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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 083, 15 pp.
DOI: https://doi.org/10.20948/prepr-2019-83 (Mi ipmp2721) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Vlasov approximation for phonon gas

Yu. A. Volkov, M. B. Markov
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DOI: https://doi.org/10.20948/prepr-2019-83
Abstract: The Vlasov equation is constructed for a collisionless phonon gas in an anisotropic cubic crystal. An equation of Boltzmann type is proposed in the approximation of the collisional relaxation of phonons to the equilibrium distribution. It is shown that in the thermodynamic limit the kinetic model transforms in the thermoelasticity equations. The relationship between the kinetic model of a phonon gas and the Katteneo equation is considered.
Keywords: crystal, phonon, elastic deformations, Vlasov equation, Boltzmann equation.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00301_а
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: Yu. A. Volkov, M. B. Markov, “The Vlasov approximation for phonon gas”, Keldysh Institute preprints, 2019, 083, 15 pp.
Citation in format AMSBIB
\Bibitem{VolMar19}
\by Yu.~A.~Volkov, M.~B.~Markov
\paper The Vlasov approximation for phonon gas
\jour Keldysh Institute preprints
\yr 2019
\papernumber 083
\totalpages 15
\mathnet{http://mi.mathnet.ru/ipmp2721}
\crossref{https://doi.org/10.20948/prepr-2019-83}
\elib{https://elibrary.ru/item.asp?id=39373275}
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  • https://www.mathnet.ru/eng/ipmp/y2019/p83
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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