|Title:||Monte Carlo modelling of the Boltzmann transport equation via phase space triangulation
|Subject(s):||Boltzmann transport equation, Monte Carlo, Phonon
|Abstract:||The Boltzmann transport equation (BTE) is the governing equation for nonequilibrium
particle transport and has been used to analyze a wide class of
particle transport phenomena ranging from rarefied gas and plasma
electron-phonon transport in semiconductor substrates. Although there is
no known full analytic solution to the BTE in the general case, approximations
to the solution of the BTE can be obtained by numerical Monte Carlo
simulations which have since become state-of-the-art.
In this thesis, a unified method of modeling the BTE using the aforementioned
Monte Carlo method is proposed in which the phase space of the
problem is discretized using Delaunay triangulations.
We then verify the scheme and demonstrate its computational tractability
by simulating phonon transport in bulk silicon using anisotropic dispersion
relation and scattering time data obtained from molecular dynamics simulations
|Date Available in IDEALS:||2019-06-17