Modelling porous structures by repeated Sierpinski carpets

DOI10.1016/S0378-4371(00)00573-2zbMath0972.37034OpenAlexW2088688255MaRDI QIDQ1841368

Sujata Tarafdar, Christian Schulzky, Astrid Franz, Karl Heinz Hoffmann

Publication date: 27 February 2001

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4371(00)00573-2

zbMATH Keywords

iterationanomalous diffusiondeterminisitc fractal generators

Mathematics Subject Classification ID

Random dynamical systems (37H99)

Related Items (8)

The modeling of electrical property in porous media based on fractal leaf vein network ⋮ TRIANGULAR LABYRINTH FRACTALS ⋮ Thin Loewner Carpets and Their Quasisymmetric Embeddings in S² ⋮ Simulated fractal permeability for porous membranes ⋮ Diffusion of oriented particles in porous media ⋮ On the length of arcs in labyrinth fractals ⋮ Connected generalised Sierpiński carpets ⋮ Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity

Cites Work

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• The Einstein relation for finitely ramified Sierpinski carpets
• Bi-asymptotic fractals: Fractals between lower and upper bounds
• Resistance scaling and random walk dimensions for finitely ramified Sierpinski carpets
• Scaling exponents for random walks on Sierpinski carpets and number of distinct sites visited: a new algorithm for infinite fractal lattices
• Stochastic Problems in Physics and Astronomy
• Random walks on finitely ramified Sierpinski carpets

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