Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical MechanicsCommunications in Mathematical Physics (2001)
AbstractWe continue the study of a model for heat conduction  consisting of a chain of non-linear oscillators coupled to two Hamiltonian heat reservoirs at different temperatures. We establish existence of a Liapunov function for the chain dynamics and use it to show exponentially fast convergence of the dynamics to a unique stationary state. Ingredients of the proof are the reduction of the infinite dimensional dynamics to a finite-dimensional stochastic process as well as a bound on the propagation of energy in chains of anharmonic oscillators.
Publication DateJanuary 1, 2001
Citation InformationL Rey-Bellet and L Thomas. "Exponential Convergence to Non-Equilibrium Stationary States in Classical Statistical Mechanics" Communications in Mathematical Physics Vol. 255 Iss. 2 (2001)
Available at: http://works.bepress.com/luc_rey_bellet/9/