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

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

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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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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
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
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
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
5. A. N. Shramkov, P. P. Shtifanyuk, “Branching of symmetric solution of molecular field equation”, Theoret. and Math. Phys., 90:2 (1992), 166–174
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
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