Brownian motion of spins; generalized spin Langevin equation |
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Authors: | A M Jayannavar |
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Institution: | (1) International Centre for Theoretical Physics, P.O. Box 586, I-34100 Trieste, Italy;(2) Present address: Department of Physics, Indian Institute of Science, 560012 Bangalore, India |
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Abstract: | We derive the Langevin equations for a spin interacting with a heat bath, starting from a fully dynamical treatment. The obtained equations are non-Markovian with multiplicative fluctuations and concommitant dissipative terms obeying the fluctuation-dissipation theorem. In the Markovian limit our equations reduce to the phenomenological equations proposed by Kubo and Hashitsume. The perturbative treatment on our equations lead to Landau-Lifshitz equations and to other known results in the literature. |
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