Calculation of Kapitza resistance with kinetic equation

Abstract

A new method is introduced for calculation of interfacial thermal resistance in the case of heat transport through the interface by phonons. A unique feature of the method is taking into account all the consequences of a non-equilibrium character of phonon distribution functions during the heat transport. We introduce a model set of transmission and reflection amplitudes of phonons at the interface based on the most common in the literature Diffusive Mismatch Model. For the proposed model we derive an exact analytical solution. The problem is also solved for a set of transmission and reflection amplitudes characterized by a free parameter. We found that the calculation results are in a good agreement with the experimental data.