The origin of normal heat conduction in one-dimensional classics system

TL;DR

This paper introduces a new one-dimensional lattice model with asymmetric interactions, demonstrating that it obeys Fourier's law of heat conduction due to a novel phonon scattering mechanism that destroys momentum.

Contribution

It proposes a new lattice model with asymmetric potential and reveals a new phonon scattering process responsible for normal heat conduction.

Findings

Fourier law is obeyed in the model

A new phonon scattering mechanism is identified

Normal heat conduction is explained by momentum-breaking scattering

Abstract

We propose a new one-dimensional lattice model with strong asymmetric interaction potential and investigate heat conduction in this model numerically. We find that Fourier law is obeyed. Based on the phonon theory, we find a new scattering mechanism of phonon because of the breaking of the lattice segment. It is shown that in most of scattering process in this model momentum is destroyed as well as the Umklapp phonon-phonon scattering process which leads to the normal heat conduction. At last, we extend our analysis to the same class model with asymmetry interaction potential and get a general conclusion.