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TMF, 1974, Volume 21, Number 3, Pages 343–353 (Mi tmf3903)  

This article is cited in 6 scientific papers (total in 6 papers)

Phase transition with change of symmetry as bifurcation of the solution of a nonlinear integral equation

E. E. Tareeva


Abstract: A phase transition with change of space symmetry is described in terms of bifurcation of the solution of a nonlinear integral equation of Hammerstein type. The change in the symmetry on the transition and the dependence of the order parameter on the temperature are considered. The results of Landau's phenomenological theory are obtained as one of the special cases.

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English version:
Theoretical and Mathematical Physics, 1974, 21:3, 1189–1197

Bibliographic databases:

Received: 27.03.1974

Citation: E. E. Tareeva, “Phase transition with change of symmetry as bifurcation of the solution of a nonlinear integral equation”, TMF, 21:3 (1974), 343–353; Theoret. and Math. Phys., 21:3 (1974), 1189–1197

Citation in format AMSBIB
\Bibitem{Tar74}
\by E.~E.~Tareeva
\paper Phase transition with change of symmetry as bifurcation of the solution of a~nonlinear integral equation
\jour TMF
\yr 1974
\vol 21
\issue 3
\pages 343--353
\mathnet{http://mi.mathnet.ru/tmf3903}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=489590}
\zmath{https://zbmath.org/?q=an:0318.45010}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 21
\issue 3
\pages 1189--1197
\crossref{https://doi.org/10.1007/BF01038097}


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  • http://mi.mathnet.ru/eng/tmf/v21/i3/p343

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. E. E. Tareeva, T. I. Trapezina, “Orientational ordering in molecular hydrogen. I. Transition temperature and change of symmetry”, Theoret. and Math. Phys., 26:2 (1976), 180–185  mathnet  crossref
    2. E. E. Tareeva, T. I. Shchelkacheva, “Orientational ordering in molecular hydrogen. III. Phase transition of the first kind”, Theoret. and Math. Phys., 31:3 (1977), 510–514  mathnet  crossref
    3. V. N. Ryzhov, E. E. Tareeva, T. I. Shchelkacheva, “Orientational ordering in molecular hydrogen. IV. Phase transition of the second kind in the hexagonal lattice”, Theoret. and Math. Phys., 40:2 (1979), 738–742  mathnet  crossref  isi
    4. V. N. Ryzhov, E. E. Tareeva, “Statistical theory of crystallization in a system of hard spheres”, Theoret. and Math. Phys., 48:3 (1981), 835–840  mathnet  crossref  mathscinet  isi
    5. A. N. Shramkov, P. P. Shtifanyuk, “Branching of symmetric solution of molecular field equation”, Theoret. and Math. Phys., 90:2 (1992), 166–174  mathnet  crossref  mathscinet  isi
    6. V. N. Ryzhov, A. F. Barabanov, M. V. Magnitskaya, E. E. Tareeva, “Theoretical studies of condensed matter”, Phys. Usp., 51:10 (2008), 1077–1083  mathnet  crossref  crossref  adsnasa  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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