Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 3, Pages 491–502
DOI: https://doi.org/10.4213/tmf549 (Mi tmf549) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Boundary Problems for a Quantum Fermi Gas

A. V. Latyshev, A. A. Yushkanov

Moscow Pedagogical University, Moscow, Russian Federation
Full-text PDF (203 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf549
Abstract: We derive a relaxation kinetic equation describing the behavior of Fermi gases. We consider the Kramers problem for the isothermal slipping in a half-space and obtain an analytic solution of the problem and the explicit form of the distribution function for particles moving toward the wall. We analyze the dependence of the equation itself and the slipping velocity on the parameter, the ratio between the chemical potential and the product of the Boltzmann constant and the absolute temperature.
Received: 30.03.2001
Revised: 28.05.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 3, Pages 1717–1726
DOI: https://doi.org/10.1023/A:1013067418600
Bibliographic databases:
Language: Russian
Citation: A. V. Latyshev, A. A. Yushkanov, “Boundary Problems for a Quantum Fermi Gas”, TMF, 129:3 (2001), 491–502; Theoret. and Math. Phys., 129:3 (2001), 1717–1726
Citation in format AMSBIB
\Bibitem{LatYus01}
\by A.~V.~Latyshev, A.~A.~Yushkanov
\paper Boundary Problems for a Quantum Fermi Gas
\jour TMF
\yr 2001
\vol 129
\issue 3
\pages 491--502
\mathnet{http://mi.mathnet.ru/tmf549}
\crossref{https://doi.org/10.4213/tmf549}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1905070}
\zmath{https://zbmath.org/?q=an:1031.82027}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 129
\issue 3
\pages 1717--1726
\crossref{https://doi.org/10.1023/A:1013067418600}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173128700007}
Linking options:
  • https://www.mathnet.ru/eng/tmf549
  • https://doi.org/10.4213/tmf549
  • https://www.mathnet.ru/eng/tmf/v129/i3/p491
    • This publication is cited in the following 10 articles:
    1. O. E. Raichev, “Linking boundary conditions for kinetic and hydrodynamic description of fermion gas”, Phys. Rev. B, 105:4 (2022)  crossref
    2. Habibi M., Ghamari F., “Improved Focusing of a Cosh-Gaussian Laser Beam in Quantum Plasma: Higher Order Paraxial Theory”, IEEE Trans. Plasma Sci., 43:7 (2015), 2160–2165  crossref  adsnasa  isi  scopus  scopus
    3. A. V. Latyshev, A. A. Yushkanov, “Novyi metod resheniya granichnykh zadach kineticheskoi teorii”, Zh. vychisl. matem. i matem. fiz., 52:3 (2012), 539–552  mathnet  zmath  elib
    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  scopus
    5. Kvashnin A.Yu., Latyshev A.V., Yushkanov A.A., “Isothermal Slip of a Fermi Gas with Specular-Diffuse Reflection From the Boundary”, Russian Physics Journal, 52:12 (2009), 1251–1257  crossref  zmath  adsnasa  isi  elib  scopus  scopus
    6. Kostikova, AA, “The Kramers problem with accommodative boundary conditions for quantum Fermi gases”, Low Temperature Physics, 34:9 (2008), 724  crossref  adsnasa  isi  scopus  scopus
    7. Lyubimova, NN, “An Exact Solution of the Boundary Value Problem on Thermal Creep for a Quantum Fermi Gas”, Doklady Mathematics, 78:2 (2008), 788  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    8. A. G. Nefedov, “Barnett slip of the Fermi gas”, Russ Phys J, 50:10 (2007), 1004  crossref
    9. A. V. Latyshev, N. N. Lyubimova, A. A. Yushkanov, “Thermal slip of Fermi gases”, Russ Phys J, 49:7 (2006), 690  crossref
    10. A. V. Latyshev, A. A. Yushkanov, “Kinetic Equation for Quantum Fermi Gases and the Analytic Solution of Boundary Value Problems”, Theoret. and Math. Phys., 134:2 (2003), 271–284  mathnet  crossref  crossref  mathscinet  zmath  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
    Statistics & downloads:
    Abstract page:467
    Full-text PDF :275
    References:82
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025