- 99-356 Jean-Pierre Eckmann, Martin Hairer
- Non-Equilibrium Statistical Mechanics
of Strongly Anharmonic Chains of Oscillators
Sep 24, 99
(auto. generated ps),
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Abstract. We study the model of a strongly non-linear chain of particles
coupled to two heat baths at different temperatures. Our main result is the
existence and uniqueness of a stationary state at all temperatures.
This result extends those of Eckmann, Pillet, Rey-Bellet
with essentially arbitrary growth at infinity.
This extension is possible by introducing a stronger version
of H\"ormander's theorem for Kolmogorov equations to vector fields
with polynomially bounded coefficients on unbounded domains.