Grigera, T.S.Martín Mayor, VíctorParisi, G.Verrocchio, P.2023-06-202023-06-202001-08-200031-900710.1103/PhysRevLett.87.085502https://hdl.handle.net/20.500.14352/60324© 2001 The American Physical Society. We thank J. L. Alonso, L. A. Fernández, and S. A. Grigera for critical reading of the manuscript. We acknowledge partial support from CICyT, M.E.C. (Spain) (V. M. M), European Commission (V. M. M), and CONICET (Argentina) (T. S. G).The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the particles oscillate around randomly distributed centers, interacting through a generic pair potential. We present results of a resummation of the perturbative expansion in the inverse particle density for the dynamic structure factor and density of states. This gives accurate results for the range of densities found in real systems.engjournal articlehttp://dx.doi.org/10.1103/PhysRevLett.87.085502https://journals.aps.orgopen access53Frequency propagating modesInstantaneous normal-modesGlass-forming liquidsVitreous silicaDynamicsSoundApproximationLocalizationExitationsRelaxation.Física-Modelos matemáticos