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Heat Conduction in a One-Dimensional Harmonic Chain with Three-Dimensional Vibrations
Zonghua Liu1,2 and
Baowen Li2,3
1Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062, China
2Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117542
3NUS Graduate School for Integrative Sciences and Engineering, Singapore 117597
(Received January 8, 2008; Accepted May 2, 2008; Published June 25, 2008)
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.
©2008 The Physical Society of Japan
KEYWORDS:
heat conduction, harmonic chain, 3D vibration, lattice constant, energy transport
URL:
http://jpsj.ipap.jp/link?JPSJ/77/074003/
DOI: 10.1143/JPSJ.77.074003
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