Electronic Journal of Probability
- Electron. J. Probab.
- Volume 23 (2018), paper no. 55, 28 pp.
Non-equilibrium steady states for networks of oscillators
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.
Electron. J. Probab., Volume 23 (2018), paper no. 55, 28 pp.
Received: 16 January 2018
Accepted: 13 May 2018
First available in Project Euclid: 7 June 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 82C05: Classical dynamic and nonequilibrium statistical mechanics (general) 60H10: Stochastic ordinary differential equations [See also 34F05] 34C15: Nonlinear oscillations, coupled oscillators 60B10: Convergence of probability measures
Cuneo, Noé; Eckmann, Jean-Pierre; Hairer, Martin; Rey-Bellet, Luc. Non-equilibrium steady states for networks of oscillators. Electron. J. Probab. 23 (2018), paper no. 55, 28 pp. doi:10.1214/18-EJP177. https://projecteuclid.org/euclid.ejp/1528358489