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Lectures
Seminar information archive ～04/18｜Next seminar｜Future seminars 04/19～
2023/02/09
15:00-16:30 Room #122 (Graduate School of Math. Sci. Bldg.)
Stefano Olla (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)
Stefano Olla (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)
[ Abstract ]
We investigate the macroscopic behaviour of the density fluctuations of a one dimensional dynamics of hard rods with random length. After recentering on the effective velocity the density fluctuations of particles of a given velocity v will evolve on the diffusive scaling driven by a brownian motion with a diffusivity depending on v. This rigid evolution of fluctuations is expected in other completely integrable systems (Box-Ball, Toda Lattice,..), in contrast with the behavior in chaotic dynamics.
Joint work with Pablo Ferrari (U. Buenos Aires).
We investigate the macroscopic behaviour of the density fluctuations of a one dimensional dynamics of hard rods with random length. After recentering on the effective velocity the density fluctuations of particles of a given velocity v will evolve on the diffusive scaling driven by a brownian motion with a diffusivity depending on v. This rigid evolution of fluctuations is expected in other completely integrable systems (Box-Ball, Toda Lattice,..), in contrast with the behavior in chaotic dynamics.
Joint work with Pablo Ferrari (U. Buenos Aires).
