Vibrations in glasses and Euclidean Random Matrix theory

Details Vibrations in glasses and Euclidean Random Matrix theory Vibrations in glasses and Euclidean Random Matrix theory

2001-10-21

arxiv.org/abs/cond-mat/0110441v1

J.Phys.:Condens. Matter 14 (2002) 2167-2179

Physics

Condensed Matter

11 pages, 7 postscript figures, Proceedings of Statphys 21

Scientific paper

10.1088/0953-8984/14/9/306

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.

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