Zeitschrift für Physik B Condensed Matter

, Volume 82, Issue 1, pp 153–156 | Cite as

Brownian motion of spins; generalized spin Langevin equation

  • A. M. Jayannavar


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.


Spectroscopy Neural Network State Physics Complex System Brownian Motion 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • A. M. Jayannavar
    • 1
  1. 1.International Centre for Theoretical PhysicsTriesteItaly

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