Anti-red bonds distribution law in 3D percolation

J.-F. Gouyet

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 301-308

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:301-308

DOI: 10.1016/0378-4371(92)90542-X

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