Lagrangian approach and dissipative magnetic systems |
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Authors: | Thomas Bose Steffen Trimper |
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Institution: | Martin-Luther-University, Physics Department, Von-Seckendorff-Platz 1, 06114 Halle, Germany |
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Abstract: | A Lagrangian is introduced which includes the coupling between magnetic moments m and the degrees of freedom σ of a reservoir. In case the system-reservoir coupling breaks the time reversal symmetry the magnetic moments perform a damped precession around an effective field which is self-organized by the mutual interaction of the moments. The resulting evolution equation has the form of the Landau-Lifshitz-Gilbert equation. In case the bath variables are constant vector fields the moments m fulfill the reversible Landau-Lifshitz equation. Applying Noether?s theorem we find conserved quantities under rotation in space and within the configuration space of the moments. |
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Keywords: | Magnetization dynamics Semiclassical spin model Lagrangian approach |
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