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Statistical Way of Calculating the Average Number of Molecules of Critical Nuclei in Homogeneous Nucleation

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A way of estimating the average number of molecules in the nuclei of a condensing liquid phase is proposed. The procedure is based on statistical calculations of fluctuations in the density of molecules in a medium. The average number of molecules in the nuclei of water droplets of critical size is calculated in the temperature range of 273 to 373 K using data from molecular dynamics modeling.

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REFERENCES

  1. Gibbs, J.W., The Scientific Papers, vol. 1: Thermodynamics, New York: Longmans, 1906.

    MATH  Google Scholar 

  2. Volmer, M., Kinetik der Phasenbildung (Kinetics of Phase Formation), Dresden: Steinkopff, 1939.

  3. Pavlov, S.V., Bull. Russ. Acad. Sci.: Phys., 2019, vol. 83, no. 9, p. 1051.

    Article  MathSciNet  Google Scholar 

  4. Aleshin, A.N., Bull. Russ. Acad. Sci.: Phys., 2019, vol. 83, no. 10, p. 1195.

    Article  Google Scholar 

  5. Physical Metallurgy, Cahn, R.W. and Haasen, P., Eds., Amsterdam: North-Holland, 1983, 3rd ed.

    Google Scholar 

  6. Murashkevich, A.N. and Zharskii, I.M., Teoriya i metody vyrashchivaniya monokristallov (Theory and Methods of Growing Single Crystals), Minsk: Beloruss. Gos. Tekh. Univ., 2010.

  7. Shevkunov, S.V., High Temp., 2012, vol. 50, no. 2, p. 255.

    Article  Google Scholar 

  8. Shebzukhova, M.A., Shebzukhov, A.A., Bzhikhatlov, K.C., and Lyuyev, V.K., Bull. Russ. Acad. Sci.: Phys., 2019, vol. 83, no. 6, p. 749.

    Article  MathSciNet  Google Scholar 

  9. Akhmatov, Z.A., Khokonov, A.Kh., and Khoko-nov, M.Kh., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, no. 11, p. 1358.

    Article  Google Scholar 

  10. Malenkov, G.G., J. Phys.: Condens. Matter, 2009, vol. 21, 283101.

    Google Scholar 

  11. Shevkunov, S.V., J. Exp. Theor. Phys., 2009, vol. 108, p. 447.

    Article  ADS  Google Scholar 

  12. Shevkunov, S.V., High Temp., 2013, vol. 51, no. 1, p. 79.

    Article  Google Scholar 

  13. Galimzyanov, B.N. and Mokshin, A.V., Colloid J., 2017, vol. 79, no. 1, p. 26.

    Article  Google Scholar 

  14. Mokshin, A.V. and Galimzyanov, B.N., Russ. J. Phys. Chem. B, 2017, vol. 11, no. 3, p. 473.

    Article  Google Scholar 

  15. Mokshin, A.V. and Galimzyanov, B.N., J. Chem. Phys., 2014, vol. 140, 024104.

    Article  ADS  Google Scholar 

  16. Mokshin, A.V., Galimzyanov, B.N., and Barrat, J.L., Phys. Rev. E, 2013, vol. 87, 062307.

    Article  ADS  Google Scholar 

  17. Landau, L.D. and Lifshits, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1976.

  18. Mokshin, A.V. and Galimzyanov, B.N., J. Phys. Chem. B, 2012, vol. 116, no. 39, 11959.

    Article  Google Scholar 

  19. Moore, E.B. and Molinero, V., Nature, 2011, vol. 479, p. 506.

    Article  ADS  Google Scholar 

  20. Molinero, V. and Moore, E.B., J. Phys. Chem. B, 2009, vol. 113, p. 4008.

    Article  Google Scholar 

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Correspondence to Yu. V. Syrovatko.

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Translated by T. Sokolova

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Syrovatko, Y.V. Statistical Way of Calculating the Average Number of Molecules of Critical Nuclei in Homogeneous Nucleation. Bull. Russ. Acad. Sci. Phys. 86, 150–153 (2022). https://doi.org/10.3103/S1062873822020290

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  • DOI: https://doi.org/10.3103/S1062873822020290

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