May 31, 2023 to June 2, 2023
Bâtiment 774
Europe/Paris timezone
The conference will be recorded for IPhT Youtube Channel & can be followed by Zoom

Stefano OLLA - Diffusive behavior in completely integrable infinite dynamics

May 31, 2023, 11:30 AM
45m
Amphithéâtre Bloch (Bâtiment 774)

Amphithéâtre Bloch

Bâtiment 774

CEA, Orme des Merisiers Bat 774, 91191 Gif-sur-Yvette

Speaker

Stefano OLLA (Dauphine)

Description

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 on the diffusive space-time scaling will evolve 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 where space-time white noise appears in the evolution equations.
Joint work with Pablo Ferrari (U. Buenos Aires).

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