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Matematicheskoe modelirovanie, 2018, Volume 30, Number 12, Pages 3–16 (Mi mm4023)  
This article is cited in 3 scientific papers (total in 3 papers)

The simulation of the electron-phonon interaction in silicon

A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov

Keldysh Institute of Applied Mathematics of RAS
Full-text PDF (536 kB) Citations (3)
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Abstract: The processes of charge transfer in semiconductors are considered. The model is constructed on the basis of quantum kinetic equations for the distribution functions of conduction electrons and holes of the valence band in the phase space of coordinates and quasimomenta. Scattering of charge carriers is modeled by the statistical particle method. The basic processes of electron scattering by lattice nonidealities are considered. The calculations of the electron drift velocity in pure and doped silicon are presented.
Keywords: kinetic equations, particle method, scattering frequency, drift velocity.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00301_а
Received: 29.03.2018
English version:
Mathematical Models and Computer Simulations, 2019, Volume 11, Issue 4, Pages 542–550
DOI: https://doi.org/10.1134/S2070048219040057
Document Type: Article
Language: Russian
Citation: A. V. Berezin, Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “The simulation of the electron-phonon interaction in silicon”, Mat. Model., 30:12 (2018), 3–16; Math. Models Comput. Simul., 11:4 (2019), 542–550
Citation in format AMSBIB
\Bibitem{BerVolMar18}
\by A.~V.~Berezin, Yu.~A.~Volkov, M.~B.~Markov, I.~A.~Tarakanov
\paper The simulation of the electron-phonon interaction in silicon
\jour Mat. Model.
\yr 2018
\vol 30
\issue 12
\pages 3--16
\mathnet{http://mi.mathnet.ru/mm4023}
\transl
\jour Math. Models Comput. Simul.
\yr 2019
\vol 11
\issue 4
\pages 542--550
\crossref{https://doi.org/10.1134/S2070048219040057}
Linking options:
  • https://www.mathnet.ru/eng/mm4023
  • https://www.mathnet.ru/eng/mm/v30/i12/p3
    • This publication is cited in the following 3 articles:
    1. Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “Statistical particle in cell for solving the phonon Boltzmann equation”, Keldysh Institute preprints, 2022, 96–16  mathnet  mathnet  crossref
    2. Yu. A. Volkov, A. S. Dmitriev, M. B. Markov, “Vlasov equation for phonons and its macroscopic consequences”, Math. Models Comput. Simul., 13:4 (2021), 552–560  mathnet  mathnet  crossref  crossref
    3. Yu. A. Volkov, M. B. Markov, “The Vlasov approximation for phonon gas”, Keldysh Institute preprints, 2019, 83–15  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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    References:44
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