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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019 Volume 29, Number 4, Pages 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

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.

UDC: 537.9

MSC: 80A20

DOI: 10.26117/2079-6641-2019-29-4-98-109



© Steklov Math. Inst. of RAS, 2024