Abstract
The relaxation-shape function F(k, omega ) for a diluted anisotropic paramagnet at elevated temperatures is studied. A semi-phenomenological representation of the relaxation-shape function is used. In this representation, a Gaussian choice for the memory function associated with the spin-velocity relaxation function is made that preserves all the frequency moments of F(k, omega ) up to and including the sixth. The sixth moment is evaluated with the aid of a computer for both site and bond disorder. For bond disorder two models previously studied by Kawasaki and Tahir-Kheli (1978) are adopted, one in which the existence of transverse and longitudinal bonds depends only on a single random variable, and a second in which these bonds can fluctuate independently. Both the longitudinal and transverse dynamics are studied and the results are compared with those obtained using a Gaussian representation of the generalised diffusivity.
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