IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v317y2003i3p354-370.html
   My bibliography  Save this article

Dynamic behaviour of the modified Pople–Karasz model

Author

Listed:
  • Özgan, Şükrü
  • Yazıcı, Mustafa
  • Keskin, Mustafa

Abstract

The dynamic behaviour of the modified Pople–Karasz model is studied by the direct relaxation method and the path probability method. First the equilibrium behaviour of the model is given briefly in order to understand the dynamic behaviour. Then the direct relaxation method, which is based on the detailed balance conditions, and the path probability method are applied to the model and the dynamic equations or the rate equations are obtained. Dynamic equations are solved either by means of the flow diagram or by using the Runge–Kutta method, or both. The stable, metastable and unstable solutions are shown in the flow diagrams explicitly, and the role of the unstable state as separators between the stable and metastable is described. Moreover, the “flatness” property of the metastable state and the “overshooting” phenomenon are seen explicitly from the relaxation curves of the order parameters.

Suggested Citation

  • Özgan, Şükrü & Yazıcı, Mustafa & Keskin, Mustafa, 2003. "Dynamic behaviour of the modified Pople–Karasz model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(3), pages 354-370.
    • Handle: RePEc:eee:phsmap:v:317:y:2003:i:3:p:354-370
    DOI: 10.1016/S0378-4371(02)01353-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102013535
    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(02)01353-5?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:317:y:2003:i:3:p:354-370. 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.