Energy diffusion and superdiffusion in oscillators lattice networks

TL;DR

This paper reviews recent findings on how energy spreads in oscillator chains, focusing on thermal conductivity and the phenomena of diffusion and superdiffusion under energy- and momentum-conserving noise.

Contribution

It provides a synthesis of recent results on energy transport behaviors in oscillator lattices with conserved quantities.

Findings

Identification of conditions leading to normal and superdiffusive energy transport

Insights into the role of conserved quantities in thermal conductivity

Comparison of theoretical predictions with numerical simulations

Abstract

I review here some recent result on the thermal conductivity of chains of oscillators whose hamiltonian dynamics is perturbed by a noise conserving energy and momentum.