Skip to main content
Log in

Non-steady state homogeneous nucleation in glass-forming systems: Dimensionless kinetic equation

  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The kinetic equation of the classical homogeneous nucleation theory is rewritten in dimensionless form and it is shown that the numerical computation of the dimensionless kinetic equation is approximately 20 times faster in comparison with the original kinetic equation. The results are compared with known analytical results and with previous numerical results in the case of the constant and variable temperature for the model Li2O.2 SiO2 melt. It is shown, e.g., that under non-isothermal conditions the nucleation rate is greater than the quasistationary nucleation rate and the cluster distribution function is greater than the corresponding quasiequilibrium cluster distribution function.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Kelton K. F., Greer A. L., Thompson V.: J. Chem. Phys.79 (1983) 6261.

    Google Scholar 

  2. Kashchiev D.: Crystal Res. Technol.19 (1984) 1413.

    Google Scholar 

  3. Volterra V., Cooper A. R.: J. Non-Cryst. Solids74 (1985) 85.

    Google Scholar 

  4. Kelton K. F., Greer A. L.: J. Non-Cryst. Solids79 (1986) 295.

    Google Scholar 

  5. Zeldovich J. B.: Acta Physicochim. URSS18 (1943) 1.

    Google Scholar 

  6. Kashchiev D.: Surface Sci.18 (1969) 293.

    Google Scholar 

  7. Kashchiev D.: Ph. D. Thesis. Institute of Physical Chemistry, Sofia, 1974.

    Google Scholar 

  8. Abraham F. F.: Homogeneous nucleation theory. Academic Press, New York, 1974, p. 84.

    Google Scholar 

  9. Becker R., Doring W.: Ann. Phys.24 (1935) 719.

    Google Scholar 

  10. Gillespie D. T.: J. Chem. Phys.74 (1981) 661.

    Google Scholar 

  11. Kashchiev D.: Surface Sci.14 (1969) 209.

    Google Scholar 

  12. Kožíšek Z., Chvoj Z.: Czech. J. Phys. B39 (1989) 1.

    Google Scholar 

  13. Fowler M. E., Warten R. M.: IBM J. Res. Develop.11 (1967) 637.

    Google Scholar 

  14. Turnbull D., Fisher J. C.: J. Chem. Phys.17 (1949) 71.

    Google Scholar 

  15. Farkas L., Fendrych F.: Research Report FZU-27-87. Institute of Physics. Prague 1987.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

I would like to express my acknowledgements to Dr. D. Kashchiev forreading the manuscript and helpful comment on this work. Special thanks are due to Dr. F. Farkas and Dr. F. Fendrych (the authors of the graphic system “MINIGRAF” implementation on the computers SIEMENS 7·000 [15]) for useful discussions on applications of the graphic system.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kožíšek, Z. Non-steady state homogeneous nucleation in glass-forming systems: Dimensionless kinetic equation. Czech J Phys 40, 592–604 (1990). https://doi.org/10.1007/BF01597855

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01597855

Keywords

Navigation