IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v150y1988i3p499-511.html
   My bibliography  Save this article

Reentrant transitions in the van Hemmen model of a spin glass

Author

Listed:
  • Jȩdrzejewski, J.
  • Komoda, A.
  • Mozrzymas, J.

Abstract

The van Hemmen model of a spin glass, which is an Ising model with random couplings Jij between sites i and j equal to J0 + J(ξiηj + ξjηi), where (ξi, ηi) are independent, identically distributed random variables, is studied in the pair approximation of the cluster variation method. For the family of probability distributions 12(1 − p)δ(ξi − a) + pδ(ξi) + 12 (1 − p)δ(ξi + a), where p is varied, phase diagrams are constructed. They are qualitatively different from the mean-field phase diagrams and display a competition between tendencies towards spin-glass and towards ferromagnetic ordering, which results in reentrant transitions. It is argued that the observed effects are not accidental but are borne by the competition of bonds of the underlying lattice system.

Suggested Citation

  • Jȩdrzejewski, J. & Komoda, A. & Mozrzymas, J., 1988. "Reentrant transitions in the van Hemmen model of a spin glass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(3), pages 499-511.
    • Handle: RePEc:eee:phsmap:v:150:y:1988:i:3:p:499-511
    DOI: 10.1016/0378-4371(88)90252-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843718890252X
    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(88)90252-X?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. Ghatak, S. & Turner, R. K., 1978. "Pesticide use in less developed countries -- economic and environmental considerations," Food Policy, Elsevier, vol. 3(2), pages 136-146, May.
    2. Storing, Herbert J. & Strauss, Leo & Berns, Walter & Storing, Herbert J. & Weinstein, Leo & Horwitz, Robert, 1963. "Replies to Schaar and Wolin: I," American Political Science Review, Cambridge University Press, vol. 57(1), pages 151-160, March.
    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. Ilkovič, V., 1996. "Cluster expansion for the spin-32 Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 545-553.
    2. Tanaka, Yoshiaki & Uryŭ, Norikiyo, 1981. "A new method for calculation of the magnetic properties in one- and two-dimensional spin systems with anisotropic Heisenberg exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(3), pages 493-516.
    3. Nusser, H. & Wagner, M., 1979. "Cluster expansions in cooperative Jahn-Teller T-systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 118-138.
    4. Pȩkalski, A. & Ausloos, M., 1980. "Critical temperature of inhomogeneous mixtures of Ising and Heisenberg substances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 507-517.
    5. Alassane Drabo, 2011. "Agricultural primary commodity export and environmental degradation: what consequences for population's health?," Working Papers halshs-00586034, HAL.
    6. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
    7. Van Der Haegen, R. & Luyckx, R. & Lekkerkerker, H.N.W., 1981. "Two particle cluster calculation of the chemical spinodal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(3), pages 622-628.

    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:150:y:1988:i:3:p:499-511. 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.