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An universal relation between fractal and Euclidean (topological) dimensions of random systems

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Abstract:

It is shown that a dimension-invariant form for fractal dimension D of random systems (where d is Euclidean dimension of the embedding space) is in good agreement with results of numerical simulations performed by different authors for critical (p=p c ) and subcritical (p<p c ) percolation, for lattice animals, and for different aggregation processes.

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  1. P.O. Box 39953, Ramat-Aviv 61398, Tel-Aviv, Israel, , , , , , IL

    A. Bershadskii

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  1. A. Bershadskii
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Received: 9 July 1998 / Revised and Accepted: 12 July 1998

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Bershadskii, A. An universal relation between fractal and Euclidean (topological) dimensions of random systems. Eur. Phys. J. B 6, 381–382 (1998). https://doi.org/10.1007/s100510050564

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  • DOI: https://doi.org/10.1007/s100510050564

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