Energy Diffusion in Harmonic System with Conservative Noise

Abstract

We prove diffusive behaviour of the energy fluctuations in a system of harmonic oscillators with a stochastic perturbation of the dynamics that conserves energy and momentum. The results concern pinned systems or lattice dimension $d\ge 3$, where the thermal diffusivity is finite.

References in corpus (3)

• A momentum conserving model with anomalous thermal conductivity in low dimension
• Energy transport in stochastically perturbed lattice dynamics
• Macroscopic energy diffusion for a chain of anharmonic oscillators

Cited by in corpus (6)

• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Time evolution of the Luttinger model with nonuniform temperature profile
• Diffusive Heat Waves in Random Conformal Field Theory
• Steady states and universal conductance in a quenched Luttinger model
• From normal diffusion to superdiffusion of energy in the evanescent flip noise limit
• The kinetic exclusion process: a tale of two fields