Three basic concepts of the percolation theory – namely, percolation threshold, cluster size distribution, and fractal dimension – are defined and methods to calculate them are illustrated via elementary examples. These three concepts will form the theoretical foundation for discussion in Lecture 3, 4, and 5, respectively.
Researchers should cite this work as follows:
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Muhammad A. Alam (2008), "Lecture 2: Thresholds, Islands, and Fractals," https://nanohub.org/resources/5698.