IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v42y2004i3p415-422.html
   My bibliography  Save this article

Solvable multi-species reaction-diffusion processes, including the extended drop-push model

Author

Listed:
  • M. Alimohammadi

Abstract

By considering the master equation of asymmetric exclusion process on a one-dimensional lattice, we obtain the most general boundary condition of the multi-species exclusion processes in which the number of particles is constant in time. This boundary condition introduces the various interactions to the particles, including ones which have been studied yet and the new ones. In these new models, the particles have simultaneously diffusion, the two-particle interactions $A_\alpha A_\beta\rightarrow A_\gamma A_\delta$ , and the n-particle extended drop-push interaction. The constraints on reaction rates are obtained and in two-species case, they are solved to obtain a solvable model. The conditional probabilities of this model are calculated. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • M. Alimohammadi, 2004. "Solvable multi-species reaction-diffusion processes, including the extended drop-push model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 42(3), pages 415-422, December.
    • Handle: RePEc:spr:eurphb:v:42:y:2004:i:3:p:415-422
    DOI: 10.1140/epjb/e2004-00398-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1140/epjb/e2004-00398-y
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1140/epjb/e2004-00398-y?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 search for a different version of it.

    More about this item

    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:spr:eurphb:v:42:y:2004:i:3:p:415-422. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.