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

TL;DR

This paper introduces a perturbative method to analyze heat conduction in harmonic chains with self-consistent stochastic reservoirs, providing a new proof of finite thermal conductivity and extending potential applications to anharmonic systems.

Contribution

A novel perturbative approach with integral correlation representation for studying heat flow, applicable to harmonic and anharmonic chains.

Findings

Proves finite thermal conductivity in the steady state.

Develops a general perturbative framework for correlation analysis.

Extends methodology to anharmonic systems.

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.