Vibrations in glasses and Euclidean Random Matrix theory
arXiv:cond-mat/0110441 · doi:10.1088/0953-8984/14/9/306
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.
11 pages, 7 postscript figures, Proceedings of Statphys 21