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 |
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Pages (from-to) | 2338-2344 |
Journal | International Journal of Heat and Mass Transfer |
Volume | 55 |
DOIs | |
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