One-dimensional stochastic model of radiative heat transfer in dielectric medium
One-dimensional stochastic model that describes radiative heat transfer in dielectric medium is built. It is done on the basis of representation that heat transfer in a solid is realized both by means of its heat conductivity and by means of the heat electromagnetic radiation which is generated by t...
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| Published in: | Functional Materials |
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| Date: | 2016 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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НТК «Інститут монокристалів» НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/120566 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | One-dimensional stochastic model of radiative heat transfer in dielectric medium / Yu.P. Virchenko, Lam Tan Phat // Functional Materials. — 2016. — Т. 23, № 1. — С. 075-082. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862613982273077248 |
|---|---|
| author | Virchenko, Yu.P. Lam Tan Phat |
| author_facet | Virchenko, Yu.P. Lam Tan Phat |
| citation_txt | One-dimensional stochastic model of radiative heat transfer in dielectric medium / Yu.P. Virchenko, Lam Tan Phat // Functional Materials. — 2016. — Т. 23, № 1. — С. 075-082. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Functional Materials |
| description | One-dimensional stochastic model that describes radiative heat transfer in dielectric medium is built. It is done on the basis of representation that heat transfer in a solid is realized both by means of its heat conductivity and by means of the heat electromagnetic radiation which is generated by thermal fluctuations in the medium. It is supposed that electromagnetic fluctuations are caused by thermal vibrations of solid skeleton connected with irradiation and absorption processes of photons. In the difference with previous works, it permits to formulate the stochastic model without using the supposition of susceptibility fluctuations and not to use the additional mathematical averaging on temporally slow process of thermal conductivity. It leads to the model in the form of the infinite dimensional Ornstein-Uhlenbeck process using the classic fluctuation-dissipative theorem. The energy flux of fluctuating electromagnetic field is calculated as a functional of the local temperature.
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| first_indexed | 2025-11-29T09:12:14Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-120566 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-11-29T09:12:14Z |
| publishDate | 2016 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Virchenko, Yu.P. Lam Tan Phat 2017-06-12T11:20:54Z 2017-06-12T11:20:54Z 2016 One-dimensional stochastic model of radiative heat transfer in dielectric medium / Yu.P. Virchenko, Lam Tan Phat // Functional Materials. — 2016. — Т. 23, № 1. — С. 075-082. — Бібліогр.: 12 назв. — англ. 1027-5495 DOI: http://dx.doi.org/10.15407/fm23.01.075 https://nasplib.isofts.kiev.ua/handle/123456789/120566 One-dimensional stochastic model that describes radiative heat transfer in dielectric medium is built. It is done on the basis of representation that heat transfer in a solid is realized both by means of its heat conductivity and by means of the heat electromagnetic radiation which is generated by thermal fluctuations in the medium. It is supposed that electromagnetic fluctuations are caused by thermal vibrations of solid skeleton connected with irradiation and absorption processes of photons. In the difference with previous works, it permits to formulate the stochastic model without using the supposition of susceptibility fluctuations and not to use the additional mathematical averaging on temporally slow process of thermal conductivity. It leads to the model in the form of the infinite dimensional Ornstein-Uhlenbeck process using the classic fluctuation-dissipative theorem. The energy flux of fluctuating electromagnetic field is calculated as a functional of the local temperature. en НТК «Інститут монокристалів» НАН України Functional Materials Modeling and simulation One-dimensional stochastic model of radiative heat transfer in dielectric medium Article published earlier |
| spellingShingle | One-dimensional stochastic model of radiative heat transfer in dielectric medium Virchenko, Yu.P. Lam Tan Phat Modeling and simulation |
| title | One-dimensional stochastic model of radiative heat transfer in dielectric medium |
| title_full | One-dimensional stochastic model of radiative heat transfer in dielectric medium |
| title_fullStr | One-dimensional stochastic model of radiative heat transfer in dielectric medium |
| title_full_unstemmed | One-dimensional stochastic model of radiative heat transfer in dielectric medium |
| title_short | One-dimensional stochastic model of radiative heat transfer in dielectric medium |
| title_sort | one-dimensional stochastic model of radiative heat transfer in dielectric medium |
| topic | Modeling and simulation |
| topic_facet | Modeling and simulation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/120566 |
| work_keys_str_mv | AT virchenkoyup onedimensionalstochasticmodelofradiativeheattransferindielectricmedium AT lamtanphat onedimensionalstochasticmodelofradiativeheattransferindielectricmedium |