Thermal expansion and its impacts on thermal transport in the FPU-α-β model

We study the impacts of thermal expansion, arising from the asymmetric interparticle potential, on thermal conductance in the FPU-α-β model. A nonmonotonic dependence of the temperature gradient and thermal conductance on the cubic interaction parameter α are shown, which corresponds to the variatio...

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Bibliographic Details
Main Authors: Xiaodong Cao, Dahai He, Hong Zhao, Bambi Hu
Format: Article
Language:English
Published: AIP Publishing LLC 2015-05-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.4914913
Description
Summary:We study the impacts of thermal expansion, arising from the asymmetric interparticle potential, on thermal conductance in the FPU-α-β model. A nonmonotonic dependence of the temperature gradient and thermal conductance on the cubic interaction parameter α are shown, which corresponds to the variation of the coefficient of thermal expansion. Three domains with respect to α can be identified. The results are explained based on the detailed analysis of the asymmetry of the interparticle potential. The self-consistent phonon theory, which can capture the effect of thermal expansion, is developed to support our explanation in a quantitative way. Our result would be helpful to understand the issue that whether there exist normal thermal conduction in the FPU-α-β model.
ISSN:2158-3226