Liu, Yanna
  • Xiao, Wencan
  • Dong, Peng
  • Zhang, Yingjie
  • Xiao, Song

Abstract

In this letter, we study the effect of single on-ramp with constrained resources on the density of asymmetric simple exclusion processes (ASEPs) by theoretical analysis and extensive computer simulations. Here, the on-ramp reservoirs and the system must share a finite supply of particles. It is found that the average particle density of the system can be expressed as a function of the on-ramp rate and the total number of particles. The result shows that the availability of particles becomes a rate-limiting factor for transport problems.

Suggested Citation

  • Liu, Yanna & Xiao, Wencan & Dong, Peng & Zhang, Yingjie & Xiao, Song, 2016. "The effect of single on-ramp with constrained resources on the density of asymmetric simple exclusion processes," Renewable and Sustainable Energy Reviews, Elsevier, vol. 62(C), pages 815-820.
  • Handle: RePEc:eee:rensus:v:62:y:2016:i:c:p:815-820
    DOI: 10.1016/j.rser.2016.05.038
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    References listed on IDEAS

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    1. Huang, Ding-wei, 2007. "Phase diagram of a traffic roundabout," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 603-612.
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