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

D. Jou; V. A. Cimmelli; A. Sellitto

doi:https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.033

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

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

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

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 language	English
Pages (from-to)	2338-2344
Journal	International Journal of Heat and Mass Transfer
Volume	55
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.033
Publication status	Published - 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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title = "Nonlocal heat transport with phonons and electrons: Application to metallic nanowires",

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. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

keywords = "Electron-phonon coupling, Heat transport in metallic nanowires, Nonlocal constitutive equations, Size dependence of the Wiedemann-Franz law",

author = "D. Jou and Cimmelli, {V. A.} and A. Sellitto",

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T1 - Nonlocal heat transport with phonons and electrons: Application to metallic nanowires

AU - Jou, D.

AU - Cimmelli, V. A.

AU - Sellitto, A.

PY - 2012/4/1

Y1 - 2012/4/1

N2 - 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.

AB - 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.

KW - Electron-phonon coupling

KW - Heat transport in metallic nanowires

KW - Nonlocal constitutive equations

KW - Size dependence of the Wiedemann-Franz law

U2 - https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.033

DO - https://doi.org/10.1016/j.ijheatmasstransfer.2012.01.033

M3 - Article

VL - 55

SP - 2338

EP - 2344

ER -