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Uspekhi Fizicheskikh Nauk, 1991, Volume 161, Number 6, Pages 109–147
DOI: https://doi.org/10.3367/UFNr.0161.199106c.0109 (Mi ufn7406) 		 
This article is cited in 44 scientific papers (total in 44 papers)

REVIEWS OF TOPICAL PROBLEMS

Methods of the theory of singularities in the phenomenology of phase transitions

E. I. Kut'ina, V. L. Lormanb, S. V. Pavlovc

a Rostov State Pedagogical Institute
b Research Institute of Physics at RSU
c Lomonosov Moscow State University
Full-text PDF (593 kB) Citations (44)
DOI: https://doi.org/10.3367/UFNr.0161.199106c.0109
Abstract: A review is presented on the methods of the theory of singularities applied to the Landau phenomenological theory of phase transitions. Constructive algorithms are presented that eliminate arbitrariness in the choice of the Landau potential and make it possible to exclude from consideration models with nonphysical results. The methods of singularity theory are illustrated by application to several real thermodynamic systems.
Received: May 3, 1990
Revised: October 18, 1990
English version:
Physics–Uspekhi, 1991, Volume 34, Issue 6, Pages 497–514
DOI: https://doi.org/10.1070/PU1991v034n06ABEH002385
Document Type: Article
UDC: 515.164:517.925:536.42
PACS: 64.60.Cn
Language: Russian
Citation: E. I. Kut'in, V. L. Lorman, S. V. Pavlov, “Methods of the theory of singularities in the phenomenology of phase transitions”, UFN, 161:6 (1991), 109–147; Phys. Usp., 34:6 (1991), 497–514
Citation in format AMSBIB
\Bibitem{KutLorPav91}
\by E.~I.~Kut'in, V.~L.~Lorman, S.~V.~Pavlov
\paper Methods of the theory of singularities in the phenomenology of phase transitions
\jour UFN
\yr 1991
\vol 161
\issue 6
\pages 109--147
\mathnet{http://mi.mathnet.ru/ufn7406}
\crossref{https://doi.org/10.3367/UFNr.0161.199106c.0109}
\transl
\jour Phys. Usp.
\yr 1991
\vol 34
\issue 6
\pages 497--514
\crossref{https://doi.org/10.1070/PU1991v034n06ABEH002385}
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