Abstract
The amplitude correlation function of force-constant-disordered harmonic chains is evaluated numerically, using a two-sided gaussian elimination procedure to calculate the elements of the corresponding Green function. Calculations were done for a variety of chains with different types of disorder. For completely random chains the amplitude correlations have the form of an exponentially decaying spatial harmonic wave, displaying a monotonic decrease from a wave extending over several hundred sites at low frequencies ( omega approximately 0.1(K)) to a strongly localised wave over few sites at high frequencies. For partially ordered chains consisting of two types of clusters-two kinds of bonds between the atoms-the amplitude correlations exhibit in addition non-uniform oscillations depending on the cluster size relative to the wavelength. For chains consisting mainly of relatively large clusters of one type connected by bonds of a different kind, the wave train of amplitudes extends across the bonds to distances that increase when the strength of the coupling (the bonds) between the clusters increases.
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