Title: Exotic marginal fractals from hierarchical random deposition
Authors: Indekeu, Joseph ×
Fleerackers, Gunther
Posazhennikova, AI
Bervoets, E #
Issue Date: 2000
Series Title: Physica. A: Statistical and theoretical physics vol:285 issue:1-2 pages:135-146
Conference: date:Katholieke Univ Leuven, Lab Vaste Stoffys & Magnet, B-3001 Louvain, Belgium
Abstract: We study marginal forms on the borderline between Euclidean shapes and fractals. The fractal dimension equals the topological dimension. The fractal measure features a logarithmic correction factor, leading to a linear divergence of the area or length upon increasing the resolution instead of the usual exponential law for fractals. We discuss a physical model of random deposition of particles or fragments obeying a strict size hierarchy. The landscapes resulting from this deposition process resemble modem cities and satisfy the logarithmic fractal law. The roughness of the shapes is characterized by a fractal amplitude, which can be calculated exactly as a function of the (time-dependent) probabilities and rescaling factor of the random deposition process. Besides possible realizations in particle or cluster deposition physics and colloid physical chemistry, an application to the science of porous media in the plane is described. (C) 2000 Elsevier Science B.V. All rights reserved.
ISSN: 0378-4371
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Solid State Physics and Magnetism Section
Department of Health and Technology - UC Leuven
× corresponding author
# (joint) last author

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