Tokyo Probability Seminar

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Monday 16:00 - 17:30 126Room #126 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Makiko Sasada, Shuta Nakajima

2017/07/03

16:00-17:30   Room #126 (Graduate School of Math. Sci. Bldg.)
Lu Xu (Faculty of Mathematics, Kyushu University)
Equilibrium fluctuation for a chain of anharmonic oscillators (JAPANESE)
[ Abstract ]
A chain of oscillators is a particle system whose microscopic time evolution is given by Hamilton equations with various kinds of conservative noises. Mathematicians and physicians are interested in its macroscopic behaviors (ε → 0) under different space-time scales: ballistic (hyperbolic) (εx, εt), diffusive (εx, ε^2t) and superdiffusive (εx, ε^αt) for 1 < α < 2. In this talk, we consider a 1-dimensional chain of anharmonic oscillators perturbed by noises preserving the total momentum as well as the total energy. We present a result about the hyperbolic scaling limit of its equilibrium fluctuation as well as some further discussions. (A joint work with S. Olla, Université Paris-Dauphine)