Correlation functions of the classical Heisenberg model. I. High temperature behaviour

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Abstract
The classical Heisenberg model, with one lattice and three spin dimensions, has recently been solved for general anisotropy in terms of ellipsoidal wavefunctions. These functions are used here to obtain exact expressions for the pair correlation functions and susceptibility in the three spin directions. Explicit formulae, valid at high temperatures, are derived for these quantities on the basis of known series expansions for ellipsoidal functions and it is shown that these formulae reduce to known results in the partially anisotropic and isotropic cases.

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