Altmetric

Non-equilibrium steady states for networks of oscillators

File Description SizeFormat 
euclid.ejp.1528358489.pdfPublished version442.19 kBAdobe PDFView/Open
Title: Non-equilibrium steady states for networks of oscillators
Authors: Cuneo, N
Eckmann, J-P
Hairer, M
Rey-Bellet, L
Item 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.
Issue Date: 7-Jun-2018
Date of Acceptance: 13-May-2018
URI: http://hdl.handle.net/10044/1/60789
DOI: https://dx.doi.org/10.1214/18-EJP177
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/Funder: The Leverhulme Trust
Funder's Grant Number: RL-2012-020-Transfer In
Keywords: 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
math-ph
cond-mat.stat-mech
math.MP
0104 Statistics
Publication Status: Published
Article Number: 55
Online Publication Date: 2018-06-07
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx