Effective thermal characteristics of nanostructures in the presence of Kapitsa resistance

The effective thermal characteristics of composite materials used in the theory of solid-state cooling are studied. Two classes of composites are considered: layered structures consisting of a large number of nano-sized layers and two-phase granular composites. It is assumed that the boundaries between media are imperfect. At these boundaries, the temperature experiences a Kapitsa jump. The effective characteristics of layered structures are obtained using the matrix averaging method. The Averaging of the characteristics of granular composites is based on the Bruggeman approach. Formulas taking into account the influence of the Kapitsa interlayer resistance on the average thermal characteristics of the structure are obtained. Expressions for average values of heat sources are derived.