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Journal of Research in Physics

The Journal of University of Novi Sad

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Synchronous totally asymmetric exclusion process with a dual-input-single-output junction

Song Xiao
  • Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China
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  • De Gruyter OnlineGoogle Scholar
/ Shuying Wu
  • Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Dongsheng Zheng
  • Faculty of Metallurgical and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, China
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2012-05-22 | DOI: https://doi.org/10.2478/v10242-012-0007-x

Synchronous totally asymmetric exclusion process with a dual-input-single-output junction

In this paper, the dynamics of the synchronous totally asymmetric exclusion process (TASEP) with a two-input-single-output (TISO) junction was investigated, which consists of two subchains for the input and one main chain for the output. A TISO junction is a type of complex geometry that is relevant to vehicular and pedestrian traffic flow. A mean-field approach is developed to deal with the junction that connects the subchains and the main chain. Theoretical results for stationary particle currents, density profiles, and a phase diagram have been obtained. It was found that the region of the HD/HD phase increases in the phase diagram with an increase of the hopping rates of subchains. The density profiles obtained from computer simulations show very good agreement with our theoretical analysis.

Keywords: TASEP; synchronous; Monte Carlo simulations; junction

  • B. Widom, J. L. Viovy and A. D. Defontaines, J. Phys. I 1, 1759 (1991).Google Scholar

  • R. Lipowsky, S. Klumpp and T. M. Nieuwenhuizen, Phys. Rev. Lett. 87, 108101 (2001).;Google Scholar

  • S. Klumpp and R. Lipowsky, J. Stat. Phys. 113, 233 (2003).;Google Scholar

  • A. Parmeggiani, T. Franosch and E. Frey, Phys. Rev. Lett. 90, 086601 (2003).;Google Scholar

  • K. Nishinari et al., Phys. Rev. Lett. 95, 118101 (2005).Google Scholar

  • L. B. Shaw, R. K. P. Zia and K. H. Lee, Phys. Rev. E 68, 021910 (2003).Google Scholar

  • D. Chowdhury, L. Santen and A. Schadschneider, Phys. Rep. 329, 199 (2000).Google Scholar

  • D. Helbing, Rev. Mod. Phys. 73, 1067 (2001).Google Scholar

  • A. Schadschneider, Eur. Phys. J. B 10, 573 (1999).Google Scholar

  • G. Schfitz and E. Domany, J. Stat. Phys. 72, 277 (1993).Google Scholar

  • M. R. Evans, N. Rajewsky and E. R. Speer, J. Stat. Phys. 95, 45 (1999).Google Scholar

  • J. de Gier and B. Nienhuis, Phys. Rev. E 59, 4899 (1999).Google Scholar

  • N. Rajewsky, L. Santen, A. Schadschneider and M. Schreckenberg, J. Stat. Phys. 92, 151 (1998).Google Scholar

  • Z. P. Cai, Y. M. Yuan, R. Jiang et al., J. Stat. Mech. P07016 (2008).Google Scholar

  • V. Popkov and I. Peschel, J. Phys. A 33, 3989 2000; H. W. Lee, V. Popkov and D. Kim, J. Phys. A 30, 8497 (1997).; M. E. Fouladvand and H. W. Lee, Phys. Rev. E 60, 6465 (1999).; R. Juhász, Phys. Rev. E 76, 021117 (2007).Google Scholar

  • E. Pronina and A. B. Kolomeisky, Physica A 372, 12-21 (2006).Google Scholar

  • E. Pronina and A. B. Kolomeisky, J. Phys. A: Math. Gen. 37, 9907-9918 (2004).Google Scholar

  • K. Tsekouras and A. B. Kolomeisky, J. Phys. A: Math. Theor. 41, 095002 (2008).Google Scholar

  • Song Xiao, Liqiong Tang and Hua Wang, Cent. Eur. J. Phys. 9(4), 1077-1083 (2011).Google Scholar

  • Song Xiao, Mingzhe Liu, Jiu-ju Cai, Physics Letters A 374, 8-12 (2009).Google Scholar

  • Qi-Hong Shi, Rui Jiang, Mao-Bin Hu, Qing-Song Wu, J Stat Phys 142, 616-626 (2011).Google Scholar

  • E. Pronina and A. B. Kolomeisky, J. Stat. Mech. P07010 (2005).Google Scholar

  • R. Wang, M. Liu and R. Jiang, Phys. Rev. E 77, 051108 (2008).Google Scholar

  • X. Wang, R. Jiang, K. Nishinari, M. B. Hu, Q. S. Wu, International Journal of Modern Physics C 20(6), 967-978 (2009).Google Scholar

  • Song Xiao, Jiu-Ju Cai, Fei Liu and Ming-Zhe Liu, Chinese Phys. B 19, 090202 (2010).Google Scholar

  • Song Xiao, Ming-Zhe Liu, Jian-Jun Wang and Hua Wang, Chinese Phys. B 20, 060509 (2011).Google Scholar

  • J. Gier and B. Nienhuis, Phys. Rev. E 59, 4899 (1999).Google Scholar

  • N. Rajewsky, L. Santen, A. Schadschneider and M. Schreckenberg, J. Stat. Phys. 92, 151 (1998).Google Scholar

About the article


Published Online: 2012-05-22

Published in Print: 2011-01-01


Citation Information: Journal of Research in Physics, ISSN (Print) 1450-7404, DOI: https://doi.org/10.2478/v10242-012-0007-x.

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