Equilibrium fluctuation and spectral gap for a chain of anharmonic oscillators
九州確率論セミナー
開催期間
2017.5.19(金)
16:00 ~ 17:30
16:00 ~ 17:30
場所
九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-D-725
講演者
Lu Xu (Kyushu University)
概要
Abstract:
In this talk, we consider a one dimensional chain of anharmonic oscillators. The microscopic time evolution is given by a system of Hamilton equations perturbed by noises preserving the total energy as well as the total momentum. We discuss its equilibrium fluctuation under hyperbolic space-time scale (εx,εt), and also present an estimate on the spectral gap corresponding to the random part which is useful for further discussion.(A joint work with S. Olla, Université Paris-Dauphine)