Diffusion of energy in chains of oscillators with bulk noise

TL;DR

This paper discusses how energy diffuses in chains of oscillators with added stochastic noise, highlighting conditions for normal and anomalous diffusion behaviors.

Contribution

It provides a detailed analysis of energy diffusion mechanisms in oscillator chains with energy-conserving stochastic perturbations, expanding understanding of anomalous diffusion phenomena.

Findings

Identification of conditions leading to normal diffusion

Characterization of anomalous diffusion regimes

Insights into stochastic perturbation effects on energy transport

Abstract

These notes are based on a mini-course given during the conference Particle systems and PDE's - II which held at the Center of Mathematics of the University of Minho in December 2013. We discuss the problem of normal and anomalous diffusion of energy in systems of coupled oscillators perturbed by a stochastic noise conserving energy.