Heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations

Zonghua Liu; Baowen Li

doi:10.1143/JPSJ.77.074003

Heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations

Zonghua Liu^*
, Baowen Li

^*Corresponding author for this work

School of Physics and Electronic Science

National University of Singapore

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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

Original language	English
Article number	074003
Journal	Journal of the Physical Society of Japan
Volume	77
Issue number	7
DOIs	https://doi.org/10.1143/JPSJ.77.074003
State	Published - Jul 2008

Keywords

3D vibration
Energy transport
Harmonic chain
Heat conduction
Lattice constant

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10.1143/JPSJ.77.074003

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title = "Heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations",

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

keywords = "3D vibration, Energy transport, Harmonic chain, Heat conduction, Lattice constant",

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T1 - Heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations

AU - Liu, Zonghua

AU - Li, Baowen

PY - 2008/7

Y1 - 2008/7

N2 - We study vibrational energy transport in a quasi one-dimensional (1D) harmonic chain with both longitudinal and transverse vibrations. We demonstrate via both numerical simulation and theoretic analysis that for 1D atomic chain connected by three-dimensional (3D) harmonic springs, the coefficient of heat conduction changes continuously with its lattice constant, indicating the qualitative difference from the corresponding 1D case where the coefficient is independent of the lattice constant.

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

KW - 3D vibration

KW - Energy transport

KW - Harmonic chain

KW - Heat conduction

KW - Lattice constant

UR - https://www.scopus.com/pages/publications/54349098482

U2 - 10.1143/JPSJ.77.074003

DO - 10.1143/JPSJ.77.074003

M3 - 文章

AN - SCOPUS:54349098482

SN - 0031-9015

VL - 77

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 7

M1 - 074003

ER -

Heat conduction in a one-dimensional harmonic chain with three-dimensional vibrations

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Keywords

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