Skip to main content
Log in

Theory of melting

  • Papers
  • Published:
Czechoslovak Journal of Physics Aims and scope

Abstract

The paper deals with the description of the melting phenomena in thin films with surfaces. The model is based on the Lindemann criterion applied to the mean square displacements of atoms from their equilibrium positions at the surface and inside the sample. The harmonic approximation for the interaction potential is taken into account, however, the force effective parameters are evaluated by the elastic constants whose temperature and pressure dependence allows us to consider the mean square displacements at the pseudoharmonic level. The discussion of the results shows that the film starts to melt on the surface at the temperature lower than the melting temperature. This effect corresponds to the surface melting whose main properties can be predicted. Moreover, a new type of melting kinetics is interpreted.

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. Nakaya U. and Matsumoto A.: J. Colloid. Sci.9 (1954) 41.

    Google Scholar 

  2. Faraday M.: Proc. Royal Soc. London10 (1860) 40.

    Google Scholar 

  3. Tammann G.: Z. Phys. Chem.68 (1910) 205.

    Google Scholar 

  4. Stranski I.N.: Z. Phys.119 (1942) 22.

    Google Scholar 

  5. Nenov D.:in Progress in Crystal Growth and Characterisation, Pergamon Press, Oxford, 1984.

    Google Scholar 

  6. Stock K.D. and Menzel E.: Surf. Sci.61 (1976) 272.

    Google Scholar 

  7. Nenow D., Pavlovska A., and Karl N.: J. Cryst. Growth67 (1984) 587.

    Google Scholar 

  8. Trayanov A. and Tosatti E.: Phys. Rev. B38 (1988) 6961.

    Google Scholar 

  9. Lipowsky R. and Speth W.: Phys. Rev. B28 (1983) 3983.

    Google Scholar 

  10. Pluis B. Frenken D., and van der Veen J.F.: Surf. Sci.239 (1990) 282.

    Google Scholar 

  11. Pietronero L. and Tossati E.: Solid State Commun.32 (1979) 255.

    Google Scholar 

  12. Lindemann F.A.: Z. Phys.14 (1910) 609.

    Google Scholar 

  13. Wojtczak L.: Solid State Phys. B23 (1967) K163.

    Google Scholar 

  14. Wojtczak L.: Thin Solid Films4 (1969) 229.

    Google Scholar 

  15. Malinowska-Adamska C.: Phys. Status Solidi B143 (1987) 63.

    Google Scholar 

  16. Kittel C.: Introduction to Solid State Physics, John Wiley and Sons, New York, 1956.

    Google Scholar 

  17. Pluis B.: Surface-Induced Melting of Lead (Thesis), Rijksuniversiteit te Leiden, The Niderlands, 1990.

    Google Scholar 

  18. Pluis B., Taylor T.N., Frenkel D., and van der Ween J.F.: Phys. Rev. B40 (1989) 1353.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Devoted to the memory of the late Professor Luboš Valenta. He himself prepared the main part of the manuscript of the paper; the text, particularly the concluding remarks, has been adjusted by L. Wojtczak. The calculations leading to Fig. 6 have been performed by J. Czerbniak and T. Gwizdałła.

The paper was financially supported by the Project KBN 201949101/92-94.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Valenta, L. Theory of melting. Czech J Phys 46, 607–619 (1996). https://doi.org/10.1007/BF01690679

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01690679

Keywords

Navigation