Dynamical structure factor in disordered systems

We study the spectral width as a function of the external momentum for the dynamical structure factor of a disordered harmonic solid, considered as a toy model for supercooled liquids and glasses. In the contexts of both the single-link coherent potential approximation and a single-defect approximat...

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Detalles Bibliográficos
Autores: Martín Mayor, Víctor, Parisi, G., Verrocchio, P.
Tipo de recurso: artículo
Fecha de publicación:2000
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60329
Acceso en línea:https://hdl.handle.net/20.500.14352/60329
Access Level:acceso abierto
Palabra clave:53
Frequency propagating modes
Instantaneous normal-modes
Spectral moments method
Vitreous silica
Medium approximation
LIquids
Scattering
Glass
Localization
Phonons.
Física-Modelos matemáticos
Descripción
Sumario:We study the spectral width as a function of the external momentum for the dynamical structure factor of a disordered harmonic solid, considered as a toy model for supercooled liquids and glasses. In the contexts of both the single-link coherent potential approximation and a single-defect approximation, two different regimes are clearly identified: if the density of states at zero energy is zero, the usual p^(4) law is recovered for small momentum. On the contrary, if the disorder induces a nonvanishing density of states at zero energy, a linear behavior is obtained. The dynamical structure factor is numerically calculated in lattices as large as 96^(3) and satisfactorily agrees with the analytical computations.