The modeling of the Kapitza conductance through rough interfaces between solid bodies

The task of determining the Kapitza conductance through an interface between two solid bodies considering the roughness of the interface is formulated and solved for the first time. A modified acoustic mismatch model (AMM) is used. The difference from the standard model consists in the fact that the disperse properties of acoustic waves are taken into account. A substantial advantage of this model is the fact that its predictions are in agreement with the data in a wide range of temperatures from 30 to over 300 K. Eventually, it is very important that a method considering the statistical distribution of the roughness profiles is used for the determination of the energy transfer coefficient through the interface for the first time.