IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v254y1998i3p477-516.html
   My bibliography  Save this article

Graphical representations and cluster algorithms II11Work supported in part by the NSF under the grant DMR-96-32898 (J.M.)

Author

Listed:
  • Chayes, L.
  • Machta, J.

Abstract

We continue the study, initiated in Part I, of graphical representations and cluster algorithms for various models in (or related to) statistical mechanics. For certain models, e.g. the Blume–Emery–Griffths model and various generalizations, we develop Fortuin Kasteleyn-type representations which lead immediately to Swendsen Wang-type algorithms. For other models, e.g. the random cluster model, that are defined by a graphical representation, we develop cluster algorithms without reference to an underlying spin system. In all cases, phase transitions are related to percolation (or incipient percolation) in the graphical representation which, via the IC algorithm, allows for the rapid simulation of these systems at the transition point. Pertinent examples include the (continuum) Widom–Rowlinson model, the restricted 1-step solid-on-solid model and the XY model.

Suggested Citation

  • Chayes, L. & Machta, J., 1998. "Graphical representations and cluster algorithms II11Work supported in part by the NSF under the grant DMR-96-32898 (J.M.)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(3), pages 477-516.
  • Handle: RePEc:eee:phsmap:v:254:y:1998:i:3:p:477-516
    DOI: 10.1016/S0378-4371(97)00637-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197006377
    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)00637-7?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.

    References listed on IDEAS

    as
    1. Chayes, L. & Machta, J., 1997. "Graphical representations and cluster algorithms I. Discrete spin systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 239(4), pages 542-601.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barbaro, Alethea B.T. & Chayes, Lincoln & D’Orsogna, Maria R., 2013. "Territorial developments based on graffiti: A statistical mechanics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(1), pages 252-270.
    2. Chayes, L & Shtengel, K, 2000. "Lebowitz inequalities for Ashkin–Teller systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 312-323.

    More about this item

    Keywords

    Cluster algorithms; Random cluster models;

    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:eee:phsmap:v:254:y:1998:i:3:p:477-516. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.