IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v251y1998i3p399-429.html
   My bibliography  Save this article

Activated rate processes in many dimensions: energy diffusion with slow adjustment of a nonreactive mode

Author

Listed:
  • Berezhkovskii, A.M.
  • Zitserman, V.Yu.
  • Yang, D.-Y.
  • Kuo, J.
  • Lin, S.H.

Abstract

Activated rate processes in two dimensions are studied analytically under the condition of weak friction on the reactive mode (energy diffusion) and high friction on the nonreactive coordinate. It is found that the process scenario and, as a consequence, the escape kinetics crucially depend on the strength of the mode coupling. When the coupling is strong the energy diffusion does not manifest itself. The kinetics is single-exponential with a rate constant independent of the friction on the reactive mode. For moderate mode coupling the energy diffusion plays an important role. Different process scenarios and, hence, the kinetics can be realized depending on the strength of friction on the both modes. Both multiexponential decay and single-exponential kinetics are possible. The latter may take place either when particles escape via the saddle on the potential surface (the traditional escape scenario) or when particles escape on a path that avoids the saddle point.

Suggested Citation

  • Berezhkovskii, A.M. & Zitserman, V.Yu. & Yang, D.-Y. & Kuo, J. & Lin, S.H., 1998. "Activated rate processes in many dimensions: energy diffusion with slow adjustment of a nonreactive mode," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 251(3), pages 399-429.
    • Handle: RePEc:eee:phsmap:v:251:y:1998:i:3:p:399-429
    DOI: 10.1016/S0378-4371(97)00565-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197005657
    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/S0378-4371(97)00565-7?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:251:y:1998:i:3:p:399-429. 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.