Brownian motion of spins; generalized spin Langevin equation

Jayannavar, A. M. (1991) Brownian motion of spins; generalized spin Langevin equation Zeitschrift fur Physik B Condensed Matter, 82 (1). pp. 153-156. ISSN 0722-3277

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Official URL: http://www.springerlink.com/content/p57h1n10l0g234...

Related URL: http://dx.doi.org/10.1007/BF01313998

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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