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

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

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37 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)2338-2344
JournalInternational Journal of Heat and Mass Transfer
Volume55
DOIs
Publication statusPublished - 1 Apr 2012

Keywords

  • Electron-phonon coupling
  • Heat transport in metallic nanowires
  • Nonlocal constitutive equations
  • Size dependence of the Wiedemann-Franz law

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