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Invasion Percolation Quantities on Correlated Networks

Author

Listed:
  • 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;
    CRICyT (CONICET) C. C. 131 - 5500 Mendoza, 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)

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.

Suggested Citation

  • A. M. Vidales & E. Miranda & G. Zgrablich, 1998. "Invasion Percolation Quantities on Correlated Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(06), pages 827-836.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:06:n:s0129183198000765
    DOI: 10.1142/S0129183198000765
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    Keywords

    Percolation; Porous; Simulation;
    All these keywords.

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