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Forma, Vol. 30 (Special Issue), pp. S17S23, 2015
doi:10.5047/forma.2015.s004

Review

Percolation

Sasuke Miyazima

Department of Natural Sciences, Chubu University, Matsumoto-cho 1200, Kasugai, Aichi 487-8501, Japan
E-mail address: miyazima@isc.chubu.ac.jp

(Received September 30, 2014; Accepted January 19, 2015)

Abstract. Percolation model is one of the most foundamental models holding important concept such as phase transition, growth phenomena, universality, and also it provides clues for studies of transport coefficients of porous media, forest fire, epidemics in an orchard, networks and so on. There are mainly two types of percolation models, discrete percolation model and continuum percolation model. The former is based on a lattice structure, where some exact solutions are found, while the latter on continuum space, where more experimental investigations are expected.

Keywords: Discrete Percolation Model, Continuum Percolation Model, Critical Point, Critical Exponent, Fractal


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