Development of a full-spectrum Monte-Carlo simulation tool for phonon flow
Date Issued
2015
Date
2015
Author(s)
Chien, Pei-Sheng
Abstract
This study aims at developing a full-spectrum Monte-Carlo (MC) simulation tool for phonon flow in semiconductors. The phonon Boltzmann transport equation (PBTE) was solved based on the bulk phonon dispersion relation and Holland’s empirical relations for various scattering mechanisms. Most of all, this research reveals proper ways to reset the phonon properties for different scattering mechanisms, namely, it must be done based on the actual probabilities of scattering events. A 1D system with either periodic boundary conditions, adiabatic boundary conditions, or constant boundary temperatures was employed to verify the accuracy of the proposed simulation tool. The study demonstrates that the phonon properties must be randomly selected from the un-weighted local equilibrium phonon population distribution, the weighted one by the three-phonon scattering rate, or the weighted one by the phonon group velocity respectively when a local energy imbalance, a three-phonon scattering event, or a boundary scattering event occurs. The accuracy of the proposed simulation tool was finally confirmed via a transient problem and a steady problem.
Subjects
Full-spectrum
Monte-Carlo simulation
phonon flow
thermal conductivity
Type
thesis
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ntu-104-R02522113-1.pdf
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