IDEAS home Printed from https://ideas.repec.org/p/wop/safiwp/99-09-062.html
   My bibliography  Save this paper

Metastable States in High Order Short-Range Spin Glasses

Author

Listed:
  • Viviana M. de Oliveira
  • J. F. Fontanari
  • Peter F. Stadler

Abstract

The mean number (N) of metastable states in higher order short-range spin glasses is estimated analytically using a variational method introduced by Tanaka and Edwards for very large coordination numbers. For lattices with small connectivities, numerical simulations do not show any significant dependence on the relative positions of the interacting spins on the lattice, indicating thus that these systems can be described by a few macroscopic parameters. As an extremely anisotropic model we consider the low autocorrelated binary spin model and we show through numerical simulations that its landscape has an exceptionally large number of local optima.

Suggested Citation

  • Viviana M. de Oliveira & J. F. Fontanari & Peter F. Stadler, 1999. "Metastable States in High Order Short-Range Spin Glasses," Working Papers 99-09-062, Santa Fe Institute.
    • Handle: RePEc:wop:safiwp:99-09-062
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    References listed on IDEAS

    as
    1. Sprik, M. & Hijmans, T. & Trappeniers, N.J., 1981. "The ordering phase transitions in solid methane and the cerium monochalcogenides compared. A test of universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(1), pages 339-346.
    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. Fernando F. Feirreira & José F. Fontanari & Peter F. Stadler, 2000. "Landscape Statistics of the Low Autocorrelated Binary String Problem," Working Papers 00-07-033, Santa Fe Institute.

    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.

      More about this item

      Keywords

      Spin glasses; local optima; rugged landscapes;
      All these keywords.

      NEP fields

      This paper has been announced in the following NEP Reports:

      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:wop:safiwp:99-09-062. 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: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/epstfus.html .

      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.