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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2019, Volume 29, Number 4, Pages 98–109
DOI: https://doi.org/10.26117/2079-6641-2019-29-4-98-109
(Mi vkam374)
 

PHYSICS

To the theory of thermal conduction and conductivity of metal fractals

S. O. Gladkov, S. B. Bogdanova

Moscow Aviation Institute, 125993, Moscow, Volokolamskoe shosse,4, Russia
References:
Abstract: In the paper, it is suggsted an analytical approach of the physical description of fractal metal structures. The calculatuions are based on using quasiclassical Boltzmann kinetic equation and formally introduced operations of fractional differentiation. As examples of its application, the thermal conduction coefficients and conductivity of the metal fractal are calculated. What is more, it is shown the main difference between physical properties of fractal objects and ordinary smooth samples
Keywords: uasiclassical kinetic equation, fractal, fractional differentiation, conductivity, thermal conduction.
Document Type: Article
UDC: 537.9
MSC: 80A20
Language: Russian
Citation: S. O. Gladkov, S. B. Bogdanova, “To the theory of thermal conduction and conductivity of metal fractals”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 29:4 (2019), 98–109
Citation in format AMSBIB
\Bibitem{GlaBog19}
\by S.~O.~Gladkov, S.~B.~Bogdanova
\paper To the theory of thermal conduction and conductivity of metal fractals
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 29
\issue 4
\pages 98--109
\mathnet{http://mi.mathnet.ru/vkam374}
\crossref{https://doi.org/10.26117/2079-6641-2019-29-4-98-109}
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