IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v191y1992i1p301-308.html
   My bibliography  Save this article

Anti-red bonds distribution law in 3D percolation

Author

Listed:
  • Gouyet, J.-F.

Abstract

Combining two independent approaches the power law structure of the anti-red bonds distribution in d=3 percolation can be derived. This result is important to understand the dynamical behaviour of fluctuating fronts during diffusion and invasion processes, but also in problems of fragmentation-aggregation of percolation clusters. In d=2, it allows to calculate the fractal dimension of the hull, Dh=1+1ʋ, a known result not easy to prove. In d>2 dimensions, it gives an anti-red bonds equal to Danti-red=2D−1ʋ−d.

Suggested Citation

  • Gouyet, J.-F., 1992. "Anti-red bonds distribution law in 3D percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 301-308.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:301-308
    DOI: 10.1016/0378-4371(92)90542-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719290542X
    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(92)90542-X?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. Marina Colonna, 1986. "Book Reviews," Contributions to Political Economy, Cambridge Political Economy Society, vol. 5(1), pages 127-129.
    2. Bunde, Armin & Gouyet, Jean-François, 1985. "Brownian motion in the bistable potential at intermediate and high friction: Relaxation from the instability point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 357-374.
    3. Gouyet, J.F. & Sapoval, B. & Boughaleb, Y. & Rosso, M., 1989. "Structure of noise generated on diffusion fronts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 620-624.
    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.
    1. Gouyet, J.F. & Sapoval, B. & Boughaleb, Y. & Rosso, M., 1989. "Structure of noise generated on diffusion fronts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 620-624.
    2. Hansen, Alex & Roux, Stéphane, 1989. "A geometrical interpretation of the chaotic state of inhomogeneous deterministic cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 160(3), pages 275-297.
    3. Dekker, H., 1991. "Multisite spin hopping analysis of multilevel dissipative quantum tunneling and coherence at finite temperatures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 289-331.
    4. Gouyet, J.F. & Rosso, M. & Clément, E. & Baudet, C. & Hulin, J.P., 1989. "Invasion of a porous medium under gravity: A quantitative analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 497-498.
    5. Benoit, Magali & Jullien, Rémi, 1994. "Phase transition in the 2D ballistic growth model with quenched disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 207(4), pages 500-516.
    6. Gouyet, J.F., 1990. "Invasion noise during drainage in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 581-591.
    7. Lenormand, Roland, 1986. "Pattern growth and fluid displacements through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 114-123.

    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:191:y:1992:i:1:p:301-308. 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.