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research article
Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators
January 1, 2000
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 [EPR99a, EPR99b] to potentials with essentially arbitrary growth at infinity. This extension is possible by introducing a stronger version of Hörmander's theorem for Kolmogorov equations to vector fields with polynomially bounded coefficients on unbounded domains.
Type
research article
Scopus ID
2-s2.0-0034349280
Authors
Publication date
2000-01-01
Published in
Volume
212
Issue
1
Start page
105
End page
164
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 17, 2024
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