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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 2, Pages 310–324
DOI: https://doi.org/10.4213/tmf152 (Mi tmf152) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Kinetic Equation for Quantum Fermi Gases and the Analytic Solution of Boundary Value Problems

A. V. Latyshev, A. A. Yushkanov

Moscow Pedagogical University, Moscow, Russian Federation
Full-text PDF (242 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf152
Abstract: We construct a kinetic equation describing the behavior of quantum Fermi gases with the molecule collision frequency proportional to the molecule velocity. We obtain an analytic solution of the generalized Smoluchowski problem with the temperature gradient and the mass flow velocity specified away from the surface. We find exact formulas for jumps of the gas temperature, concentration, and chemical potential. Analysis of limit cases demonstrates a transition of the quantum Fermi gas to the classical or degenerate gas.
Keywords: boundary value problem, kinetic equation, dilute Fermi gas, distribution function, generalized Smoluchowski problem, temperature jumps, concentration jumps, chemical potential jumps.
Received: 14.12.2001
Revised: 22.04.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 2, Pages 271–284
DOI: https://doi.org/10.1023/A:1022236322693
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Kinetic Equation for Quantum Fermi Gases and the Analytic Solution of Boundary Value Problems”, TMF, 134:2 (2003), 310–324; Theoret. and Math. Phys., 134:2 (2003), 271–284
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 2
\pages 271--284
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  • https://doi.org/10.4213/tmf152
  • https://www.mathnet.ru/eng/tmf/v134/i2/p310
    • This publication is cited in the following 7 articles:
    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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