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.

NCN@Purdue Summer School 2008
National Science Fondation
Intel Corporation

Researchers should cite this work as follows:

• Muhammad A. Alam (2008), "Lecture 2: Thresholds, Islands, and Fractals," https://nanohub.org/resources/5698.

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1. bottom up approach
2. nanoelectronics
3. nanotransistors
4. nanowires
5. percolation
6. transistors