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, 2004, Volume 141, Number 1, Pages 141–151
DOI: https://doi.org/10.4213/tmf115
(Mi tmf115)
 

This article is cited in 23 scientific papers (total in 23 papers)

Thermodynamic Equilibrium in the System of Chaotic Quantized Vortices in a Weakly Imperfect Bose Gas

S. K. Nemirovskii

Institute of Thermophysics, Siberian Branch of the Russian Academy of Science
References:
Abstract: In the example of a weakly imperfect Bose gas, we discuss the mechanism of establishing thermodynamic equilibrium for a chaotic set of quantum vortex filaments. We assume that the dynamics of the Bose condensate is described by the Gross–Pitaevsky equation with an additional noise satisfying the fluctuation-dissipation theorem. In considering a vortex filament as the intersection line of surfaces on which the real and imaginary parts of the order parameter $\psi(\mathbf x,t)$ vanish, we obtain an equation of the Langevin type for elements of the vortex filament with an appropriately transformed random force. The Fokker–Planck equation for the probability density has a solution given by the Gibbs distribution at the temperature of the Bose condensate. In other words, when the Bose condensate is in thermal equilibrium and no other random actions exist, the system of vortices is also in thermal equilibrium.
Keywords: quantum vortex filaments, Bose gas, thermodynamic equilibrium, superfluid turbulence.
Received: 11.08.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 141, Issue 1, Pages 1452–1460
DOI: https://doi.org/10.1023/B:TAMP.0000043860.52270.0c
Bibliographic databases:
Language: Russian
Citation: S. K. Nemirovskii, “Thermodynamic Equilibrium in the System of Chaotic Quantized Vortices in a Weakly Imperfect Bose Gas”, TMF, 141:1 (2004), 141–151; Theoret. and Math. Phys., 141:1 (2004), 1452–1460
Citation in format AMSBIB
\Bibitem{Nem04}
\by S.~K.~Nemirovskii
\paper Thermodynamic Equilibrium in the System of Chaotic Quantized Vortices in a~Weakly Imperfect Bose Gas
\jour TMF
\yr 2004
\vol 141
\issue 1
\pages 141--151
\mathnet{http://mi.mathnet.ru/tmf115}
\crossref{https://doi.org/10.4213/tmf115}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2036109}
\zmath{https://zbmath.org/?q=an:1178.82013}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004TMP...141.1452N}
\transl
\jour Theoret. and Math. Phys.
\yr 2004
\vol 141
\issue 1
\pages 1452--1460
\crossref{https://doi.org/10.1023/B:TAMP.0000043860.52270.0c}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000225149500009}
Linking options:
  • https://www.mathnet.ru/eng/tmf115
  • https://doi.org/10.4213/tmf115
  • https://www.mathnet.ru/eng/tmf/v141/i1/p141
  • This publication is cited in the following 23 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
    Statistics & downloads:
    Abstract page:432
    Full-text PDF :215
    References:63
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024