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Solutions of the BBGKI equations in the fourth approximation in the temperature

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Abstract

Solutions of the Bogolyubov-Born-Green-Kirkwood-Ivon equations in the fourth approximation in the temperature are given in a class of generalized functions both for van der Waals and ionic crystals in the case of the so-called taking into account of “smoothed” correlations. A statistical thermodynamics of strongly anharmonic van der Waals and ionic crystals is constructed. Temperature expansions of the correlative distribution functions and thermodynamic quantities are investigated within the framework of the indicated method. The temperature dependence of cubic order is taken into account in the expression of the isochoric specific heat and the Grüneisen parameter of the listed crystals. It is shown that the temperature expansion for the isochoric specific heat of anharmonic crystals converges well for a value of the reduced temperature ≈ 0.33 Tm (Tm is the melting temperature).

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Literature cited

  1. I. I. Ol'khovskii, Dokl. Akad. Nauk SSSR,208, 808 (1973);221, 1063 (1975); Teor. Mat. Fiz.,15, 382 (1973);23, 399 (1975); Izv. Vyssh Uchebn. Zaved., Fiz., No. 1, 14 (1976).

    Google Scholar 

  2. I. I. Ol'khovskii and V. L. Ékelekyan, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 60 (1976).

    Google Scholar 

  3. I. I. Ol'khovskii and V. L. Ékelekyan, Izv. Vyssh. Uchebn, Zaved., Fiz., No. 11,86, 92 (1975); No. 10, 129 (1976).

    Google Scholar 

  4. I. I. Ol'khovskii and V. L. Ékelekyan, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 44 (1976).

    Google Scholar 

  5. N. N. Bogolyubov, Collected Works [in Russian], Vol. 2, Kiev (1970).

  6. D. C. Wallace and J. L. Patrick, Phys. Rev.,137, A152 (1965); J. E. Jones and A. E. Ingham, Proc. Roy. Soc.,A107, 636 (1925).

    Google Scholar 

  7. P. Ewald, Ann. Phys.,64, 250 (1921).

    Google Scholar 

  8. G. Leibfried and V. Ludwig, Theory of Anharmonic Effects in Crystals [Russian translation], Inostr. Lit., Moscow (1963).

    Google Scholar 

  9. V. A. Golovko, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 85 (1978); No. 2, 67 (1979).

    Google Scholar 

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Authors and Affiliations

  1. M. V. Lomonosov State University, Moscow

    V. L. Ékelekyan

Authors
  1. V. L. Ékelekyan
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 55–59, July, 1981.

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Ékelekyan, V.L. Solutions of the BBGKI equations in the fourth approximation in the temperature. Soviet Physics Journal 24, 626–630 (1981). https://doi.org/10.1007/BF00893895

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  • DOI: https://doi.org/10.1007/BF00893895

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