Numerical calculation of the infinite cluster and its backbone fractal dimension for a square network of percolation

Abstract

We calculate the fractal dimension of the infinite cluster, minimal path and its backbone for a square network of percolation by using box counting algorithms. We find for d=2, Dmin= 1.136; Df= 1.7197 ; Dbb= 1.63. The numerical values of these exponents are in good agreement with recent theoretical predictions. .

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Cite this paper

@inproceedings{Skiadas2014NumericalCO, title={Numerical calculation of the infinite cluster and its backbone fractal dimension for a square network of percolation}, author={C H Skiadas and B Hadri and A Fatah and B Mebarki and A Benallou}, year={2014} }