Normal heat conduction in one dimensional momentum conserving lattices with asymmetric interactions

TL;DR

This study demonstrates that asymmetric interactions in one-dimensional momentum conserving lattices can lead to finite heat conductivity, challenging the common belief that Fourier's law is violated in such low-dimensional systems.

Contribution

It reveals that asymmetry in interparticle interactions can restore normal heat conduction in 1D momentum conserving lattices, providing a new perspective on heat transport mechanisms.

Findings

Heat conductivity converges with asymmetry in interactions.

Asymmetric interactions introduce additional phonon scattering.

Contrasts with the typical divergence of heat conductivity in 1D systems.

Abstract

The heat conduction behavior of one dimensional momentum conserving lattice systems with asymmetric interparticle interactions is numerically investigated. It is found that with certain degree of interaction asymmetry, the heat conductivity measured in nonequilibrium stationary states converges in the thermodynamical limit, in clear contrast to the well accepted viewpoint that Fourier's law is generally violated in low dimensional momentum conserving systems. It suggests in nonequilibrium stationary states the mass gradient resulted from the asymmetric interactions may provide an additional phonon scattering mechanism other than that due to the nonlinear interactions.