Heat conduction in a 1D harmonic chain with three dimensional vibrations

TL;DR

This paper investigates heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations, revealing that the heat conduction coefficient varies continuously with lattice constant, unlike in purely 1D models.

Contribution

It introduces a model of a 1D harmonic chain with 3D vibrations and shows how heat conduction depends on lattice constant, providing new insights into vibrational energy transport.

Findings

Heat conduction coefficient varies with lattice constant.

Difference from purely 1D models where the coefficient is constant.

Numerical and theoretical analysis confirm the continuous change.

Abstract

We study vibrational energy transport in a quasi 1-D harmonic chain with both longitudinal and transverse vibrations. We demonstrate via both numerical simulation and theoretic analysis that for 1-D atomic chain connected by 3D harmonic springs, the coefficient of heat conduction changes it continuously with its lattice constant, indicating the qualitative difference from the corresponding 1-D case where the coefficient is independent of the lattice constant.