A perturbative approach for the crystal chains with self-consistent stochastic reservoirs

Abstract

We consider the harmonic chain of oscillators with self-consistent stochastic reservoirs and give a new proof for the finitude of its thermal conductivity in the steady state. The approach, with involves an integral representation for the correlations (heat flow)and a perturbative analysis, is quite general and extendable to the study of anharmonic systems.

to be published in Theoretical and Mathematical Physics

References in corpus (4)

• Thermal conduction in classical low-dimensional lattices
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Normal Heat Conduction in a Chain with Weak Interparticle Anharmonic Potential
• Non-equilibrium Statistical Mechanics of Anharmonic Crystals with Self-consistent Stochastic Reservoirs

Cited by in corpus (4)

• Increasing thermal rectification: Effects of long range interactions
• Thermal balance and quantum heat transport in nanostructures thermalized by local Langevin heat baths
• Thermal Rectification in Classical and Quantum Systems: Searching for Efficient Thermal Diodes
• Heat flow in anharmonic crystals with internal and external stochastic baths: A convergent polymer expansion for a model with discrete time and long range interparticle interaction