IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v342y2004i3p516-528.html
   My bibliography  Save this article

Asymmetric dynamics and critical behavior in the Bak–Sneppen model

Author

Listed:
  • Garcia, Guilherme J.M.
  • Dickman, Ronald

Abstract

We investigate, using mean-field theory and simulation, the effect of asymmetry on the critical behavior and probability density of Bak–Sneppen models. Two kinds of anisotropy are investigated: (i) different numbers of sites to the left and right of the central (minimum) site are updated and (ii) sites to the left and right of the central site are renewed in different ways. Of particular interest is the crossover from symmetric to asymmetric scaling for weakly asymmetric dynamics, and the collapse of data with different numbers of updated sites but the same degree of asymmetry. All non-symmetric rules studied fall, independent of the degree of asymmetry, in the same universality class. Conversely, symmetric variants reproduce the exponents of the original model. Our results confirm the existence of two symmetry-based universality classes for extremal dynamics.

Suggested Citation

  • Garcia, Guilherme J.M. & Dickman, Ronald, 2004. "Asymmetric dynamics and critical behavior in the Bak–Sneppen model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 342(3), pages 516-528.
    • Handle: RePEc:eee:phsmap:v:342:y:2004:i:3:p:516-528
    DOI: 10.1016/j.physa.2004.04.133
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104008738
    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/j.physa.2004.04.133?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. Vendruscolo, Michele, 1998. "Protein stability and foldability–designability complementarity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 576-580.
    2. Peter Eggert & Eberhard Wettig, 1995. "Die osteuropäischen Länder als Produzenten, Verbraucher und Exporteure von Mangan, Chrom, Nickel und Molybdän," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 62(6), pages 154-160.
    3. Eberhard Wettig, 1994. "Die Stellung der UdSSR und ihrer Nachfolgestaaten auf den Weltmärkten ausgewählter Stahlveredler," DIW Wochenbericht, DIW Berlin, German Institute for Economic Research, vol. 61(28), pages 480-483.
    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. Kleinert, P. & Schlegel, H., 1995. "Parquet approximation for a disordered two-dimensional electron gas in a strong transverse magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 218(3), pages 507-525.

    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:342:y:2004:i:3:p:516-528. 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.