Abstract:
In recent years, attention has been growing in the study of the thermophysical properties of nanostructures,
which is due to the opportunities that open with the use of these structures in virtually all fields of science,
technology, medicine, etc. Studies show that there are significant differences in the nature of heat transfer
within macroscopic bodies and in nanostructures. Another feature of this problem is the large variety of objects
that require the development of special theoretical and experimental research methods. In this connection,
the issues of heat transfer in solid-state nanostructures are currently an area of active research. As shown
by us in a number of papers, the equations (1)–(3) obtained have a universal character and are valid for the
dimensional dependence of many properties of nanostructures, including thermophysical ones. In the present
paper, this approach is used in considering the thermal conductivity and electrical conductivity of metallic
nanostructures and some typical problems of thermal conductivity of thin films. It follows from the results
presented in the paper that for metal nanostructures the Fuchs-Sondheimer model works well when taking into
account the dimensional dependence of the mean free path of an electron. In all the guidelines for calculating
the thermal fields of thin coatings of space and aviation equipment, we start with the classical heat conduction
equations, where the thermal conductivity coefficient is assumed to be a constant value. In this paper,
we showed that when the thickness of a metal film is less than 50–100 nm, its physical properties are affected
by dimensional effects. The problem of the thermal field of an unlimited plate of small thickness is considered.
It is shown that the heat field of a nanoplate depends both on the material of the plate through the coefficient
of thermal conductivity of a massive sample, and on the size factor. In the classical case, there is no
such dependence.
