We present a mechanism and foundation of the radiation theory of evaporation of condensed bodies. New distribution functions by the energy of substance particles and the intensity of their transition from one energy level to another one in the process of evaporation on the basis of the law of the intensity of spectral radiation of body particles is derived. The temperature dependence of the resulting flow of steam on the external surface of a massive condensed body and a thin layer in the equilibrium and nonequilibrium states is found. This dependence passes in the limit on to the known formula of Hertz - Knudsen.

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