IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v133y1985i3p425-441.html
   My bibliography  Save this article

Free energy and ordering in random quenched Potts model

Author

Listed:
  • Bogolubov, N.N.
  • Ermilov, A.N.
  • Kurbatov, A.M.
  • Pronin, P.I.

Abstract

The quenched Potts model with random coupling parameters and random fields is considered. These random quantities may have arbitrary distribution densities. They may be different for different pairs of sites and different sites respectively. On the basis of the Bogolubov variational principle1) the free energy is evaluated and the equations for variational parameters are obtained. The connection of the variational parameters with magnetization and spin glass parameters is found out. A special case of translationally invariant systems is considered.

Suggested Citation

  • Bogolubov, N.N. & Ermilov, A.N. & Kurbatov, A.M. & Pronin, P.I., 1985. "Free energy and ordering in random quenched Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(3), pages 425-441.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:3:p:425-441
    DOI: 10.1016/0378-4371(85)90141-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437185901414
    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/10.1016/0378-4371(85)90141-4?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ermilov, A.N. & Kurbatov, A.M. & Kabanovich, V.I. & Racotoaridzauna, S., 1992. "Almeida-Thouless inequality for the quenched Ising models with arbitrary distributions of coupling constants," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 190-196.
    2. Krasil'nikov, V.V. & Peletminskij, S.V. & Yatsenko, A.A., 1990. "On the theory of a superfluid Fermi liquid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 162(3), pages 513-541.
    3. Odagaki, T. & Matsui, J. & Hiwatari, Y., 1994. "Trapping diffusion model for glass transition and slow dynamics in supercooled liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 464-481.

    More about this item

    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:133:y:1985:i:3:p:425-441. 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.