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

2017/03/17 by Yuri Petrovich Virchenko, Virchenko, Yuri Petrovich, Lam Tan Phat +1
Engineering · Physics and Astronomy · #Thermal Radiation and Cooling Technologies #Radiative Heat Transfer Studies #Advanced Thermodynamics and Statistical Mechanics

paper · pdf · doi:10.48550/arxiv.1703.05941

Abstract

The stochastic model that describes radiative heat transfer in dielectric\nmedium is built. The model is based on the representation that heat transfer is\nrealized both by heat conductivity mechanism in it and due to the\nelectromagnetic radiation that is generated by thermal fluctuations of atoms in\nthe medium. Using the fluctuation-dissipative theorem, on the basis of such\nphysical suppositions, the stochastic model is formulated in the form of the\ninfinite dimensional Ornstein-Uhlenbeck process that describes medium\nfluctuations. In the model frameworks, the energy flux density of fluctuating\nelectromagnetic field is calculated in the form of the functional of\ntemperature distribution in three-dimensional medium sample.\n

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