Non-Equilibrium Steady States for Networks of Oscillators

Abstract

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how some of the results extend to more complicated networks. We establish the existence and uniqueness of the non-equilibrium steady state, and show that the system converges to it at an exponential rate. The arguments are based on controllability and conditions on the potentials at infinity.

References in corpus (2)

• On the relaxation rate of short chains of rotors interacting with Langevin thermostats
• A note on Harris' ergodic theorem, controllability and perturbations of harmonic networks

Cited by in corpus (11)

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• A Detailed Fluctuation Theorem for Heat Fluxes in Harmonic Networks out of Thermal Equilibrium
• Thermalization of isolated harmonic networks under conservative noise
• Glassy dynamics in strongly anharmonic chains of oscillators
• Existence of a Non-Equilibrium Steady State for the Non-linear BGK equation on an interval
• Ergodicity bounds for stable Ornstein-Uhlenbeck systems in Wasserstein distance with applications to cutoff stability
• Energy growth for systems of coupled oscillators with partial damping
• Phase space contraction of degenerately damped random splittings