IDEAS home Printed from https://ideas.repec.org/p/wop/safiwp/01-02-010.html
   My bibliography  Save this paper

A Fast Monte Carlo Algorithm for Site or Bond Percolation

Author

Listed:
  • M. E. J. Newman
  • R. M. Ziff

Abstract

We describe in detail a new and highly effcient algorithm for studying site or bond percolation on any lattice. The algorithm can measure an observable quantity in a percolation system for all values of the site or bond occupation probability from zero to one in an amount of time which scales linearly with the size of the system. We demonstrate our algorithm by using it to investigate a number of issues in percolation theory, including the position of the percolation transition for site percolation on the square lattice, the stretched exponential behavior of spanning probabilities away from the critical point, and the size of the giant component for site percolation on random graphs.

Suggested Citation

  • M. E. J. Newman & R. M. Ziff, 2001. "A Fast Monte Carlo Algorithm for Site or Bond Percolation," Working Papers 01-02-010, Santa Fe Institute.
  • Handle: RePEc:wop:safiwp:01-02-010
    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. W. Fontana & P. Schuster, 1998. "Shaping Space: The Possible and the Attainable in RNA Genotype-Phenotype Mapping," Working Papers ir98004, International Institute for Applied Systems Analysis.
    2. W. Fontana & P. Schuster, 1998. "Continuity in Evolution: On the Nature of Transitions," Working Papers ir98039, International Institute for Applied Systems Analysis.
    3. BŠrbel M. R. Stadler & Peter F. Stadler & GŸnter P. Wagner & Walter Fontana, 2000. "The Topology of the Possible: Formal Spaces Underlying Patterns of Evolutionary Change," Working Papers 00-12-070, Santa Fe Institute.
    Full references (including those not matched with items on IDEAS)

    More about this item

    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:01-02-010. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel). General contact details of provider: http://edirc.repec.org/data/epstfus.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.