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Funct. Mater. 2017; 24 (1): 106-116.


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

Yu.P. Virchenko, Lam Tan Phat

Belgorod State University, 308015, Belgorod, Russia


The stochastic model that describes radiative heat transfer in dielectric medium is analyzed. The model is based on the representation that heat transfer is realized both by its heat conductivity and by electromagnetic radiation that is generated by thermal fluctuations in the medium. Such physical suppositions, using fluctuation-dissipative theorem, are realized in the form of the infinite dimensional Ornstein-Uhlenbeck process that describes medium fluctuations. In the model frameworks, the energy flux density of fluctuating electromagnetic field is calculated in the form of a functional of the temperature distribution in real three-dimensional media sample.

radiative heat transfer, fluctuation-dissipative theorem, infinite dimensional Ornstein-Uhlenbeck process.

1. E.M. Sparrow, R.D. Cess, Radiation heat transfer, Brooks/Cole Publishing Company, Belmont, California, (1970).

2. N.A. Rubtsov, Radiation heat transfer in continuos media, Nauka, Siber. Department, Novosibirsk (1984) [in Russian].

3. V.A. Petrov, N.V. Marchenko, Radiation energy transfer in partially transparent solid materials, Nauka, Moscow (1985) [in Russian].

4. A.V. Kolesnikov, Yu.P. Virchenko, Functional Materials, 13, 372 (2006).

5. Yu.P. Virchenko, M.A. Saprykin, Scientific Bulletin of Belgorod State University. Mathematics & Physics, 16, 47 (2009) [in Russian].

6. Yu.P. Virchenko, M.A. Saprykin, Functional Materials, 18, 504 (2011).

7. Yu.P. Virchenko, M.A. Saprykin, Reports of NASU}, 12, 63 (2010) [in Russian].

8. S.M. Rytov, Theory of electrical fluctuations and thermal radiation, AN SSSR Publishing, Moscow (1953) [in Russian].

9. S.M. Rytov, Yu.A. Klyatskin, V.I. Tatarskii, Introduction to Statistical Radiophysics. v.2. Random fields, Nauka, Moscow (1978) [in Russian].

10. Yu.P. Virchenko, Lam Tan Phat, Functional Materials, 23, 075 (2016). https://doi.org/10.15407/fm23.01.075

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