TY - JOUR
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 - 10.1016/j.ijheatmasstransfer.2012.01.033
DO - 10.1016/j.ijheatmasstransfer.2012.01.033
M3 - Article
SN - 0017-9310
VL - 55
SP - 2338
EP - 2344
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
ER -