Weakening interaction suppresses spontaneous symmetry breaking in two-channel asymmetric exclusion processes

Kai-Xuan Zhu, Nian Wang, Qing-Yi Hao, Qi-Yi Liu, and Rui Jiang
Phys. Rev. E 85, 041132 – Published 23 April 2012

Abstract

This paper has studied spontaneous symmetry breaking (SSB) phenomenon in two types of two-channel asymmetric simple exclusion processes (ASEPs). One common feature of the two systems is that interactions for each species of particle happen at only one site, and the system reduces to two independent ASEPs when interaction vanishes. It is shown that with the weakening of interaction, the SSB is suppressed. More interestingly, the SSB disappears before the interaction is eliminated. Our work thus indicates that local interaction has to be strong enough to produce SSB. The mean-field analysis has been carried out, and the results are consistent with the simulation ones.

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  • Received 22 July 2011

DOI:https://doi.org/10.1103/PhysRevE.85.041132

©2012 American Physical Society

Authors & Affiliations

Kai-Xuan Zhu1, Nian Wang1,*, Qing-Yi Hao2,3, Qi-Yi Liu2, and Rui Jiang2,†

  • 1Key Laboratory of Intelligent Computing and Signal Processing of Education Ministry, Anhui University, Hefei 230039, China
  • 2School of Engineering Science, University of Science and Technology of China, Hefei 230026, China
  • 3School of Mathematics and Computational Science, Anqing Teachers College, Anqing 246133, China

  • *wn_xlb@ahu.edu.cn
  • rjiang@ustc.edu.cn

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Vol. 85, Iss. 4 — April 2012

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