Non-equilibrium steady states for networks of oscillators
File(s)
Published version
Author(s)
Cuneo, Noe
Eckmann, Jean-Pierre
Hairer, Martin
Rey-Bellet, Luc
Type
Journal Article
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.
Date Issued
2018-06-07
Date Acceptance
2018-05-13
Citation
Electronic Journal of Probability, 2018, 23
ISSN
1083-6489
Publisher
Institute of Mathematical Statistics
Journal / Book Title
Electronic Journal of Probability
Volume
23
Copyright Statement
© 2018 Project Euclid. This is an open access article under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0/).
Sponsor
The Leverhulme Trust
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000434456200011&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
RL-2012-020-Transfer In
Subjects
Science & Technology
Physical Sciences
Statistics & Probability
Mathematics
non-equilibrium statistical mechanics
networks of oscillators
geometric ergodicity
Hormander's condition
Lyapunov functions
2 HEAT BATHS
STATISTICAL-MECHANICS
HAMILTONIAN-SYSTEMS
ANHARMONIC CHAINS
ERGODICITY
DIFFUSIONS
Publication Status
Published
Article Number
55
Date Publish Online
2018-06-07