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Matematicheskoe modelirovanie, 2022, Volume 34, Number 10, Pages 65–80
DOI: https://doi.org/10.20948/mm-2022-10-04
(Mi mm4411)
 

Non-equilibrium characteristics of heat transfer of copper in a wide temperature range

V. I. Mazhukin, O. N. Koroleva, M. M. Demin, A. A. Aleksashkina

Keldysh Institute of Applied Mathematics of RAS
References:
Abstract: The characteristics of nonequilibrium heat transfer of copper, such as thermal conductivity and heat capacity, are obtained in a wide temperature range ($300 \leqslant T \leqslant 5700$ K), including the region of melting-crystallization phase transformations by mathematical modeling. As is known, there are two mechanisms of heat transfer in a solid body: by elastic vibrations of the lattice and by free electrons. When determining these characteristics of copper heat transfer, the lattice and electronic components were taken into account. Modeling of the characteristics of heat transfer of the copper electronic subsystem in this work is based on the use of quantum statistics of the electron gas using the Fermi-Dirac integrals. The properties of the phonon subsystem were determined within the framework of the atomistic approach. The interaction potential of particles of the “embedded atom” family EAM was used for modeling. The simulation results were compared with the results of alternative calculations. The total heat capacity and thermal conductivity of copper, obtained by summing the electronic and phonon components, are compared with the experimental data.
Keywords: nonequilibrium copper heat transfer, electron gas quantum statistics, FermiDirac integrals, molecular dynamics modeling.
Funding agency Grant number
Russian Science Foundation 18-11-00318
Received: 05.08.2022
Revised: 01.09.2022
Accepted: 12.09.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 3, Pages 415–426
DOI: https://doi.org/10.1134/S2070048223030110
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Mazhukin, O. N. Koroleva, M. M. Demin, A. A. Aleksashkina, “Non-equilibrium characteristics of heat transfer of copper in a wide temperature range”, Matem. Mod., 34:10 (2022), 65–80; Math. Models Comput. Simul., 15:3 (2023), 415–426
Citation in format AMSBIB
\Bibitem{MazKorDem22}
\by V.~I.~Mazhukin, O.~N.~Koroleva, M.~M.~Demin, A.~A.~Aleksashkina
\paper Non-equilibrium characteristics of heat transfer of copper in a wide temperature range
\jour Matem. Mod.
\yr 2022
\vol 34
\issue 10
\pages 65--80
\mathnet{http://mi.mathnet.ru/mm4411}
\crossref{https://doi.org/10.20948/mm-2022-10-04}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497558}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 3
\pages 415--426
\crossref{https://doi.org/10.1134/S2070048223030110}
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