Abstract
Percolation has been introduced several decades ago and the related scientific activity has grown steadily since.1 In regular percolation, black (resp. white) particles are randomly distributed on the sites of a periodic lattice with probability p (resp. 1 - p). Two black particles sitting on first-neighbor sites belong to the same percolation cluster. As p is increased from zero, an infinite cluster spans the (infinite) lattice for the first time when p reaches a critical value p c . The clusters are self-similar fractals at p = p c , with a fractal dimension. 2,3 In order to investigate the geometry of percolation clusters in more details, it proved nesserary to define several subsets for the particles inside a cluster.1 The hull, i.e., the ensemble of the cluster particles in contact with the surrounding medium of white particles is one of these subsets.
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Debierre, JM. (1994). Hull of Percolation Clusters in Three Dimensions. In: Rabin, Y., Bruinsma, R. (eds) Soft Order in Physical Systems. NATO ASI Series, vol 323. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2458-8_19
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DOI: https://doi.org/10.1007/978-1-4615-2458-8_19
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