# Calculation of Kapitza resistance with kinetic equation

## TL;DR

This paper presents a novel analytical method for calculating interfacial thermal resistance due to phonons, accounting for non-equilibrium phonon distributions and validated against experimental data.

## Contribution

It introduces an exact analytical solution for Kapitza resistance considering non-equilibrium phonon effects using a model based on the Diffusive Mismatch Model.

## Key findings

- Results agree well with experimental data
- The method accounts for non-equilibrium phonon distributions
- Analytical solutions are derived for different transmission models

## 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.