IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v20y2009i06ns0129183109014138.html
   My bibliography  Save this article

Asymmetric Exclusion Processes On Lattices With A Junction: The Effect Of Unequal Injection Rates

Author

Listed:
  • XIONG WANG

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

  • RUI JIANG

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China;
    Department of Aeronautics and Astronautics, School of Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • KATSUHIRO NISHINARI

    (Department of Aeronautics and Astronautics, School of Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • MAO-BIN HU

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

  • QING-SONG WU

    (School of Engineering Science, University of Science and Technology of China, Hefei 230026, China)

Abstract

Asymmetric exclusion processes (ASEP) on lattices with a junction, in which two or more parallel lattice branches combine into a single one, is important as a model for complex transport phenomena. This paper investigates the effect of unequal injection rates in ASEP with a junction. It is a generalization of the work of Pronina and Kolomeisky [J. Stat. Mech.P07010 (2005)], in which only equal injection rates are considered. It is shown that the unequal rates give rise to new phases and the phase diagram structure is qualitatively changed. The phase diagram and the density profiles are investigated by using Monte Carlo simulations, mean field approximation and domain wall approach. The analytical results are in good agreement with Monte Carlo simulations.

Suggested Citation

  • Xiong Wang & Rui Jiang & Katsuhiro Nishinari & Mao-Bin Hu & Qing-Song Wu, 2009. "Asymmetric Exclusion Processes On Lattices With A Junction: The Effect Of Unequal Injection Rates," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(06), pages 967-978.
    • Handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:06:n:s0129183109014138
    DOI: 10.1142/S0129183109014138
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183109014138
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183109014138?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:20:y:2009:i:06:n:s0129183109014138. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.