Skip to main content
Log in

Instabilities in thin-film binary mixtures

  • Rapid Note
  • Published:
The European Physical Journal E Aims and scope Submit manuscript

Abstract.

Binary mixtures of ultra-thin films are subject to both height and concentration fluctuations, either of which, under the appropriate conditions, can become unstable. We investigate a simple general thermodynamic model which shows that, due to the constraint imposed upon coupling between these fluctuations, a thin-film binary mixture will be less stable than if either height or concentration fluctuations are considered in isolation. We investigate the height dependence of the stability condition, discuss equilibrium conditions when higher-order contributions to the free energy are negligible, and predict the scaling behaviour.

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.

References

  1. U. Thiele, M.G. Velarde, K. Neuffer, Phys. Rev. Lett. 87, 016104 (2001).

    Google Scholar 

  2. U. Thiele, K. Neuffer, Y. Pomeau, M.G. Velarde, Colloid Surf. A 206, 135 (2002).

    Article  Google Scholar 

  3. K. Kargupta A. Sharma, J. Colloid Interface Sci. 245, 99 (2002).

    Article  Google Scholar 

  4. J. Becker, G. Grun, R. Seemann, H. Mantz, K. Jacobs, K.R. Mecke, R. Blossey, Nature Mater. 2, 59 (2003).

    Article  Google Scholar 

  5. F. Bruder, R. Brenn, Phys. Rev. Lett. 69, 624 (1992).

    Google Scholar 

  6. M. Geoghegan, G. Krausch, Prog. Polym. Sci. 28, 261 (2002).

    Article  Google Scholar 

  7. H. Wang, J.F. Douglas, S.K. Satija, R.J. Composto, C.C. Han, Phys. Rev. E 67, 061801 (2003).

    Article  Google Scholar 

  8. G. Nisato, B.D. Ermi, J.F. Douglas, A. Karim, Macromolecules 32, 2356 (1999).

    Article  Google Scholar 

  9. S. Puri, H.L. Frisch, J. Phys. Condens. Matter 9, 2109 (1997).

    Article  Google Scholar 

  10. M. Plapp, J.-F. Gouyet, Phys. Rev. Lett. 78, 4970 (1997).

    Google Scholar 

  11. K. Binder, S. Puri, H.L. Frisch, Faraday Discuss. 112, 103 (1999).

    Article  Google Scholar 

  12. H. Wang, R.J. Composto, J. Chem. Phys. 113, 10386 (2000).

    Article  Google Scholar 

  13. R. Yerushalmi-Rozen, T. Kerle, J. Klein, Science 285, 1254 (1999).

    Article  Google Scholar 

  14. J.N. Israelachvili, Intermolecular and Surface Forces, 2nd ed. (Academic Press, London, 1991).

  15. V.S. Mitlin, J. Colloid Interface Sci. 156, 491 (1993).

    Article  Google Scholar 

  16. A. Sharma, R. Khanna, J. Chem. Phys. 110, 4929 (1999).

    Article  Google Scholar 

  17. A. Oron, S.H. Davis, S.G. Bankoff, Rev. Mod. Phys. 69, 931 (1997).

    Article  Google Scholar 

  18. A. Pototsky, M. Bestehorn, D. Merkt, U. Thiele, e-Print archive mirror: nlin.PS/0401042.

  19. A. Sharma, J. Mittal, Phys. Rev. Lett. 89, 186101 (2002).

    Google Scholar 

  20. P.C. Hohenberg, B.I. Halperin, Rev. Mod. Phys. 49, 435 (1977).

    Article  Google Scholar 

  21. H.P. Fischer, W. Dieterich, Phys. Rev. E 56, 6909 (1997).

    Article  Google Scholar 

  22. A. Vrij, Discuss. Faraday Soc. 42, 23 (1966).

    Article  Google Scholar 

  23. I.G. Kokkinos, M.K. Kosmas, Macromolecules 36, 6252 (2003).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. Clarke.

Additional information

Received: 18 June 2004, Published online: 20 July 2004

PACS:

68.55.-a Thin film structure and morphology - 83.80.Tc Polymer blends

Rights and permissions

Reprints and permissions

About this article

Cite this article

Clarke, N. Instabilities in thin-film binary mixtures. Eur. Phys. J. E 14, 207–210 (2004). https://doi.org/10.1140/epje/i2004-10023-3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epje/i2004-10023-3

Keywords

Navigation