Skip to main content
Log in

A comparison of the stochastic theory of the crystal growth and the Stefan problem

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The stochastic theory of the crystal growth is compared with the solution of the Stefan problem in the case of Sn solidification. It is shown that the stochastic theory gives the same results as the solution of the Stefan problem if kinetic processes at the solidification front are very rapid.

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. Chvoj Z.: Czech. J. Phys. B33 (1983) 961.

    Article  Google Scholar 

  2. Chvoj Z.: Czech. J. Phys. B33 (1983) 1060.

    Article  Google Scholar 

  3. Chvoj Z.: Czech. J. Phys. B34 (1984) 548.

    Article  Google Scholar 

  4. Bailor J. C., Emeleus H. J., Nyholm R., Trotman-Dickenson A. F.: Comprehensive Inorganic Chemistry, Vol. 2. Pergamon Press, Oxford, 1973.

    Google Scholar 

  5. Abernathey J. R., Greenwell D. W., Rosenberger F.: J. Crystal Growth47 (1979) 145.

    Article  Google Scholar 

  6. Moving Boundary Problems, (eds. D. G. Wilson, A. D. Solomon, P. T. Boggs). Academic Press New York-San Francisko-London, 1978.

    Google Scholar 

  7. Rubinstein L.: The Stefan Problem. Trans. Math. Monog. 27, A. D. Solomon, tr. Providence, RI, Amer. Math. Soc. 1971.

    Google Scholar 

  8. Landau H. G.: Q. Appl. Math.8 (1950) 81.

    Google Scholar 

  9. Furzenland R. M.: J. Inst. Maths Applics26 (1980) 411.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chvoj, Z., Přikryl, P. & Vodák, F. A comparison of the stochastic theory of the crystal growth and the Stefan problem. Czech J Phys 36, 1209–1217 (1986). https://doi.org/10.1007/BF01959612

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01959612

Keywords

Navigation