Transient in-plane thermal transport in nanofilms with internal heating

Abstract

Wide applications of nanofilms in electronics necessitate an in-depth understanding of nanoscale thermal transport, which significantly deviates from Fourier's law. Great efforts have focused on the effective thermal conductivity under temperature difference, while it is still ambiguous whether the diffusion equation with an effective thermal conductivity can accurately characterize the nanoscale thermal transport with internal heating. In this work, transient in-plane thermal transport in nanofilms with internal heating is studied via Monte Carlo (MC) simulations in comparison to the heat diffusion model and mechanism analyses using Fourier transform. Phonon-boundary scattering leads to larger temperature rise and slower thermal response rate when compared with the heat diffusion model based on Fourier's law. The MC simulations are also compared with the diffusion model with effective thermal conductivity. In the first case of continuous internal heating, the diffusion model with effective thermal conductivity under-predicts the temperature rise by the MC simulations at the initial heating stage, while the deviation between them gradually decreases and vanishes with time. By contrast, for the one-pulse internal heating case, the diffusion model with effective thermal conductivity under-predicts both the peak temperature rise and the cooling rate, so the deviation can always exist.

GiftBTE: an efficient deterministic solver for non-gray phonon Boltzmann transport equation

“…All these cases have been listed as examples of the GiftBTE packages. The numerical results of four toy problems verified with analytical solutions [66,67] or the numerical results in [51,68].…”

“…Figure 2.The numerical results of four toy problems verified with analytical solutions[66,67] or the numerical results in[51,68].…”

Monte-Carlo parallel simulation of phonon transport for 3D silicon nano-devices

“…The methods which deal with solving the BTE [8,9,10,11,12,13,14] have taken much attention for a long time. As long as phonons can be considered to be particles, or on other words, the quantum wave effects are neglected, the Boltzmann transport equation can be used to model the heat conduction phenomenon.…”