Vibrational density of states of amorphous solids with long-ranged power-law correlated disorder in elasticity
Bingyu Cui,
Alessio Zaccone
Abstract:A theory of vibrational excitations based on power-law spatial correlations in the elastic constants (or equivalently in the internal stress) is derived, in order to determine the vibrational density of states D(ω) of disordered solids. The results provide the first prediction of a boson peak in amorphous materials where spatial correlations in the internal stresses (or elastic constants) are of power-law form, as is often the case in experimental systems, leading to logarithmic enhancement of (Rayleigh) phono… Show more
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