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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 98–113 (Mi znsl808)  
This article is cited in 3 scientific papers (total in 3 papers)

Dependence of the phase transition temperature on the domain size

V. G. Osmolovskii

Saint-Petersburg State University
Full-text PDF (206 kB) Citations (3)
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Abstract: The dependence of the phase transition temperature on the domain size is investigated for a double-well quadratic potential. It is shown that for a domain whose boundary is subjected to a hydrostatical pressure, the temperature of phase transitions is independent of the domain and the surface tension coefficient and depends exclusively on the properties of an elastic media. If the displacement field vanishes on the boundary, then for sufficiently small domains the temperature also does not depend on the surface tension and domain size and is determined by properties of an elastic media only.
Received: 15.03.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 3, Pages 304–312
DOI: https://doi.org/10.1007/s10958-005-0499-y
Bibliographic databases:
UDC: 517
Language: Russian
Citation: V. G. Osmolovskii, “Dependence of the phase transition temperature on the domain size”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 98–113; J. Math. Sci. (N. Y.), 132:3 (2006), 304–312
Citation in format AMSBIB
\Bibitem{Osm04}
\by V.~G.~Osmolovskii
\paper Dependence of the phase transition temperature on the domain size
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 310
\pages 98--113
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl808}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120187}
\zmath{https://zbmath.org/?q=an:1136.74364}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 3
\pages 304--312
\crossref{https://doi.org/10.1007/s10958-005-0499-y}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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