Solution of the Boltzmann Transport Equation for Phonon Transport via the Speed-Up Transient Monte Carlo Method Using Reference Temperature

Abstract

The Boltzmann transport equation can be solved by a statistical approach via the Monte Carlo method. An alternative model is proposed in this study by introducing a reference temperature, in which the simulation accounts only for phonon ensembles above the reference temperature over the whole frequency spectrum. The current study delves into several computational parameters (scaling factor, number of discretizations for integration, phonon frequency after scattering, and reference temperature) involved in the simulation and the effects of different choices of each of these parameters on the simulation results. In general, it is proposed that a scaling factor and discretization of 1,000 and a reference temperature close to the initial temperature be used in the simulations to ensure efficiency without compromising the accuracy of the results. The scattering parameters for silicon, germanium, and gallium arsenide used in the current study are also compared to those in the literature.

Notes

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