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Damping and Spatial Distribution of Percolation Fractons

Published online by Cambridge University Press:  03 September 2012

S. Russ  and
B. Sapoval
S. Russ
Affiliation:
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique, 91128 Palaiseau Cédex, France
B. Sapoval
Affiliation:
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique, 91128 Palaiseau Cédex, France
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Abstract

The damping of the vibrations of very irregular discretized systems embedded in a viscous fluid is studied in the particular case of the vibrations of percolation clusters. We develop a formal description for the “regularity” of a vibrational mode. This permits us to measure numerically how the local fluctuations in the vibration amplitude contribute to the viscous damping. The fact that the regularity is found to be larger than that of a single localized state on a linear chain is indicative of the very structure of the percolation cluster made of blobs and red bonds.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 367: Symposium P – Fractal Aspects of Materials , 1994 , 243
Copyright
Copyright © Materials Research Society 1995

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References

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