IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i16p3039-3047.html
   My bibliography  Save this article

Potts model with q=4,6, and 8 states on Voronoi–Delaunay random lattice

Author

Listed:
  • Lima, F.W.S.

Abstract

Through Monte Carlo simulations we study the 2D Potts models with q=4,6 and 8 states on Voronoi–Delaunay random lattice. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as J(r)∝e−ar, with a≥0. The disordered system is simulated by applying the single-cluster Monte Carlo update algorithm and the reweighting technique. In this model both second-order and first-order phase transitions are present depending on q values and a parameter. The critical exponents’ ratios β/ν,γ/ν, and 1/ν were calculated for the case where the second-order phase transitions are present. In the Potts model with q=8 we also studied the distribution of cluster sizes.

Suggested Citation

  • Lima, F.W.S., 2010. "Potts model with q=4,6, and 8 states on Voronoi–Delaunay random lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3039-3047.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:16:p:3039-3047
    DOI: 10.1016/j.physa.2010.03.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110002736
    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.2010.03.029?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:389:y:2010:i:16:p:3039-3047. 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.