IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v118y1983i1p395-406.html
   My bibliography  Save this article

The description of catastropic changes in tagged particle dynamics by the self-consistent repeated ring equation

Author

Listed:
  • Keyes, T.
  • Masters, A.J.

Abstract

The nature of tagged particle motion in random media can change catastrophically as some parameter, most notably the scatterer density, is varied. In some systems, the self-diffusion constant vanishes above a critical density, providing a dynamic analog of the static percolation problem. Good theoretical treatments of these phenomena are given by solutions of the nonlinear equations generated by the “self-consistent repeated ring” approximation. In this paper, we work out the repeated ring approximation for three systems: a random walk on a lattice where randomly chosen sites are excluded to the walker, the Lorentz gas, and the motion of a light particle in a real fluid.

Suggested Citation

  • Keyes, T. & Masters, A.J., 1983. "The description of catastropic changes in tagged particle dynamics by the self-consistent repeated ring equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 395-406.
    • Handle: RePEc:eee:phsmap:v:118:y:1983:i:1:p:395-406
    DOI: 10.1016/0378-4371(83)90208-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843718390208X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(83)90208-X?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Protopopescu, V. & Keyes, T., 1985. "The Goldstein-McKean model revisited," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 421-437.
    2. Lowe, C.P. & Masters, A.J., 1995. "Various velocity correlations functions in a Lorentz gas - simulation and mode coupling theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(3), pages 413-425.

    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:eee:phsmap:v:118:y:1983:i:1:p:395-406. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.