A system of Hamilton equations of motions for the ideal nonconducting magnetic fluid with the Landau–Lifshitz equation for the magnetization vector is constructed based on the functional of total energy derived in this work and the Poisson bracket method.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 68–72, July, 2010.
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Sokolov, V.V., Fotov, K.N. & Eminov, P.A. The Hamilton equations of ferrohydrodynamics with the Landau–Lifshitz equation for magnetization. Russ Phys J 53, 732–737 (2010). https://doi.org/10.1007/s11182-010-9479-x
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DOI: https://doi.org/10.1007/s11182-010-9479-x