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Stochastic models of Brownian motion of a spin are discussed. If a frictional resistance is assumed to accompany the random field causing Brownian motion, the stochastic equation of spin motion leads to a Fokker-Planck equation which guarantees approach to thermal equilibrium. With a Landau-Lifshitz type friction assumed, the average magnetic moment is shown to obey the Bloch equation.
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Kubo et al. (1970) studied this question.
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