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Apollonian packings as physical fractals

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Catalytic activity of FeZSM-5 zeolites in benzene hydroxylation by N2O: The role of geometry characterized by fractal dimensions

Lioubov Kiwi

The fractal dimensions of FeZSM-5 zeolites were used to characterize the change in their geometry depending on different post-synthesis treatments. The fractal dimension values were estimated from the Dubinin-Astakhov isotherms of nitrogen adsorption and r ...

2005

Characterization techniques for antennas with highly convoluted topologies

Maria Eugenia Cabot Barja

The present work has been focused on the development of analytical and numerical techniques for the analysis of highly convoluted antennas and microwave devices including fractal shaped antennas. The accurate prediction of the frequency response of a high- ...

EPFL2005

Finite-element analysis of contact between elastic self-affine surfaces

Jean-François Molinari

Finite-element methods are used to study nonadhesive, frictionless contact between elastic solids with self-affine surfaces. We find that the total contact area rises linearly with the load at small loads. The mean pressure in the contact regions is indepe ...

American Physical Society2004

Thermodynamics of fractal networks

Andrea Rinaldo, Amos Maritan

Optimal channel networks are fractal structures that bear a striking resemblance to real rivers. They are obtained by minimizing an energy functional associated with spanning trees. We show that large network development effectively occurs al zero temperat ...

1996

Self-Organized River Basin Landscapes - Fractal and Multifractal Characteristics

Andrea Rinaldo

In recent years a new theory of the evolution of drainage networks and associated landscapes has emerged, mainly in connection with the development of fractal geometry and of self-organized criticality (SOC) concepts. This theory has much improved our unde ...

1994

Self-Organized Fractal River Networks

Andrea Rinaldo

Optimal channel networks (OCN's) obtained by minimizing the local and global rates of energy expenditure evolve automatically from arbitrary initial conditions to network configurations exhibiting fractal and multifractal statistics indistinguishable from ...

1993

Fractal Structures as Least Energy Patterns - the Case of River Networks

Andrea Rinaldo

Natural drainage networks, like river basins, exhibit fractal and multifractal properties. This work shows that these properties evolve from arbitrary initial conditions by minimizing the local and global rates of energy expenditure in the system. This sug ...

1992

Minimum Energy and Fractal Structures of Drainage Networks

Andrea Rinaldo

This paper explores the similarities of digital elevation maps (DEMs) of natural river basins and optimal channel network (OCN) configurations obtained minimizing the total rate of energy expenditure in the system as a whole and in its parts. Striking simi ...

1992