The dynamical structure factor in topologically disordered systems

Victor Martin-Mayor 1, Marc Mézard 2, Giorgio Parisi 3, Paolo Verrocchio 4

Journal of Chemical Physics 114 (2001) 8068-8081

A computation of the dynamical structure factor of topologically disordered systems, where the disorder can be described in terms of euclidean random matrices, is presented. Among others, structural glasses and supercooled liquids belong to that class of systems. The computation describes their relevant spectral features in the region of the high frequency sound. The analytical results are tested with numerical simulations and are found to be in very good agreement with them. Our results may explain the findings of inelastic X-ray scattering experiments in various glassy systems.

  • 1. Dipartimento di Fisica,
    Università degli studi di Roma I – La Sapienza
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI – Paris Sud
  • 3. Dipartimento di Fisica, Sezione INFN and Unità INFM,
    Università degli studi di Roma I – La Sapienza
  • 4. Dipartimento di Fisica,
    Universita di Trento
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