English

Vibrations in glasses and Euclidean Random Matrix theory

Condensed Matter 2009-11-07 v1

Abstract

We study numerically and analytically a simple off-lattice model of scalar harmonic vibrations by means of Euclidean random matrix theory. Since the spectrum of this model shares the most puzzling spectral features with the high-frequency domain of glasses (non-Rayleigh broadening of the Brillouin peak, boson peak and secondary peak), the Euclidean random matrix theory provide a single and fairly simple theoretical framework to their explanation.

Keywords

Cite

@article{arxiv.cond-mat/0110441,
  title  = {Vibrations in glasses and Euclidean Random Matrix theory},
  author = {T. S. Grigera and V. Martin-Mayor and G. Parisi and P. Verrocchio},
  journal= {arXiv preprint arXiv:cond-mat/0110441},
  year   = {2009}
}

Comments

11 pages, 7 postscript figures, Proceedings of Statphys 21

R2 v1 2026-07-22T10:29:08.056Z