Abstract
The relaxation-shape function F(k, omega ) for a diluted isotropic Heisenberg magnet at elevated temperatures is studied. A semi-phenomenological representation of the relaxation-shape function is employed in which a Gaussian choice for the memory function associated with the spin-velocity relaxation function is made which preserves all the frequency moments of F(k, omega ), up to and including the sixth. The relaxation-shape function is examined for several concentrations in the case of simple, body-centred and face-centred cubic lattices with nearest-neighbour interactions and the results are compared to those of Tahir-Kheli and Kawasaki (1975-1977); which are based on a Gaussian representation of the generalised diffusivity. In addition, the effect of extending the range of interaction to include next-nearest neighbour exchange is examined and the variation of the diffusion constant with concentration is studied.
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