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Matematicheskoe modelirovanie, 2003, Volume 15, Number 5, Pages 80–94 (Mi mm462)  

This article is cited in 6 scientific papers (total in 6 papers)

Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems

A. V. Latyshev, A. A. Yushkanov

Moscow Pedagogical University, Moscow, Russian Federation
Full-text PDF (906 kB) Citations (6)
References:
Abstract: The kinetic equation is constructed describing a behaviour of Bose-gases with collision frequency propotional to molecular velocity. The analytical solution of the generalized Smolukhovski problem is obtained. In this problem the temperature gradient and the velocity of mass flow are given. The exact formulas for jumps of the temperature the gas, the concentration and the chemical potential are deduced. The analysis of the limiting cases show transition the quantized Bose-gas to classic or to degenerative case.
Received: 01.02.2002
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems”, Mat. Model., 15:5 (2003), 80–94
Citation in format AMSBIB
\Bibitem{LatYus03}
\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper Kinetic processes in quantized Bose-gases and analytical solution of boundary value problems
\jour Mat. Model.
\yr 2003
\vol 15
\issue 5
\pages 80--94
\mathnet{http://mi.mathnet.ru/mm462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2007297}
\zmath{https://zbmath.org/?q=an:1123.76062}
Linking options:
  • https://www.mathnet.ru/eng/mm462
  • https://www.mathnet.ru/eng/mm/v15/i5/p80
  • This publication is cited in the following 6 articles:
    1. Bedrikova E.A., Latyshev A.V., “Chemical Potential Jump During Evaporation of Bose Gases”, Low Temp. Phys., 40:3 (2014), 228–233  crossref  adsnasa  isi  elib  scopus
    2. A. V. Latyshev, A. A. Yushkanov, “Temperature jump in degenerate quantum gases in the presence of a Bose–Einstein condensate”, Theoret. and Math. Phys., 162:1 (2010), 95–105  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    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
    4. Kvashnin A.Yu., Latyshev A.V., Yushkanov A.A., “Isothermal slip of a quantum Bose gas with specular-diffuse reflection from the boundary”, Low Temperature Physics, 36:4 (2010), 325–328  crossref  adsnasa  isi  elib  scopus
    5. A. V. Latyshev, A. A. Yushkanov, “Smolukhowski problem for degenerate Bose gases”, Theoret. and Math. Phys., 155:3 (2008), 936–948  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. D. V. Konev, V. I. Tsurkov, “Reaktsiya vyrozhdennogo boze-gaza na temperaturnye vozmuscheniya v uproschennoi modeli perenosa”, Matem. modelirovanie, 19:8 (2007), 3–14  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:95
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