title: Statistics and Properties of Low-Frequency Vibrational Modes in Structural Glasses.
abstract: Low-frequency vibrational modes play a central role in determining various basic properties of glasses, yet their statistical and mechanical properties are not fully understood. Using extensive numerical simulations of several model glasses in three dimensions, we show that in systems of linear size L sufficiently smaller than a crossover size L_{D}, the low-frequency tail of the density of states follows D(ω)∼ω^{4} up to the vicinity of the lowest Goldstone mode frequency. We find that the sample-to-sample statistics of the minimal vibrational frequency in systems of size L<L_{D} is Weibullian, with scaling exponents in excellent agreement with the ω^{4} law. We further show that the lowest-frequency modes are spatially quasilocalized and that their localization and associated quartic anharmonicity are largely frequency independent. The effect of preparation protocols on the low-frequency modes is elucidated, and a number of glassy length scales are briefly discussed.
authors.affiliation: Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands.
authors.forename: Edan
authors.initials: E
authors.lastname: Lerner
authors.affiliation: Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, Santiago, Chile.
authors.forename: Gustavo
authors.initials: G
authors.lastname: Düring
authors.affiliation: Chemical Physics Department, Weizmann Institute of Science, Rehovot 7610001, Israel.
authors.forename: Eran
authors.initials: E
authors.lastname: Bouchbinder