338 citations · 1.1k across the 17 of their papers we have counts for
17 papers
Application of the random matrix theory to the boson peak in glasses
D. A. Conyuh, Y. M. Beltukov, D. A. Parshin
The density of vibrational states of an amorphous system is studied by using the random-matrix theory. Taking into account the most important correlations between elements o…
Propagative and diffusive regimes of acoustic damping in bulk amorphous material
Y. M. Beltukov, D. A. Parshin, V. Giordano +1
In amorphous solids, a non-negligible part of thermal conductivity results from phonon scattering on the structural disorder. The conversion of acoustic energy into thermal energy…
Boson peak and Ioffe-Regel criterion in amorphous silicon-like materials: the effect of bond directionality
Y. M. Beltukov, C. Fusco, D. A. Parshin +1
The vibrational properties of model amorphous materials are studied by combining complete analysis of the vibration modes, dynamical structure factor and energy diffusivity with ex…
Transverse and longitudinal vibrations in amorphous silicon
Y. M. Beltukov, C. Fusco, A. Tanguy +1
We show that harmonic vibrations in amorphous silicon can be decomposed to transverse and longitudinal components in all frequency range even in the absence of the well defined wav…
The Ioffe-Regel criterion and diffusion of vibrations in random lattices
Y. M. Beltukov, V. I. Kozub, D. A. Parshin
We consider diffusion of vibrations in 3d harmonic lattices with strong force-constant disorder. Above some frequency w_IR, corresponding to the Ioffe-Regel crossover, notion of ph…
Sparse random matrices and vibrational spectra of amorphous solids
Y. M. Beltukov, D. A. Parshin
A random matrix approach is used to analyze the vibrational properties of amorphous solids. We investigated a dynamical matrix M=AA^T with non-negative eigenvalues. The matrix A is…