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, 2007, Volume 151, Number 1, Pages 155–171
DOI: https://doi.org/10.4213/tmf6018 (Mi tmf6018) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A model of the liquid–crystal phase transition and the quasicrystal model of liquid

É. A. Arinstein

Tyumen State University
Full-text PDF (377 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6018
Abstract: We compare properties of the crystal structure and of the quasicrystal model of liquid. We show that if the Lennard-Jones potential is used to model the properties of argon, then the temperature of the phase transition between the densely packed face-centered and the body-centered cubic structure is very close to the liquid–crystal transition temperature. Based on this, we propose a model of the phase transition consisting in a change of just the short-range order, which then leads to a change of the long-range order.
Keywords: radial function, quasicrystal model, lattice gas, short-range order, long-range order, phase transition.
Received: 01.09.2006
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 1, Pages 571–585
DOI: https://doi.org/10.1007/s11232-007-0043-y
Bibliographic databases:
Language: Russian
Citation: É. A. Arinstein, “A model of the liquid–crystal phase transition and the quasicrystal model of liquid”, TMF, 151:1 (2007), 155–171; Theoret. and Math. Phys., 151:1 (2007), 571–585
Citation in format AMSBIB
\Bibitem{Ari07}
\by \'E.~A.~Arinstein
\paper A~model of the~liquid--crystal phase transition and the~quasicrystal model of liquid
\jour TMF
\yr 2007
\vol 151
\issue 1
\pages 155--171
\mathnet{http://mi.mathnet.ru/tmf6018}
\crossref{https://doi.org/10.4213/tmf6018}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2347308}
\zmath{https://zbmath.org/?q=an:05169946}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2007TMP...151..571A}
\elib{https://elibrary.ru/item.asp?id=9521578}
\transl
\jour Theoret. and Math. Phys.
\yr 2007
\vol 151
\issue 1
\pages 571--585
\crossref{https://doi.org/10.1007/s11232-007-0043-y}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000245809000011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247199431}
Linking options:
  • https://www.mathnet.ru/eng/tmf6018
  • https://doi.org/10.4213/tmf6018
  • https://www.mathnet.ru/eng/tmf/v151/i1/p155
    • This publication is cited in the following 6 articles:
    1. E. S. Brikov, Integral Methods in Science and Engineering, 2023, 67  crossref
    2. E. A. Arinshtein, “Variational Principle in Statistical Physics”, Russ. J. Phys. Chem., 96:7 (2022), 1386  crossref
    3. Cherkas N.L., Cherkas S.L., “Smeared Lattice Model as a Framework For Order to Disorder Transitions in 2D Systems”, Crystals, 8:7 (2018), 290  crossref  isi  scopus
    4. Nadezhda L. Cherkas, Sergey L. Cherkas, The 1st International Electronic Conference on Crystals, 2018, 1117  crossref
    5. Arinshteyn E.A., “Variational Principle in the Theory of Partial Distribution Functions”, J Stat Phys, 144:4 (2011), 831–845  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. É. A. Arinstein, “Thermodynamic stability, critical points, and phase transitions in the theory of partial distribution functions”, Theoret. and Math. Phys., 155:3 (2008), 949–958  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  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:696
    Full-text PDF :352
    References:62
    First page:8
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025