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Application of the hypothesis of isomorphism of critical phenomena for calculating the correlation function of a binary mixture in a gravitational field

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Abstract

Questions concerning the application of the theory of scaling transformations with the use of the hypothesis of isomorphism are considered for an analysis of the behavior of the correlation functions of binary mixtures which are at the liquid -vapor critical point in a gravitational field. Explicit expressions are obtained for the height and temperature dependence of the correlation functions of a binary mixture for the limiting directions which are isomorphous to the critical isotherm and isochore of a system with an isolated critical point.

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Literature cited

  1. A. D. Alekhin, A. Z. Golik, N. P. Krupskii, A. V. Chalyi, and Yu. I. Shimanskii, in: Physics of the Liquid State, No. 1, [in Russian], KGU, Kiev (1973); N. P. Krupskii, Candidate's Dissertation, Odessa (1973).

    Google Scholar 

  2. I. A. Fakhretdinov and A. V. Chalyi, Ukr. Fiz. Zh.,20, 804 (1975).

    Google Scholar 

  3. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  4. R. Griffiths and J. Wheeler, Phys. Rev.,A2, 1047 (1970).

    Google Scholar 

  5. M. E. Fisher, Phys. Rev.,176, 257 (1968).

    Google Scholar 

  6. M. A. Anisimov, E. E. Gorodetskii, and N. G. Shmakov, Zh. éksp. Teor. Fiz.,63, 2156 (1972).

    Google Scholar 

  7. A. Z. Patashinskii, V. L. Pokrovskii, and S. B. Khokhlachev, Zh. éksp. Teor. Fiz.,63, 1521 (1972).

    Google Scholar 

  8. A. Z. Patashinskii and V. L. Pokrovskii, Zh. éksp. Teor. Fiz.,50, 439 (1966); L. P. Kadanoff, Physics,2, 263 (1966).

    Google Scholar 

  9. E. L. Lakoza, V. M. Sysoev, and A. V. Chalyi, Zh. éksp. Teor. Fiz.,65, 605 (1973).

    Google Scholar 

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Authors and Affiliations

  1. T. G. Shevchenko Kiev State University, USSR

    I. A. Fakhretdinov & A. V. Chalyi

Authors
  1. I. A. Fakhretdinov
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  2. A. V. Chalyi
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 89–93, January, 1976.

The authors are grateful to Prof. Yu. I. Shimanskii for useful discussions.

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Fakhretdinov, I.A., Chalyi, A.V. Application of the hypothesis of isomorphism of critical phenomena for calculating the correlation function of a binary mixture in a gravitational field. Soviet Physics Journal 19, 71–74 (1976). https://doi.org/10.1007/BF00894321

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  • DOI: https://doi.org/10.1007/BF00894321

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