Abstract
This review discusses research completed as a result of the author's cooperation with the Department of Igor Mikhailovich Dimitrenko, from 1975 to 1992. Based on kinetic equations for electron and phonon distribution functions, we theoretically considered hot electrons at low temperatures in metal films deposited on dielectric substrates with high thermal conductivity. We present a brief analysis of the major results related to hot electrons in superconducting films, the problem of heat removal from a sample, the form of a hot electron distribution function when thermalization criterion is not satisfied, the size effect in heat transfer from metal films, the tunneling of hot electrons, as well as the generalization of these results for metals with arbitrary dispersion of electrons and phonons in terms of Eliashberg spectral functions.
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