Non-Equilibrium Statistical Mechanics of Strongly Anharmonic Chains of Oscillators

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 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.

~60 pages, 3 figures

References in corpus (2)

• Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures
• Entropy Production in Non-Linear, Thermally Driven Hamiltonian Systems

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