Relationship between isobaric and isochoric thermal conductivity of solids (Review article)

In recent years, significant advances have been made in understanding the mechanisms of heat transfer in solids depending on the degree of ordering of the substances. At the same time, when discussing experimental results, the influence of thermal expansion is often ignored, although theoretical calculations are usually made for a constant volume. The dependence of thermal conductivity on pressure (density) is also relatively little studied for many substances. In this paper, these issues are analyzed in detail to date, and difference between the behavior of isochoric and isobaric thermal conductivity of solids is discussed. The consideration is limited to the region of relatively low pressures up to 1 GPa in the absence of pressure-induced phase transitions and a temperature range of the order of the Debye temperatures and above. Results are presented for a wide range of solids: covalent, semiconducting and ionic crystals, metals, orientationally ordered and disordered phases of molecular crystals, clathrate hydrates, amorphous solids and polymers.