IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-58600-2_4.html
   My bibliography  Save this book chapter

Dynamical Behavior of Persistent Spins in the Triangular Potts Model

In: High Performance Computing in Science and Engineering ’98

Author

Listed:
  • Michael Hennecke

    (University of Karlsruhe, Computing Center
    Cologne University, Institute for Theoretical Physics)

Abstract

This article summarizes the results of a series of Monte Carlo simulations of persistent spins or “survivors” in the triangular Q-state Potts model. It is shown that the fraction F(t) of survivors decays algebraically in time t, with nontrivial exponents θ depending on Q but not on temperature T. At zero temperature, asymptotic exponents θ have been calculated for the whole range of Q = 3 to ∞. In accordance with exact results in one dimension and early Monte Carlo studies in two dimensions, θ increases from 0.31 to unity as Q increases from 3 to ∞. For small Q, it has also been shown that θ approaches the same universal value for both zero and non-zero temperatures (below the critical temperature Tc).

Suggested Citation

  • Michael Hennecke, 1999. "Dynamical Behavior of Persistent Spins in the Triangular Potts Model," Springer Books, in: Egon Krause & Willi Jäger (ed.), High Performance Computing in Science and Engineering ’98, pages 26-34, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-58600-2_4
    DOI: 10.1007/978-3-642-58600-2_4
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:spr:sprchp:978-3-642-58600-2_4. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.