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- W2012646355 abstract "Computer simulation of the vibrational properties of a Sierpinski carpet are reported. From the computed density of states, we find the spectral dimension d~=1.6 and the presence of singularities attributed to edges of the Brillouin zones of the underlying Bravais lattice. Then, we present mode patterns showing a new form of «channeling wave» at weak disorder becoming Anderson-localized at strong disorder On presente des resultats sur les proprietes de vibrations d'un tapis de Sierpinski obtenus a partir de simulations numeriques. Du calcul de la densite d'etats on obtient la dimension spectrale d~=1.6: on observe aussi la presence de singularites associees aux bords de zones de Brillouin du reseau de Bravais sous-jacent. Puis, on presente des cartes de modes ou l'on voit un nouveau type d'onde «canalise» a faible desordre qui devient localise (au sens d'Anderson) a fort desordre" @default.
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- W2012646355 date "1989-01-01" @default.
- W2012646355 modified "2023-09-25" @default.
- W2012646355 title "Vibrations in regular and disordered fractals : from channeling waves to fractons" @default.
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- W2012646355 doi "https://doi.org/10.1051/jphys:0198900500220333100" @default.
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