### Polynomial convergence rate to nonequilibrium steady-state

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, March 13, 2017 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Prof. Yao Li – University of Massachusetts Amherst – yaoli@math.umass.edu

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.