IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v208y1994i2p287-299.html
   My bibliography  Save this article

Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method

Author

Listed:
  • Grigelionis, Gintautas
  • Rosengren, Anders

Abstract

The cluster-variation method (CVM) is used to investigate the phase diagram of the Blume-Emery-Griffiths (BEG) model on the triangular lattice. New topologies of the phase diagrams for K|J| < -1 including three antiquadrupolar phases (in the ferromagnetic case; J> 0) and antiquadrupolar and ferrimagnetic phases (in the antiferromagnetic case; J < 0) are obtained. No previously reported reentrant phenomenon is found. Good accuracy of CVM is confirmed in comparison with the results of the analytic and Monte Carlo calculations.

Suggested Citation

  • Grigelionis, Gintautas & Rosengren, Anders, 1994. "Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(2), pages 287-299.
    • Handle: RePEc:eee:phsmap:v:208:y:1994:i:2:p:287-299
    DOI: 10.1016/0378-4371(94)00051-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194000514
    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)00051-4?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.

    References listed on IDEAS

    as
    1. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Griffiths, Mary, 1977. "Nutrition : Second European nutrition conference, Munich, 14-17 September 1976," Food Policy, Elsevier, vol. 2(1), pages 76-77, February.
    3. Evangelista, D.L., 1992. "Management of mangrove areas in Calauag Bay, Quezon Province, Philippines," Naga, The WorldFish Center, vol. 15(2), pages 48-49.
    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. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Meijer, Paul H.E., 1988. "Study of the critical line and its double point in the intermediate model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 359-364.
    3. Buzano, C., 1988. "Order-order and order-disorder transitions in the quantum spin-1 Ising-Heisenberg models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 54-76.
    4. Quadros, S.G.A. & Salinas, S.R., 1994. "Renormalization-group calculations for a mixed-spin Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 479-496.
    5. Bakchich, A. & Benyoussef, A. & Touzani, M., 1993. "Antiferromagnetic Potts model in a magnetic field: a finite size scaling study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(3), pages 516-524.
    6. Teubner, Max, 1992. "Composition fluctuations and the geometry of phase diagrams in multicomponent mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 393-414.
    7. Primavera, J. H., 2000. "Development and conservation of Philippine mangroves: institutional issues," Ecological Economics, Elsevier, vol. 35(1), pages 91-106, October.
    8. Meijer, Paul H.E. & Pegg, Ian L., 1991. "Structure of the critical lines for the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 391-405.

    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:208:y:1994:i:2:p:287-299. 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.