Vibration properties of a percolating cluster

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 extended Presentation d'une etude numerique des modes de vibration pour des amas de percolation constitues de masselottes elastiquement connectees. La densite d'etats est caracterisee par une loi de puissance dans le regime de frequence fracton tandis qu'a plus basse frequence, on observe un spectre de type Debye. Les etats fractals sont faiblement localises, avec une grande dispersion dans les longueurs de localisation. Les etats de basse frequence correspondent a des etats etendus

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