IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v224y1996i1p169-179.html
   My bibliography  Save this article

“Self-organized” formulation of standard percolation phenomena

Author

Listed:
  • Grassberger, Peter
  • Yi-Cheng Zhang,

Abstract

We consider standard percolation processes such as epidemic processes with or without immunization. We show that their dynamics can be formulated so that they mimic self-organized critical phenomena: the wetting probability p needs not to be fine tuned to its critical value pc in order to arrive at criticality, but it rather emerges as a singularity in some time-dependent distribution. On the one hand, this casts doubts on the significance of self-organized as opposed to ordinary criticality. On the other hand, it suggests very efficient algorithms where percolation problems are studied at several values of p in a single run. As an example, we apply such an algorithm to directed percolation in 2 + 1 dimensions, where it allows a very precise determination of critical behavior.

Suggested Citation

  • Grassberger, Peter & Yi-Cheng Zhang,, 1996. "“Self-organized” formulation of standard percolation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 169-179.
    • Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:169-179
    DOI: 10.1016/0378-4371(95)00321-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437195003215
    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)00321-5?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. Silverberg, Gerald & Verspagen, Bart, 2002. "A Percolation Model of Innovation in Complex Technology," Research Memorandum 032, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
    2. Silverberg, Gerald & Verspagen, Bart, 2005. "A percolation model of innovation in complex technology spaces," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 225-244, January.
    3. Michele Giusfredi & Franco Bagnoli, 2020. "From Color-Avoiding to Color-Favored Percolation in Diluted Lattices," Future Internet, MDPI, vol. 12(8), pages 1-12, August.
    4. da Silva, Roberto & Alves, Nelson, 2005. "Dynamic exponents of a probabilistic three-state cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 263-276.
    5. Silverberg, Gerald, 2002. "The discrete charm of the bourgeoisie: quantum and continuous perspectives on innovation and growth," Research Policy, Elsevier, vol. 31(8-9), pages 1275-1289, December.

    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:224:y:1996:i:1:p:169-179. 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.