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The stochastic model that describes radiative heat transfer in dielectricmedium is built. The model is based on the representation that heat transfer isrealized both by heat conductivity mechanism in it and due to theelectromagnetic radiation that is generated by thermal fluctuations of atoms inthe medium. Using the fluctuation-dissipative theorem, on the basis of suchphysical suppositions, the stochastic model is formulated in the form of theinfinite dimensional Ornstein-Uhlenbeck process that describes mediumfluctuations. In the model frameworks, the energy flux density of fluctuatingelectromagnetic field is calculated in the form of the functional oftemperature distribution in three-dimensional medium sample.

Energy flux of electromagnetic field in stochastic model of radiative heat transfer in dielectric solid medium