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Dal'nevostochnyi Matematicheskii Zhurnal, 2018, Volume 18, Number 1, Pages 34–38 (Mi dvmg363)  
This article is cited in 6 scientific papers (total in 6 papers)

The Fourier law for a one-dimensional crystal

M. A. Guzev

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (214 kB) Citations (6)
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Abstract: For a large number of particles, an analytic representation is obtained for the heat flux of a one-dimensional harmonic crystal. It is shown that the heat flux from one particle to an another one is not linked with the temperature difference between them, i.e. the classical Fourier law is not.
Key words: Fourier law, one-dimensional harmonic crystal.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received: 13.04.2018
Document Type: Article
UDC: 517.927.2, 531
MSC: Primary 34A25; Secondary 34A30, 70B99
Language: Russian
Citation: M. A. Guzev, “The Fourier law for a one-dimensional crystal”, Dal'nevost. Mat. Zh., 18:1 (2018), 34–38
Citation in format AMSBIB
\Bibitem{Guz18}
\by M.~A.~Guzev
\paper The Fourier law for a one-dimensional crystal
\jour Dal'nevost. Mat. Zh.
\yr 2018
\vol 18
\issue 1
\pages 34--38
\mathnet{http://mi.mathnet.ru/dvmg363}
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  • https://www.mathnet.ru/eng/dvmg/v18/i1/p34
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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