Abstract
The thermodynamic properties of a classical d-dimensional spin- S Heisenberg ferromagnet, with long-range interactions decaying as r − p and in the presence of an external magnetic field, is investigated by means of the spectral density method in the framework of classical statistical mechanics. We find that long-range order exists at finite temperature for d< p<2 d with d⩽2 and for p> d with d>2, consistently with known theorems. Besides, the related critical temperature is determined and a study of the critical properties is performed.
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