Macroscopic diffusive fluctuations for generalized hard rods dynamics

PABLO A. FERRARI; STEFANO OLLA

Arxiv

Cornell University

Lugar: Cornell; Año: 2023

We study the fluctuations in equilibrium for a dynamics of rods with random length. This includes the classical hard rod elastic collisions, when rod lengths are constant and equal to a positive value. We prove that in the diffusive space-time scaling, an initial fluctuation of density of particles of velocity v, after recentering on its Euler evolution, evolve randomly shifted by a Brownian motion of variance (v).