IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v185y1992i1p235-239.html
   My bibliography  Save this article

Fractal dimensions of Potts clusters

Author

Listed:
  • Vanderzande, Carlo

Abstract

Clusters are connected sets of nearest neighbour sites for which the Potts variable is in the same state. At critically there exists an infinite, fractal, cluster in the two-dimensional Potts model. We discuss some fractal properties of this cluster.

Suggested Citation

  • Vanderzande, Carlo, 1992. "Fractal dimensions of Potts clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 235-239.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:235-239
    DOI: 10.1016/0378-4371(92)90461-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719290461X
    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)90461-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. Pietronero, L. & Erzan, A. & Evertsz, C., 1988. "Theory of Laplacian fractals: Diffusion limited aggregation and dielectric breakdown model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 151(2), pages 207-245.
    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. Vergassola, M. & Vespignani, A., 1991. "Non-conservative character of the intersection of self-similar cascades," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 425-437.
    2. Meakin, Paul, 1992. "Simplified diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 1-17.
    3. Lee, Sung Jong & Halsey, Thomas C., 1990. "Some results on multifractal correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 575-592.
    4. Marsili, M. & Pietronero, L., 1991. "Fixed scale transformation approach to the multifractcal properties of the growth probabilities in the dielectric breakdown model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 31-46.
    5. Meneveau, Charles & Chhabra, Ashvin B., 1990. "Two-point statistics of multifractal measures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 564-574.
    6. Marsili, M. & Pietronero, L., 1991. "Properties of the growth probability for the dielectric breakdown model in cylinder geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 9-30.
    7. Martinez-Saito, Mario, 2022. "Discrete scaling and criticality in a chain of adaptive excitable integrators," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    8. Evertsz, Carl J.G. & Mandelbrot, Benoit B., 1992. "Self-similarity of harmonic measure on DLA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 77-86.
    9. Tolman, Susan & Meakin, Paul, 1989. "Two, three and four-dimensional diffusion-limited aggregation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 158(3), pages 801-816.
    10. Sidoretti, S. & Vespignani, A., 1992. "Fixed scale transformation applied to cluster-cluster aggregation in two and three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 202-210.

    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:185:y:1992:i:1:p:235-239. 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.