Computer Investigation of the Influence of the Internal Structure Topology on the Percolation Process in Two- and Three-Dimensional Inhomogeneous Systems
In our work the percolation process in two- and three-dimensional inhomogeneous lattices is studied. The inhomogeneous lattice is simulated by a random distribution of obstacles differing in size and number. The influence of obstacles on the parameters (critical concentration, average number of sites in finite clusters, percolation probability, critical exponents, and fractal and spectral dimensions of a finite cluster) characterizing the percolation in the system is analyzed. It is demonstrated that all these parameters essentially depend on the linear size and relative area of the obstacles.
KeywordsFractal Dimension Critical Exponent Critical Concentration Linear Size Computer Investigation
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