IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v221y1995i1p68-79.html
   My bibliography  Save this article

Renormalization group, scaling and universality in spanning probability for percolation

Author

Listed:
  • Hovi, J.-P.
  • Aharony, Amnon

Abstract

The spanning probability function for percolation is discussed using ideas from the renormalization group theory. We find that, apart from a few scale factors, the scaling functions are determined by the fixed point, and therefore are universal for every system with the same dimensionality, spanning rule, aspect ratio and boundary conditions, being independent of lattice structure and (finite) interaction length. This yields general results concerning the finite-size corrections and other corrections to scaling in general dimensions. For the special case of the square lattice with free boundaries, this theory, combined with duality arguments, give strong relations among different derivatives of the spanning function with respect to the scaling variables, thus yielding several new universal amplitude ratios and allowing systematic study of the corrections to scaling. The theoretical predictions are numerically confirmed with excellent accuracy.

Suggested Citation

  • Hovi, J.-P. & Aharony, Amnon, 1995. "Renormalization group, scaling and universality in spanning probability for percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 68-79.
    • Handle: RePEc:eee:phsmap:v:221:y:1995:i:1:p:68-79
    DOI: 10.1016/0378-4371(95)00272-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195002729
    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(95)00272-9?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. Li, Jiantong & Östling, Mikael, 2016. "Precise percolation thresholds of two-dimensional random systems comprising overlapping ellipses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 940-950.

    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:221:y:1995:i:1:p:68-79. 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.