Fluctuating hydrodynamics for a chain of nonlinear stochastic oscillators
Abstract
We study macroscopic behavior of a chain of oscillators perturbed by some random noise, which admits three conservation laws. Particularly, we assume that the Hamiltonian dynamics of the oscillators is governed by a nonlinear potential that weakly perturbs the purely harmonic one. As a main result, we show that fluctuations of two phonon modes converge to the stochastic Burgers equations.
This talk is based on a joint work with Stefano Olla.