Monte Carlo simulation of ballistic conduction

The book identified the effects of volume fraction size shape and distribution of the nanowire fillers on heat flow and thermal conductivity; computed using both gray media and non-gray media approaches under the relaxation time approximation the thermal transport in the nanocomposites; and compared the performances of the gray and non-gray media approaches.The Boltzmann transport equation (BTE) was adopted for description of ballistic phonon thermal conduction in the semiconductor nanocomposites. The BTE was solved using Monte Carlo (MC) simulation technique. MC Software package (Geant4) was used to study the effects of volume fraction size shape and distribution of nanowire fillers on heat flow and thermal conductivity. Computational domains for both gray and non-gray media approaches were modeled and the geometry and dimensions of unit cell and sub-cells in the domain was determined. The simulation ran for a number of time steps until the temperature across the computational domain reached a steady state.