IDEAS home Printed from https://ideas.repec.org/a/eee/spapps/v127y2017i1p135-178.html
   My bibliography  Save this article

A boundary driven generalized contact process with exchange of particles: Hydrodynamics in infinite volume

Author

Listed:
  • Kuoch, Kevin
  • Mourragui, Mustapha
  • Saada, Ellen

Abstract

We consider a two species process which evolves in a finite or infinite domain in contact with particle reservoirs at different densities, according to the superposition of a generalized contact process and a rapid-stirring dynamics in the bulk of the domain, and a creation/annihilation mechanism at its boundaries. For this process, we study the law of large numbers for densities and current. The limiting equations are given by a system of non-linear reaction–diffusion equations with Dirichlet boundary conditions.

Suggested Citation

  • Kuoch, Kevin & Mourragui, Mustapha & Saada, Ellen, 2017. "A boundary driven generalized contact process with exchange of particles: Hydrodynamics in infinite volume," Stochastic Processes and their Applications, Elsevier, vol. 127(1), pages 135-178.
    • Handle: RePEc:eee:spapps:v:127:y:2017:i:1:p:135-178
    DOI: 10.1016/j.spa.2016.06.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304414915300661
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.spa.2016.06.004?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.

    References listed on IDEAS

    as
    1. Marra, R. & Mourragui, M., 2000. "Phase segregation dynamics for the Blume-Capel model with Kac interaction," Stochastic Processes and their Applications, Elsevier, vol. 88(1), pages 79-124, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:eee:spapps:v:127:y:2017:i:1:p:135-178. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description .

      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.