Abstract
Analytic solutions of the Weiss mean field equation are obtained using an approximant of the inverse Langevin function. These solutions provide temperature dependencies of the magnetization and the magnetic susceptibility typical of the classical Weiss mean field model. It is interesting that the approximate cubic equation, studied in the work, is very close to that derived by the differentiation of the exact Weiss mean field equation. These equations coincide in the low temperature limit.
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