Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 212, Issue 1, Pages 105-164Publisher
SPRINGER
DOI: 10.1007/s002200000216
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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 Hormander's theorem for Kolmogorov equations to vector fields with polynomially bounded coefficients on unbounded domains.
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