Harmonic Systems With Bulk Noises

Abstract

We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoirs. While both systems have the same covariances in the nonequilibrium stationary state (NESS) the measures are very different. We study hydrodynamical scaling, large deviations, fluctuations, and long range correlations in both systems. Some of our results extend to higher dimensions.

References in corpus (7)

• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs
• Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities
• Heat conduction in disordered harmonic lattices with energy conserving noise
• Stationary and Nonequilibrium Fluctuations in Boundary Driven Exclusion Processes
• Stationary non-equilibrium properties for a heat conduction model
• Static large deviations of boundary driven exclusion processes

Cited by in corpus (19)

• Fast and slow thermal processes in harmonic scalar lattices
• Hidden entropy production by fast variables
• Fractional diffusion equation description of an open anomalous heat conduction set-up
• Heat transfer in a one-dimensional harmonic crystal in a viscous environment subjected to an external heat supply
• Steady-state kinetic temperature distribution in a two-dimensional square harmonic scalar lattice lying in a viscous environment and subjected to a point heat source
• Nonequilibrium processes from Generalised Langevin Equations: realistic nanoscale systems connected to two thermal baths
• Nonequilibrium statistical mechanics of weakly stochastically perturbed system of oscillators
• Nonequilibrium Generalised Langevin Equation for the calculation of heat transport properties in model 1D atomic chains coupled to two 3D thermal baths
• Harmonic chain with velocity flips: thermalization and kinetic theory
• Thermalization in harmonic particle chains with velocity flips
• Liouville ergodicity of linear multi-particle hamiltonian system with one marked particle velocity flips
• Energy fluctuations, hydrodynamics and local correlations in harmonic systems with bulk noises
• Thermalization of isolated harmonic networks under conservative noise
• Heat flow in a periodically forced, thermostatted chain II
• Thermal transport in long-range interacting harmonic chains perturbed by long-range conservative noise
• Statistical mechanics of nonequilibrium systems of rotators with alternated spins
• Asymptotic behaviour of a network of oscillators coupled to thermostats of finite energy
• Diffusion of energy in chains of oscillators with bulk noise
• Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps