Modeling of phonon diffusion using a Monte-Carlo method based on physics of phonon

Abstract

Modern studies of heat transfer in semiconductor and dielectric structures (integrated circuits, etc.) are based on the analysis of the interaction of quasi-particles called phonons – quanta of elastic waves propagating inside the crystal lattice. In this paper, it is shown that to describe the diffusion it requires a detailed analysis of the physics of phonons interactions. Firstly, we formulated a method to perform a phonon diffusion calculations which takes into account the peculiarities of phonon interaction. Secondly, we developed a brand-new algorithm, which allow to carry out a computer simulation of phonon diffusion. Obtained results are necessary both for a deeper understanding of the processes of heat transfer, and for future calculations of the contact thermal resistances and phonon scattering on the boundaries – the relevant problems of heat transport in nanostructures.