Non-Equilibrium Steady States for Networks of Oscillators
Mathematical Physics
2018-05-28 v2 Statistical Mechanics
math.MP
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.
Keywords
Cite
@article{arxiv.1712.09413,
title = {Non-Equilibrium Steady States for Networks of Oscillators},
author = {Noé Cuneo and Jean-Pierre Eckmann and Martin Hairer and Luc Rey-Bellet},
journal= {arXiv preprint arXiv:1712.09413},
year = {2018}
}