Séminaire de Probabilités commun ICJ/UMPA

Diffusive behavior in completely integrable infinite dynamics

by Mr Stefano Olla (CEREMADE, Dauphine PSL)

435 (ENS de Lyon)


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).