A direct solution to the phonon Boltzmann equation
Materials Science
2013-03-19 v1
Abstract
The frequency dependent phonon Boltzmann equation is transformed to an integral equation over the irreducible part of the Brillouin zone. Simultaneous diagonalization of the collision kernel of that equation and a symmetry crystal class operator allow to obtain a spectral representation of the lattice thermal conductivity valid at finite frequency. The method is applied to C, Si and MgSi to obtain the static and dynamical thermal conductivities.
Cite
@article{arxiv.1303.4062,
title = {A direct solution to the phonon Boltzmann equation},
author = {Laurent Chaput},
journal= {arXiv preprint arXiv:1303.4062},
year = {2013}
}