IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v163y1990i2p440-446.html
   My bibliography  Save this article

Comparison of two algorithms for bootstrap percolation models

Author

Listed:
  • Adler, Joan
  • Gross, Ronen
  • Warmund, Ron

Abstract

Two different algorithms for determining the percolation threshold in bootstrap percolation models are compared. One algorithm is the usual literal bootstrap prescription, whereby each site with less than the required number of neighbours, is removed by a repetitive culling process. The second algorithm was proposed for diffusion percolation models, and has some similarities with multigrid or Swendsen-Wang algorithms for thermal systems, since it considers entire clusters in a single step. It is called the rectangle algorithm, because the clusters of the models under investigation are compact. For small systems and concentrations where not all lattices percolate, the literal algorithm is more efficient. However, there is some indication that for large systems and concentrations closer to the threshold value of the infinite system, the rectangle algorithm is faster. This has interesting implications for calculations in some other cellular automata systems.

Suggested Citation

  • Adler, Joan & Gross, Ronen & Warmund, Ron, 1990. "Comparison of two algorithms for bootstrap percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 163(2), pages 440-446.
    • Handle: RePEc:eee:phsmap:v:163:y:1990:i:2:p:440-446
    DOI: 10.1016/0378-4371(90)90135-F
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719090135F
    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(90)90135-F?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. Duarte, J.A.M.S., 1990. "Bootstrap automata: The dynamics of destruction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(3), pages 908-918.

    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:163:y:1990:i:2:p:440-446. 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.