東京確率論セミナー

開催情報 月曜日　16:00～17:30　数理科学研究科棟(駒場) 126号室 佐々田 槙子, 久保田 直樹 (日本大学), 星野 壮登 (早稲田大学)

2017年07月03日(月)

16:00-17:30   数理科学研究科棟(駒場) 126号室

Equilibrium fluctuation for a chain of anharmonic oscillators (JAPANESE)
[ 講演概要 ]
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)