RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
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


TMF, 2012, Volume 172, Number 3, Pages 468–478 (Mi tmf8381)  

Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases

V. P. Maslovab

a Lomonosov Moscow State University, Moscow, Russia
b Moscow Institute of Electronics at National Research University "Higher School of Economics", Moscow, Russia

Abstract: We use number-theoretical methods to study the problem of particle Bose-condensation to zero energy. The parastatistical correction to the Bose–Einstein distribution establishes a relation between the quantum mechanical and statistical definitions of the Bose gas and permits correctly defining the condensation point as a gap in the spectrum in the one-dimensional case, proving the existence of the Bose condensate in the two-dimensional case, and treating the negative pressure in the classical theory of liquids as the pressure of nanopores (holes).

Keywords: two-dimensional Bose condensate, $\lambda$-point in Bose gas, two-liquid Thiess–Landau model, new classical ideal gas, fractional number of degrees of freedom, holes in incompressible liquid, negative pressure, gas mixture, Kay's rule

DOI: https://doi.org/10.4213/tmf8381

Full text: PDF file (485 kB)
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2012, 172:3, 1289–1299

Bibliographic databases:

Received: 17.06.2012

Citation: V. P. Maslov, “Taking parastatistical corrections to the Bose–Einstein distribution into account in the quantum and classical cases”, TMF, 172:3 (2012), 468–478; Theoret. and Math. Phys., 172:3 (2012), 1289–1299

Citation in format AMSBIB
\Bibitem{Mas12}
\by V.~P.~Maslov
\paper Taking parastatistical corrections to the~Bose--Einstein distribution into account in the~quantum and classical cases
\jour TMF
\yr 2012
\vol 172
\issue 3
\pages 468--478
\mathnet{http://mi.mathnet.ru/tmf8381}
\crossref{https://doi.org/10.4213/tmf8381}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3168749}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...172.1289M}
\elib{https://elibrary.ru/item.asp?id=20732524}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 172
\issue 3
\pages 1289--1299
\crossref{https://doi.org/10.1007/s11232-012-0114-6}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000309725400010}
\elib{https://elibrary.ru/item.asp?id=20495437}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84867412470}


Linking options:
  • http://mi.mathnet.ru/eng/tmf8381
  • https://doi.org/10.4213/tmf8381
  • http://mi.mathnet.ru/eng/tmf/v172/i3/p468

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:415
    Full text:86
    References:75
    First page:54

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020