New percolating structures in random fractals in 2d and 3d

M. Perreau and J.C.S. Levy

Physica A: Statistical Mechanics and its Applications, 1989, vol. 157, issue 1, 31-36

Abstract: The study of random fractals on d-dimensional hypercubic space enables us to define (d − 1) classes of percolating structures in these fractals. Such percolating structures are shown here when d = 2 and d = 3. The fractal dimensions of these sets at the percolation thresholds are: 32 for d = 2 corresponding to a threaded structure, and 2 and 83 for d = 3, corresponding respectively to a threaded structure and a twisted structure. The study of random walk on these percolating structures reveals the harmonic analysis of electrical and transport properties.

Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:157:y:1989:i:1:p:31-36

DOI: 10.1016/0378-4371(89)90273-2

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