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The role of fluctuation-dissipation relations (theorems) for the magnetization dynamics with Landau-Lifshitz-Gilbert and Bloch-Bloembergen damping terms are discussed. We demonstrate that the use of the Callen-Welton fluctuation-dissipation theorem, which was proven for Hamiltonian systems, can give an inconsistent result for magnetic systems with dissipation.
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Safonov et al. (2005) studied this question.
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