IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i15p3001-3016.html
   My bibliography  Save this article

Diffusion-controlled reaction on a one dimensional lattice: Dependence on jump and reaction probabilities

Author

Listed:
  • Wheeler, Herbert
  • Lewis, John Courtenay

Abstract

In an earlier study [J.C. Lewis, H. Wheeler, Physica A 271 (1999) 63–86] of the dependence on jump probability p of the rates of diffusion-controlled reactions on simple cubic lattices in dimension 2≤d≤4 we found that the dependence was non-linear, which is not in accord with what would be expected on the basis of theories of such reactions in continua [M. von Smoluchowski, Wien. Ber. 124 (1915) 263; Phys. Zeit. 17 (1916) 557–585; Z. Phys. Chem. 92 (1917) 129; S. Chandrasekhar, Revs. Modern Phys. 15 (1) (1943) 1–89]. In the present work we examine the d=1 case. Jump probabilities less than one are of particular importance in that the p=1 case, in which all particles move simultaneously, is not physical.

Suggested Citation

  • Wheeler, Herbert & Lewis, John Courtenay, 2009. "Diffusion-controlled reaction on a one dimensional lattice: Dependence on jump and reaction probabilities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3001-3016.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:15:p:3001-3016
    DOI: 10.1016/j.physa.2009.04.022
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437109003276
    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/j.physa.2009.04.022?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.

    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:388:y:2009:i:15:p:3001-3016. 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.