The processes of heat conduction and diffusion in the space above the flat surface of the liquid, surface of a spherical aerosol particles and the cylindrical surface provided that the fluctuations of heat or mass flux through these surfaces are described. It is shown that the corresponding random changes in temperature, concentration, heat and mass flows are non-Markovian random processes, and integral stochastic equations must be used to describe them. Statistical characteristics of these fluctuations, including the characteristic function and spectral density, aredetermined
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