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

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. (paper)