Non-Fourier Heat Transfer with Phonons and Electrons in a Circular Thin Layer Surrounding a Hot Nanodevice

Abstract

A nonlocal model for heat transfer with phonons and electrons is applied to infer the steady-state radial temperature profile in a circular layer surrounding an inner hot component. Such a profile, following by the numerical solution of the heat equation, predicts that the temperature behaves in an anomalous way, since for radial distances from the heat source smaller than the mean-free path of phonons and electrons, it increases for increasing distances. The compatibility of this temperature behavior with the second law of thermodynamics is investigated by calculating numerically the local entropy production as a function of the radial distance. It turns out that such a production is positive and strictly decreasing with the radial distance.

Constitutive equations for heat conduction in nanosystems and nonequilibrium processes: an overview

“…The heat transport in two-dimensional systems (graphene, silicon thin layers, microporous thin layers) should also be explored with more detail, because of the increased relevance of these systems as compared to the three-dimensional ones [105,106]. Radial heat transport from hot spots, and its application to temperature measurements (or to nanodevice refrigeration) is also an interesting topic, since it offers important hints on some basic problems of nonequilibrium thermodynamics.…”

Mesoscopic Moment Equations for Heat Conduction: Characteristic Features and Slow–Fast Mode Decomposition

“…One of these is to overcome the limits of the classical transport equations to correctly describe high-frequency and short-wavelength processes [2][3][4]. This deficiency has become particularly limiting during the last years because of the increasing interest in small-scale devices, nano-technologies and nano-structured materials [5][6][7][8][9][10]. Contemporary technology strives for high speed and miniaturization; thus, transport equations should be able to cope with the related phenomena.…”