Special Session 80: Theory, numerical methods, and applications of stochastic systems and SDEs/SPDEs
Contents
In this talk I will present our new results on the nonequilibrium steady states (NESS) for a class of (stochastic) particle systems coupled to unequal heat baths. These stochastic models are derived from the mechanical chains studied by Eckmann and Young by randomizing certain quantities while retaining other features of the model. Our results include the existence and uniqueness of nonequilibrium steady states, their relation to Lebesgue measure, tail bounds on total energy and number of particles in the system, and exponential convergence to steady states from suitable initial conditions.