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Ergodic Properties of the Non-Markovian Langevin Equation

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125, U.S.A.

    VOJKAN JAKIŠĆ

  2. Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, KIN 6N5, Canada

    VOJKAN JAKIŠĆ

  3. Départment de Physique Théorique, Université de Genè, CH–1211, Genève 4, Switzerland

    CLAUDE-ALAIN PILLET

Authors
  1. VOJKAN JAKIŠĆ
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  2. CLAUDE-ALAIN PILLET
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JAKIŠĆ, V., PILLET, CA. Ergodic Properties of the Non-Markovian Langevin Equation. Letters in Mathematical Physics 41, 49–57 (1997). https://doi.org/10.1023/A:1007307617547

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  • DOI: https://doi.org/10.1023/A:1007307617547

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