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, 1999, Volume 119, Number 1, Pages 167–176
DOI: https://doi.org/10.4213/tmf735
(Mi tmf735)
 

This article is cited in 21 scientific papers (total in 21 papers)

Classical statistics of one-component systems with model potentials

A. Yu. Zakharova, I. K. Loktionovb

a Novgorod State University after Yaroslav the Wise
b Donetsk National Technical University
References:
Abstract: We obtain a functional integral representation of the configuration integral for one-component classical systems with two-particle potentials admitting the Fourier expansion. In this representation, the integrand is factored with respect to the atomic coordinates. The “monoatomic” factors are universal (i.e., independent of the explicit form of the interatomic potential). We obtain a sufficient condition for spontaneous symmetry breaking in continuous classical statistics models. We investigate the case of model potentials with a nonnegative Fourier transform. The functional integral for this class of potentials is calculated using the saddle-point method. We prove the existence of phase transitions for some model potentials.
Received: 26.03.1998
Revised: 03.09.1998
English version:
Theoretical and Mathematical Physics, 1999, Volume 119, Issue 1, Pages 532–539
DOI: https://doi.org/10.1007/BF02557350
Bibliographic databases:
Language: Russian
Citation: A. Yu. Zakharov, I. K. Loktionov, “Classical statistics of one-component systems with model potentials”, TMF, 119:1 (1999), 167–176; Theoret. and Math. Phys., 119:1 (1999), 532–539
Citation in format AMSBIB
\Bibitem{ZakLok99}
\by A.~Yu.~Zakharov, I.~K.~Loktionov
\paper Classical statistics of one-component systems with model potentials
\jour TMF
\yr 1999
\vol 119
\issue 1
\pages 167--176
\mathnet{http://mi.mathnet.ru/tmf735}
\crossref{https://doi.org/10.4213/tmf735}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1702788}
\zmath{https://zbmath.org/?q=an:0942.82027}
\transl
\jour Theoret. and Math. Phys.
\yr 1999
\vol 119
\issue 1
\pages 532--539
\crossref{https://doi.org/10.1007/BF02557350}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000081250900013}
Linking options:
  • https://www.mathnet.ru/eng/tmf735
  • https://doi.org/10.4213/tmf735
  • https://www.mathnet.ru/eng/tmf/v119/i1/p167
  • This publication is cited in the following 21 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024