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Use of ɛ expansions in the theory of the gravitational effect

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Abstract

The equations of state found by the ɛ expansion method by Brézin, Wallace, and Wilson and Avdeeva and Migdal are applied to the investigation of the gravitational effect in the critical region. As a result, ɛ expansions are obtained for the numerical coefficients in the asymptotic behaviors of the scale functions of these equations. The results of the calculation of the coefficients are compared with available experimental data for a number of liquids and magnets.

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Literature cited

  1. A. V. Chalyi and A. D. Alekhin, Zh. Eksp. Teor. Fiz.,59, 337 (1970).

    Google Scholar 

  2. A. D. Alekhin, N. P. Krupskii, and A. V. Chalyi, Zh. Eksp. Teor. Fiz.,63, 1425 (1972).

    Google Scholar 

  3. V. L. Kuz'min and V. G. Barantsev, Vestn. Leningr. Univ., No. 4, 71 (1972).

    Google Scholar 

  4. P. C. Hohenberg and M. Bagmatz, Phys. Rev., A6, 289 (1972).

    Google Scholar 

  5. A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  6. K. G. Wilson and J. Kogut, “The renormalization group and the ɛ expansion,” Phys. Rep. Phys. Lett., C12, No. 2, 75–100 (1974).

    Google Scholar 

  7. E. Brézin, D. J. Wallace, and K. G. Wilson, Phys. Rev. Lett.,29, 591 (1972).

    Google Scholar 

  8. G. M. Avdeeva and A. A. Migdal, Pis'ma Zh. Eksp. Teor. Fiz.,16, 253 (1972).

    Google Scholar 

  9. A. D. Alekhin and N. P. Krupskii, Pis'ma Zh. Eksp. Teor. Fiz.,14, 581 (1971).

    Google Scholar 

  10. M. Barmatz, P. C. Hohenberg, and A. Kornblit, Phys. Rev., B12, 1947 (1975).

    Google Scholar 

  11. J. T. Ho and J. D. Litster, Phys. Rev. Lett.,22, 603 (1969).

    Google Scholar 

  12. J. S. Kouvel and J. B. Comly, Phys. Rev. Lett.,20, 1237 (1968).

    Google Scholar 

  13. M. Vicentini-Missoni, R. I. Joseph, M. S. Green, and J. M. H. Levelt Sengers, Phys. Rev., B1, 2312 (1970).

    Google Scholar 

  14. V. N. Zozulya and Yu. P. Blagoi, Fiz. Nizk. Temp.,1, 1171 (1975).

    Google Scholar 

  15. F. J. Wegner, Phys. Rev., B5, 4529 (1972); A. V. Chalyi, Ukr. Fiz. Zh.,18, 1887 (1973);21, 474 (1976); A. T. Berestov, Zh. Eksp. Teor. Fiz.,72, 348 (1977).

    Google Scholar 

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Authors and Affiliations

  1. T. G. Shevchenko State University, Kiev

    V. I. Zadorozhnyi & A. V. Chalyi

Authors
  1. V. I. Zadorozhnyi
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  2. A. V. Chalyi
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 77–81, May, 1980.

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Zadorozhnyi, V.I., Chalyi, A.V. Use of ɛ expansions in the theory of the gravitational effect. Soviet Physics Journal 23, 425–428 (1980). https://doi.org/10.1007/BF00891634

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  • DOI: https://doi.org/10.1007/BF00891634

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