Polynomial convergence rate to nonequilibrium steady-state

Applied and Computational Mathematics Seminar
Monday, March 13, 2017 - 14:00
1 hour (actually 50 minutes)
Skiles 005
University of Massachusetts Amherst
In this talk I will present my recent result about the ergodic properties of nonequilibrium steady-state (NESS) for a stochastic energy exchange model. The energy exchange model is numerically reduced from a billiards-like deterministic particle system that models the microscopic heat conduction in a 1D chain. By using a technique called the induced chain method, I proved the existence, uniqueness, polynomial speed of convergence to the NESS, and polynomial speed of mixing for the stochastic energy exchange model. All of these are consistent with the numerical simulation results of the original deterministic billiards-like system.