Nonlocal heat transport with phonons and electrons: Application to metallic nanowires

D. Jou, V. A. Cimmelli, A. Sellitto

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Resum

In the framework of Extended Irreversible Thermodynamics we develop a model for coupled heat conduction by phonons and electrons. Particular emphasis is given to nonlocal effects, which may arise when the mean-free paths of phonons and/or electrons are comparable to the size of the system. As particular cases, we recover two parabolic equations of the Guyer-Krumhansl type which model the concurrent presence of the diffusion of heat superposed to the propagation of heat waves, and two hyperbolic equations of the Maxwell-Cattaneo type. In the latter case, the phase speed of temperature waves is calculated. The size dependence of the Wiedemann-Franz law is briefly analyzed for metallic nanowires. © 2012 Elsevier Ltd. All rights reserved.
Idioma originalAnglès
Pàgines (de-a)2338-2344
RevistaInternational Journal of Heat and Mass Transfer
Volum55
DOIs
Estat de la publicacióPublicada - 1 d’abr. 2012

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