IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i23p5339-5346.html
   My bibliography  Save this article

Universality of 3D percolation exponents and first-order corrections to scaling for conductivity exponents

Author

Listed:
  • Kozlov, B.
  • Laguës, M.

Abstract

By using a fast, Nested Dissection algorithm we compare the results of finite-size scaling at pc and of “p” scaling (L=const) on large cubic random resistor networks [up to 500×500×500]. The “p” scaling for conductivity of both site and bond networks leads to an exponent t=2.00(1). The finite-size scaling leads to the ratio of this conductivity exponent to the coherence length exponent ν: t/ν=2.283(3). Combining these results we estimate ν=0.876(6), in excellent agreement with a value proposed by Ballesteros et al. The first-order correctional exponent ω is found to be ω=1.0(2).

Suggested Citation

  • Kozlov, B. & Laguës, M., 2010. "Universality of 3D percolation exponents and first-order corrections to scaling for conductivity exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5339-5346.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:23:p:5339-5346
    DOI: 10.1016/j.physa.2010.08.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110006758
    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.2010.08.002?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. J.P. Clerc & V.A. Podolskiy & A.K. Sarychev, 2000. "Precise determination of the conductivity exponent of 3D percolation using exact numerical renormalization," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 15(3), pages 507-516, June.
    2. Chunyu Li & Tsu-Wei Chou, 2009. "Precise Determination Of Backbone Structure And Conductivity Of 3d Percolation Networks By The Direct Electrifying Algorithm," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 20(03), pages 423-433.
    3. Jean-Marie Normand & Hans J. Herrmann, 1995. "Precise Determination Of The Conductivity Exponent Of 3d Percolation Using "Percola"," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 6(06), pages 813-817.
    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.

      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:389:y:2010:i:23:p:5339-5346. 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.