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Article
Some Applications of the Percolation Theory: Review of the Century Beginning
Author(s)
Alexander Herega
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DOI:10.17265/2161-6213/2015.11-12.004
Affiliation(s)
Department of Computer Systems, Odessa National Academy of Food Technologies, Odessa, 65039, Ukraine
ABSTRACT
The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 years. At the submitted papers are studied both the cluster system of the physical body and its impact on the object in general, and adequate mathematical tools for description of critical phenomena too. Of special interest are the data, first, the point of phase transition of certain of percolation system is not really a point, but it is a critical interval, and second, in vicinity of percolation threshold observed many different infinite clusters instead of one infinite cluster that appears in traditional consideration.
KEYWORDS
Disordered system, critical phenomena, percolation cluster, fractal dimension, critical exponents, percolation threshold.
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