Vibration properties of a percolating cluster
Open Access
- 1 January 1984
- journal article
- Published by EDP Sciences in Journal de Physique Lettres
- Vol. 45 (24) , 1155-1160
- https://doi.org/10.1051/jphyslet:0198400450240115500
Abstract
We present for the first time a numerical study of the vibrational modes of a percolating cluster of mass points connected by elastic bonds. The density of states is characterized by a power law behaviour in the fracton frequency regime, while a transition to a Debye type spectrum occurs at lower frequencies. We also find that the fracton states are weakly localized with a wide range of localization lengths while the states in the low frequency regime are extendedKeywords
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