Diffusive behavior in completely integrable infinite dynamics

par M. Stefano Olla (CEREMADE, Dauphine PSL)

jeudi 2 févr. 2023, 14:00 → 15:00 Europe/Paris

435 (ENS de Lyon)

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 browian 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).