IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v232y1996i1p326-348.html
   My bibliography  Save this article

Phase transitions in two sublattice Ising systems

Author

Listed:
  • Al Mukadam, Hasan M.
  • Uzunov, Dimo I.

Abstract

A two sublattice spin-12 Ising systemis ionvestigated by the mean field (MF) and the renormalization group (RG) methods. The properties of the phases and the phase transitions are considered in details for the general case of nonequivalent sublattices. The MF analysis is performed by an expansion in powers of a suitable small parameter. The RG is used to establish the possibility for a fluctuation change of the order of the phase transitions to ferro- and antiferromagnetic states in systems with equivalent sublattices. It is shown that such systems exhibit fluctuation-induced weakly-first-order phase transitions. The RG investigation of systems with nonequivalent sublattices is also presented.

Suggested Citation

  • Al Mukadam, Hasan M. & Uzunov, Dimo I., 1996. "Phase transitions in two sublattice Ising systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 326-348.
    • Handle: RePEc:eee:phsmap:v:232:y:1996:i:1:p:326-348
    DOI: 10.1016/0378-4371(96)00146-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719600146X
    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(96)00146-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. Oleksy, Czeslaw & Przystawa, Jerzy, 1983. "On phase transitions with bilinearly coupled order parameters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 145-149.
    2. Ronis, David & Mukamel, Shaul, 1982. "On the validity of non-Markov reduced equations of motion in non-equilibrium statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 1-17.
    3. Uzunov, D.I. & Korutcheva, E.R. & Millev, Y.T., 1985. "Random field effects in classical and quantum critical phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(3), pages 535-549.
    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. Rubí, J.M. & Díaz-Guilera, A. & Torner, Ll., 1987. "Spatial correlations for temperature fluctuations from surface noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(1), pages 220-232.
    2. Torner, Ll. & Rubí, J.M. & Díaz-Guilera, A., 1989. "On fluctuations in interfacial fluid systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 1018-1032.
    3. Micnas, R. & Chao, K.A. & Robaszkiewicz, S., 1985. "Phase transitions in a disordered extended Hubbard model and in the random field Blume-Capel model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 504-536.
    4. Busiello, G. & De Cesare, L. & Rabuffo, I., 1987. "Destruction of long-range order in quantum ferroelectrics via random field fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 192-200.

    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:232:y:1996:i:1:p:326-348. 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.