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Invasion Percolation Quantities on Correlated Networks

A. M. Vidales (), E. Miranda and G. Zgrablich
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A. M. Vidales: Departamento de Física, CONICET y Centro Latinoamericano de Estudios Ilya Prigogine, Universidad Nacional de San Luis C.C. 136 - 5700 San Luis, Argentina
E. Miranda: Departamento de Física, CONICET y Centro Latinoamericano de Estudios Ilya Prigogine, Universidad Nacional de San Luis C.C. 136 - 5700 San Luis, Argentina;
G. Zgrablich: Departamento de Física, CONICET y Centro Latinoamericano de Estudios Ilya Prigogine, Universidad Nacional de San Luis C.C. 136 - 5700 San Luis, Argentina

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 06, 827-836

Abstract: Invasion percolation is studied on correlated square networks described through a site-bond model which has proven to be useful for the characterization of real heterogeneous media. It is shown how the correlation degree affects the mean front velocity, the number of islands of trapped defender fluid (which are completely surrounded by invaded elements), their size distribution and total number of steps to reach the final state. The correlation degree seems to affect the fractal dimension of the percolating cluster. A characteristic correlation length is found to exist which maximizes the mean invasion velocity.

Keywords: Percolation; Porous; Simulation (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000765

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