IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v185y1992i1p271-277.html
   My bibliography  Save this article

Multifractility of Ising models on hierarchical lattices: pure and spin glass cases

Author

Listed:
  • Coutinho, S.
  • Donato Neto, O.
  • de Almeida, J.R.L.
  • Curado, E.M.F.
  • Morgado, W.A.M.

Abstract

The multifractal properties of the order parameter of Ising spin models on hierarchical lattices are investigated by an exact recursion procedure. Both pure and spin glass cases exhibit an order parameter with multifractal structure at the critical point. The connection between the multifractal ƒ(α) function and the critical exponents governing the transition is established. A continuous infinite set of exponents is required to describe the critical behavior of the local order parameter. Scaling relations between these exponents are also obtained.

Suggested Citation

  • Coutinho, S. & Donato Neto, O. & de Almeida, J.R.L. & Curado, E.M.F. & Morgado, W.A.M., 1992. "Multifractility of Ising models on hierarchical lattices: pure and spin glass cases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 271-277.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:271-277
    DOI: 10.1016/0378-4371(92)90466-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437192904664
    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(92)90466-4?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. Rocha-Neto, Mário J.G. & Camelo-Neto, G. & Nogueira Jr., E. & Coutinho, S., 2018. "The Blume–Capel model on hierarchical lattices: Exact local properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 559-573.

    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:185:y:1992:i:1:p:271-277. 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.