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Article Dans Une Revue Letters in Mathematical Physics Année : 1997

Ergodic Properties of the Non-Markovian Langevin Equation

Résumé

We discuss the dissipative dynamics of a classical particle coupled to an infinitely extended heat reservoir. We announce a number of results concerning the ergodic properties of this model. The novelty of our approach is that it extends beyond Markovian dynamics to the case where the Langevin equation is driven by colored noise. Our method works in arbitrary space dimension, and for fully nonlinear systems.

Dates et versions

hal-00005456 , version 1 (19-06-2005)

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Claude-Alain Pillet, Vojkan Jaksic. Ergodic Properties of the Non-Markovian Langevin Equation. Letters in Mathematical Physics, 1997, 41, pp.49 - 57. ⟨10.1023/A:1007307617547⟩. ⟨hal-00005456⟩
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