Time-Dependent Properties of an Isotopically Disordered Lattice

Publisher Website
Google Scholar
Abstract
An investigation is made of the dynamical and the statistical dynamical behaviors of a harmonic crystal lattice containing isotopes. From equations of motion for the displacement of atoms from their equilibrium positions, integral equations are derived on the one hand, and exact expressions for propagators or velocity correlation functions are obtained on the other hand, through the cosine transform of the spectra of the correlation functions. In the latter case, the results are applied to one- and two-impurity problems. It is shown that a close relation exists between the spectra and the frequency spectrum, particularly in the case of a random distribution of isotopes; the auto-correlation function is evaluated from the frequency spectrum.

This publication has 0 references indexed in Scilit: