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

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• 作者：D. Jou^a ; ^b ; ^{david.jou@uab.es} ; V.A. Cimmelli^c ; ^{vito.cimmelli@unibas.it} ; A. Sellitto^c ; ^{ant.sellitto@gmail.com}
• 关键词：Heat transport in metallic nanowires ; Nonlocal constitutive equations ; Size dependence of the Wiedemann&ndash ; Franz law ; Electron&ndash ; phonon coupling
• 刊名：International Journal of Heat and Mass Transfer
• 出版年：2012
• 期刊代码：42_00179310
• 类别：ce
• 出版时间：April, 2012
• 卷：55
• 期：9-10
• 页码：2338-2344
• 文件大小：226 K

摘要

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.