Applications of Percolation Theory

By M. Sahini, Muhammad Sahimi. Applied Mathematical Sciences, 2023

524 citations recorded by the source corpus.

Connectivity as the Essential Physics of Disordered Systems Elements of Percolation Theory Characterization of Porous Media Earthquakes, and Fracture and Fault in Patterns in Heterogeneous Rock Single-Phase Flow in Reservoir Rock Hydrodynamic Dispersion and Groundwater Flow in Rock Two-Phase Flow in Porous Media Transport, Reaction, and Deposition in Evolving Porous Media Fractal Diffusion and Reaction Kinetics Vibrations and Density of States of Disordered Materials Structural, Mechanical, and Rheological Properties of Branched Polymers and Gels Morphological and Transport Properties of Composite Media Hopping Conductivity of Semiconductors Percolation in Biological Systems.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/84ec03f9cd067360080e7dbe87cbdb75a10a7636

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In Discrete Mathematics and Combinatorics

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Citations in the corpus

• Unsaturated hydraulic conductivity modeling for porous media with two fractal regimes (2013, methodology): “Thus, physically-based modern methods, such as percolation theory (Hunt and Ewing, 2009; Sahimi, 1994; Stauffer and Aharony, 1992), effective medium approach (Bernasconi, 1974; Kirkpatrick, 1971, 1973), perturbation theory (Rubin, 2003), and renormalization group theory (Bernasconi, 1978; Fisher, 19”