Asymmetric simple exclusion processes with complex lattice geometries: A review of models and phenomena
Liu Ming-Zhe (刘明哲)a, Li Shao-Da (李少达)b, Wang Rui-Lic
a State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China;
b College of Earth Science, Chengdu University of Technology, Chengdu 610059, China;
c School of Engineering and Advanced Technology, Massey University, Palmerston North, New Zealand
Abstract We summarize the findings of a large number of researches concerning the totally asymmetric simple exclusion process (TASEP) with complex lattice geometries. The TASEP has been recognized as a paradigm in modeling and analyzing non-equilibrium traffic systems. The paper surveys both the observed physical phenomena and several popular mean-field approaches used to analyze the extended TASEP models. Several interesting physical phenomena, such as phase separation, spontaneous symmetry breaking, and finite-size effect, have been identified and explained. The future investigations of the extended TASEP with complex lattice geometries are also introduced. This paper may help to obtain a better understanding of non-equilibrium systems.
Fund: Project supported by the State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, China (Grant No. 2011Z006) and the Chengdu University of Technology, China (Grant Nos. HY0084 and HG0092).
Corresponding Authors:
Li Shao-Da
E-mail: lisd@cdut.edu.cn
Cite this article:
Liu Ming-Zhe (刘明哲), Li Shao-Da (李少达), Wang Rui-Li Asymmetric simple exclusion processes with complex lattice geometries: A review of models and phenomena 2012 Chin. Phys. B 21 090510
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