Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-09T06:33:09.390Z Has data issue: false hasContentIssue false
  • English
  • Français

Fluctuations, Lindemann Criterion and Liquid-Solid Transition in Thin Films

Published online by Cambridge University Press:  10 February 2011

Alexei V. Tkachenko  and
Yitzhak Rabin
Alexei V. Tkachenko
Affiliation:
Department of Physics, Bar-IIan University Ramat-Gan 52900, Israel
Yitzhak Rabin
Affiliation:
Department of Physics, Bar-IIan University Ramat-Gan 52900, Israel
Get access

Abstract

A simple model of confinement-induced freezing in thin liquid layers is presented. Under boundary conditions of vanishing displacement field at the walls, confinement suppresses the amplitude of fluctuations in a solid film below a critical value determined by the Lindemann criterion of melting. The resulting increase of the melting temperature compared to that of a bulk solid, is estimated and the connection with experiments is discussed.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 293
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1] Israelashvili, J. N., McGuigan, P. M. and Homola, A. M., Science 240, 189 (1988).Google Scholar
[2] Van Alsten, J. and Granick, S., Phys. Rev. Lett. 61, 2570 (1988).Google Scholar
[3] Klein, J. and Kumacheva, E., Science 269, 819 (1995).Google Scholar
[4] Schoen, M., Rhykerd, C. L., Diestler, D. and Cushman, J. H., Science 245, 1223 (1989).Google Scholar
[5] Thompson, P.A. and Robbins, M.O., Science 250, 792 (1990).Google Scholar
[6] Thompson, P.A., Robbins, M.O. and Grest, G. S., Israel Journal of Chemistry 35, 93 (1995).Google Scholar
[7] Klein, J., private communication.Google Scholar
[8] Tabor, D., Gases, Liquids and Solids, 3rd ed. (Cambridge University Press, Cambridge, 1993).Google Scholar
[9] Israelashvili, J. N., Intermolecular and Surface Forces, 2nd ed. (Academic Press, London, 1991).Google Scholar
[10] Landau, L.D. and Lifshits, E. M., Theory of Elastisity, 3rd ed. (Pergamon Press, Oxford, 1986).Google Scholar
[11] Tkachenko, A. V. and Rabin, Y., submitted to Phys. Rev. Lett. Google Scholar
[12] Klein, J. and Kumacheva, E., to be published.Google Scholar
[13] Robbins, M. O., Grest, G. S., Kremer, K., Phys. Rev. B42, 5579 (1990).Google Scholar
[14] Gee, M. L., McGuiggan, P. M., Israelashvili, J. N. and Homola, A. M., J. Chem. Phys. 93, 1895 (1990).Google Scholar
[15] Campbell, S.E., Luengo, G., Srdanov, V. I., Wudl, F and Israelashvili, J. N., Nature 382, 520 (1996).Google Scholar