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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 1, Pages 95–108
DOI: https://doi.org/10.4213/tmf6422 (Mi tmf6422) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Smoluchowski problem for metals with mirror-diffusive boundary conditions

A. V. Latyshev, A. A. Yushkanov

Moscow State Region University, Moscow, Russia
Full-text PDF (386 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6422
Abstract: We solve the Smoluchowski problem for the distribution of electron-gas temperatures near the metal surface in the presence of a temperature gradient normal to the surface. We assume mirror-diffusive scattering of electrons by the metal boundary. We develop a special solution method using the Neumann series.
Keywords: metal, electron gas, temperature distribution, temperature gradient, mirror reflection coefficient.
Received: 08.12.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 1, Pages 1403–1414
DOI: https://doi.org/10.1007/s11232-009-0126-z
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Smoluchowski problem for metals with mirror-diffusive boundary conditions”, TMF, 161:1 (2009), 95–108; Theoret. and Math. Phys., 161:1 (2009), 1403–1414
Citation in format AMSBIB
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\paper Smoluchowski problem for metals with mirror-diffusive boundary conditions
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...161.1403L}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 161
\issue 1
\pages 1403--1414
\crossref{https://doi.org/10.1007/s11232-009-0126-z}
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Linking options:
  • https://www.mathnet.ru/eng/tmf6422
  • https://doi.org/10.4213/tmf6422
  • https://www.mathnet.ru/eng/tmf/v161/i1/p95
    • This publication is cited in the following 3 articles:
    1. V. V. Lukashev, V. N. Popov, A. A. Yushkanov, “Modelling of transport processes in problem of Couette flow at incomplete accommodation of a tangential impulse of gas molecules by the walls of the channel”, Math. Models Comput. Simul., 5:5 (2013), 439–447  mathnet  crossref  mathscinet
    2. Lukashev V.V., Popov V.N., Yushkanov A.A., “Vychislenie potoka tepla v zadache o techenii kuetta s ispolzovaniem zerkalno-diffuznoi modeli granichnogo usloviya na stenkakh kanala”, Vestn. Severnogo (arkticheskogo) federalnogo un-ta. Ser. Estestvennye nauki, 2012, no. 2, 80–85  elib
    3. A. V. Latyshev, A. A. Yushkanov, “Temperature jump in degenerate quantum gases with the Bogoliubov excitation energy and in the presence of the Bose–Einstein condensate”, Theoret. and Math. Phys., 165:1 (2010), 1358–1370  mathnet  crossref  crossref  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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