Percolation with long-range correlated disorder.

Schrenk KJ; Posé N; Kranz JJ; van Kessenich LV; Araújo NA; Herrmann HJ

doi:10.1103/PhysRevE.88.052102

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Journal article

Percolation with long-range correlated disorder.

Schrenk KJ Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.
Posé N Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.
Kranz JJ Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.
van Kessenich LV Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.
Araújo NA Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland.
Herrmann HJ Computational Physics for Engineering Materials, Institute for Building Materials, ETH Zurich, Wolfgang-Pauli-Strasse 27, CH-8093 Zurich, Switzerland and Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil.

2013-12-17

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Physical review. E, Statistical, nonlinear, and soft matter physics. - 2013

Statistical and Nonlinear Physics

English Long-range power-law correlated percolation is investigated using Monte Carlo simulations. We obtain several static and dynamic critical exponents as functions of the Hurst exponent H, which characterizes the degree of spatial correlation among the occupation of sites. In particular, we study the fractal dimension of the largest cluster and the scaling behavior of the second moment of the cluster size distribution, as well as the complete and accessible perimeters of the largest cluster. Concerning the inner structure and transport properties of the largest cluster, we analyze its shortest path, backbone, red sites, and conductivity. Finally, bridge site growth is also considered. We propose expressions for the functional dependence of the critical exponents on H.

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