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講演会
過去の記録 ～04/24｜次回の予定｜今後の予定 04/25～
2023年02月09日(木)
15:00-16:30 数理科学研究科棟(駒場) 122号室
Stefano Olla 氏 (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)
Stefano Olla 氏 (Dauphine大学)
Diffusive behavior in completely integrable infinite dynamics (English)
[ 講演概要 ]
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).
