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Recent developments in totally asymmetric simple exclusion processes with local inhomogeneity

  • MingZhe LiuEmail author
  • XianGuo TuoEmail author
  • RuiLi Wang
  • Rui Jiang
Open Access
Review Statistical Physics

Abstract

A totally asymmetric simple exclusion process (TASEP) has become an essential tool in modeling and analyzing non-equilibrium systems. A wide variety of TASEP models have been developed that are motivated by real-world traffic, biological transport and by the dynamics of the process itself. This paper provides an overview of recent developments in TASEP with inhomogeneity. Some important generalizations and extensions of inhomogeneous TASEP models are reviewed, and several popular mean-field techniques used to analyze the inhomogeneous TASEP models are summarized. A comparison between similar TASEP models under different updating procedures is given. Phase separations in such disordered systems have been identified. The present status of the inhomogeneous TASEP models and areas for future investigations are also described.

Keywords

totally asymmetric simple exclusion process inhomogeneity mean-field theory Monte Carlo simulations 

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Copyright information

© The Author(s) 2011

Open Access This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

Authors and Affiliations

  1. 1.College of Nuclear Technology and Automation EngineeringChengdu University of TechnologyChengduChina
  2. 2.State Key Laboratory of Geohazard Prevention and Geoenvironment ProtectionChengdu University of TechnologyChengduChina
  3. 3.School of Engineering and Advanced TechnologyMassey UniversityPalmerston NorthNew Zealand
  4. 4.School of Engineering ScienceUniversity of Science and Technology of ChinaHefeiChina

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