Abstract
Analytic expressions are derived for the longitudinal sixth frequency moment of the spin correlation function for a dilute anisotropic Heisenberg paramagnet in the high-temperature limit. The results are valid for arbitrary spin and arbitrary range of the exchange interactions. Both site and exchange-bond dilution are treated. The latter is treated using two models introduced by Kawasaki and Tahir-Kheli (1978). In one the existence of longitudinal and transverse bonds depends only on a single random variable, whilst in the other they can fluctuate independently. As an application of the use of the moments, the extent to which pseudo-dipolar interactions can affect the high-temperature spin dynamics of a Heisenberg magnet is examined.
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