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A Criterion for the Thermodynamic Stability of a Liquid Based on the Wavelet Expansion of the Binary Correlation

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Abstract

The study of local structures based on wavelet expansion has become popular over the last few years [2]. As applied to the theory of a liquid, wavelets realize the concept of smeared distributions analyzed in detail by Frenkel [1]. In the present paper, a modification of the stability condition for the liquid well known in the method of partial distribution functions is investigated based on the wavelet expansion. Limitations on the model parameters are obtained. The condition for stability loss of the liquid in the sense of crystal formation is determined.

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REFERENCES

  1. Ya. I. Frenkel, Kinetic Theory of Liquids [in Russian], Nauka, Leningrad (1975).

  2. N. M. Astaf'eva, Usp. Fiz. Nauk, 166, No. 11, 1147 (1996).

    Google Scholar 

  3. ´E. A. Arinshtein, Teor. Mat. Fiz., 124, No. 1, 136–147 (2000).

    Google Scholar 

  4. ´E. A. Arinshtein, in: Proc. 4th Int. Semin. Current Problems in Strength of Materials, Vol. 2, Velikii Novgorod (2000), pp. 184–188.

    Google Scholar 

  5. C. A. Croxton, Liquid State Physics [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  6. A. Z. Patashinskii and V. L. Pokrovskii, The Fluctuation Theory of Phase Transitions [in Russian], Nauka, Moscow (1982).

  7. ´E. A. Arinshtein, Dokl. Akad. Nauk SSSR, 112, No. 4, 615 (1957).

    Google Scholar 

  8. ´E. A. Arinshtein, Dokl. Akad. Nauk SSSR, 114, No. 6, 1189 (1957).

    Google Scholar 

  9. ´E. A. Arinshtein, Doctoral Thesis in Physical and Mathematical Sciences, Tomsk (1972).

  10. S. V. Tyablikov, Zh. Eksp. Teor. Fiz., 17, No. 5, 386 (1947).

    Google Scholar 

  11. A. A. Vlasov, Multiparticle Theory [in Russian], Moscow (1950).

  12. J. Kirkwood and E. Monroe, J. Chem. Phys., 9, No. 7, 515 (1941).

    Google Scholar 

  13. ´E. A. Arinshtein, E. S. Brikov, and I. A. Gusev, Vestn. Tyumensk. Univ., No. 3 (2000).

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Authors
  1. É. A. Arinshtein
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  2. R. M. Ganopol'skii
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Arinshtein, É.A., Ganopol'skii, R.M. A Criterion for the Thermodynamic Stability of a Liquid Based on the Wavelet Expansion of the Binary Correlation. Russian Physics Journal 47, 349–352 (2004). https://doi.org/10.1023/B:RUPJ.0000042762.57577.ab

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  • DOI: https://doi.org/10.1023/B:RUPJ.0000042762.57577.ab

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