IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v210y1994i3p424-434.html
   My bibliography  Save this article

A theoretical study of the diluted spin-52 Blume-Capel model

Author

Listed:
  • Kerouad, M.
  • Saber, M.
  • Tucker, J.W.

Abstract

The quenched site-diluted spin-52 Blume-Capel model is studied using a new technique in effective field theory that employs a probability distribution within the framework of single-site cluster theory based on the use of exact Ising spin identities. The probability distribution, derived with the aid of Tucker's generalised Van der Waerden operators, correctly account for the single site kinematic relations and certain configurational averaging identities. The concentration dependence of the ferromagnetic phase boundary is studied. In particular, it is found that a range of single-ion field strengths exists over which the critical concentration for ordering varies anomalously. Results for the honeycomb, square and cubic lattices are presented. The thermal variation of the magnetization, the quadrupolar, and higher order magnetization moments, are presented for selected values of the concentration.

Suggested Citation

  • Kerouad, M. & Saber, M. & Tucker, J.W., 1994. "A theoretical study of the diluted spin-52 Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 424-434.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:3:p:424-434
    DOI: 10.1016/0378-4371(94)90090-6
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194900906
    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(94)90090-6?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. Tucker, J.W. & Saber, M. & Peliti, L., 1994. "A new technique in the effective field theory of general spin S dilute Ising models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 497-507.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Huang, Jinhua & Shi, Xiaoling & Song, Zhaoyuan & Shi, Yingguo, 2017. "Dynamic critical temperature in MnIIFeIII bimetallic oxalates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 460-466.

    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. Bakkali, A. & Kerouad, M. & Saber, M., 1996. "The spin-32 Blume-Emery-Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(3), pages 563-573.
    2. Elkouraychi, A. & Saber, M. & Tucker, J.W., 1995. "On the theory of the transverse Ising model with arbitrary spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 213(4), pages 576-586.
    3. di Liberto, F. & Peruggi, F., 1998. "Mean field critical behaviour for the frustrated percolation model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(3), pages 273-287.
    4. Ausloos, M. & Mróz, I. & Pȩkalski, A. & Vandewalle, N., 1998. "Lattice gas model of gradual evolution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 248(1), pages 155-164.
    5. Saber, M. & Tucker, J.W., 1995. "Theoretical study of the quenched diluted spin 2 ising ferromagnet in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 407-418.

    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:210:y:1994:i:3:p:424-434. 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.