学术文献库

The field (geometrical) theory of specific heat is based on the universal thermal sum, a new mathematical tool derived from the evolution equation in the Euclidean four-dimensional spacetime, with the closed time coordinate. This theory made it possible to study the phenomena of scaling in the heat capacity of condensed matter. The scaling of specific heat of the carbon group elements with a diamond lattice is revisited. The predictions of the scaling characteristics for natural diamond and grey tin are verified with experimental data. The fourth power in temperature in the quasi-low temperature behaviour of the specific heat of both materials is confirmed. The phenomenon of scaling in the specific heat of some zincblend lattice compounds and diamond lattice elements is explored with their characteristic temperatures. The nearly identical elastic properties of grey tin and indium antimonide is the cause for similarity of their thermal properties, which makes it possible to propose conjectures about the thermal properties of grey tin. The derivation of the specific heat of two-dimensional bodies is presented and used to explore the surface heat capacity. The surface specific heat, which is inversely proportional to the effective size of a material body, must always be considered in theory and experiment. The surface contribution in total specific heat, which at sufficiently low temperatures is the cubic in temperature term, is demonstrated to be present in the datasets for powders of grey tin and sodium chloride, and two natural diamonds.