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Fractal dimensions of Potts clusters

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  • 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
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    References listed on IDEAS

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    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.
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