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Ergodic Properties of the Non-Markovian Langevin Equation |
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| Authors: | JAKIŠĆ VOJKAN PILLET CLAUDE-ALAIN |
| Institution: | (1) Department of Mathematics, California Institute of Technology, Pasadena, CA, 91125, U.S.A.;(2) Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON, KIN 6N5, Canada;(3) Départment de Physique Théorique, Université de Genè, CH–1211 Genève 4, Switzerland |
| 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. |
| Keywords: | ergodic theory Langevin equation thermal relaxation return to equilibrium open systems Brownian motion |
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