Vibrational spectrum of topologically disordered systems - art. no. 085502

The topological nature of the disorder of glasses and supercooled liquids s trongly affects their high-frequency dynamics. In order to understand its m ain features, we analytically studied a simple topologically disordered mod el, where the particles oscillate around randomly distributed centers, inte racting through a generic pair potential. We present results of a resummati on of the perturbative expansion in the inverse particle density for the dy namic structure factor and density of states. This gives accurate results f or the range of densities found in real systems.