Abstract

Abstract The correlation functions of density fluctuations associated with the particle-hole pairs in the intraband and interband are calculated. The correlation functions for the intraband yield the sound velocity (proportional to the mean atomic velocity) and diffusion (equal to the relaxation time of atoms multiplied by the square of the sound velocity). Those for the interband yield phonons and viscosity (equal to the Maxwell relaxation time multiplied by the square of the phonon velocity). Diffusion, viscosity, sound velocity, the mean atomic velocity and relaxation times obey the Vogel-Fulcher law. Phonons exist in both phases, but sound disappears below the freezing point.

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