Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises

Abstract

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_{\ell }$ and $T_r$ at sites 1 and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic noises. These make the heat conductivity satisfy Fourier's law. Here we describe some new results about the hydrodynamical equations for typical macroscopic energy and displacement profiles, as well as their fluctuations and large deviations, in two simple models of this type.

References in corpus (3)

• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Heat conduction in disordered harmonic lattices with energy conserving noise
• Stationary non-equilibrium properties for a heat conduction model

Cited by in corpus (5)

• Heat flow in a periodically forced, thermostatted chain
• Harmonic chain with velocity flips: thermalization and kinetic theory
• Thermalization in harmonic particle chains with velocity flips
• Energy fluctuations, hydrodynamics and local correlations in harmonic systems with bulk noises
• Heat flow in a periodically forced, thermostatted chain II