Skip to main content

Dynamics ofStructure Formation in Thin Liquid Films: A Special Spatial Analysis

  • Conference paper
  • First Online:
Statistical Physics and Spatial Statistics

Part of the book series: Lecture Notes in Physics ((LNP,volume 554))

Abstract

The characterization of morphologies that are not perfectly regular is a very dificult task, since there is no simple “measure” for imperfections and asymmetries. We faced this problem by trying to describe the pattern that evolves in the course of the dewetting of a thin polymer film as compared with the scenario that takes place in a thin gold film. With the help of the Minkowski functionals we found significant differences in the pattern of the two systems: We were able to distinguish a spinodal dewetting mechanism for the gold film from heterogeneous nucleation for the polymer film. Moreover, we show how a temporal development of a pattern can be characterized by Minkowski functionals.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barthlott, W., C. Neinhuis (1997): ‘Purity of the sacred lotus, or escape from contamination in biological surfaces’, Planta 202, pp. 1–8

    Article  Google Scholar 

  2. Bischof, J., D. Scherer, S. Herminghaus, P. Leiderer (1996): ‘Dewetting modes of thin metallic films: Nucleation of holes and spinodal dewetting’, Phys. Rev. Lett. 77, pp. 1536–1539

    Article  ADS  Google Scholar 

  3. Brochard-Wyart, F., J. Daillant (1990): ‘Drying of solids wetted by thin liquid films’, Can. J. Phys. 68, pp. 1084–1088

    ADS  Google Scholar 

  4. Brochard-Wyart, F., P.G. De Gennes, H. Hervet, C. Redon (1994): ‘Wetting and slippage of polymer melts on semi-ideal surfaces’, Langmuir 10, pp. 1566–1572

    Article  Google Scholar 

  5. Brochard-Wyart, F., J.M. di Meglio, D. Quere (1987): ‘Dewetting: Growth of dry regions from a film covering a flat solid or a fiber’, C. R. Acad. Sci. Paris II 304, pp. 533–558

    Google Scholar 

  6. Brochard, F., C. Redon, C. Sykes (1992): ‘Dewetting of ultrathin liquid films’, C. R. Acad. Sci. Paris II 314, pp. 19–24

    Google Scholar 

  7. Cahn, J.W. (1965): ‘Phase separation by spinodal decomposition in isotropic systems’, J. Chem. Phys. 42, pp. 93–99

    Article  ADS  Google Scholar 

  8. Herminghaus, S., A. Fery, S. Schlagowski, K. Jacobs, R. Seemann, H. Gau, W. Mönch, T. Pompe (2000): ‘Liquid= microstructures at solid interfaces’, J. Phys.: Condensed Matter 12, pp. 57–74

    Article  ADS  Google Scholar 

  9. Herminghaus, S., K. Jacobs, K.R. Mecke, J. Bischof, A. Fery, M. Ibn-Elhaj, S. Schlagowski (1998): ‘Spinodal dewetting in liquid crystal and liquid metal films’, Science 282, pp. 916–919

    Article  ADS  Google Scholar 

  10. Jacobs, K., S. Herminghaus, K.R. Mecke (1998): ‘Thin liquid polymer films rupture via defects’, Langmuir 14, pp. 965–969

    Article  Google Scholar 

  11. Jacobs, K., R. Seemann, G. Schatz, S. Herminghaus (1998): ‘Growth of holes in liquid films with partial slippage’, 14, pp. 4961–4963

    Google Scholar 

  12. Mitlin, V.S. (1993): ‘Dewetting of solid surface: analogy with spinodal decomposition’, J. Coll. Interf. Sci. 156, pp. 491–497

    Article  Google Scholar 

  13. Mecke, K.R. (1994): Integralgeometrie in der Statistischen Physik-Perkolation, komplexe Flüssigkeiten und die Struktur des Universum, Reihe Physik Bd. 25 (VerlagHarri Deutsch, Frankfurt a.M.)

    Google Scholar 

  14. Mecke, K.R. (1996): ‘Morphological characterization of patterns in reactiondi diffusion systems’, Phys. Rev. E 53, pp. 4794–4800

    ADS  Google Scholar 

  15. Mecke, K.R. (1998): ‘Integral geometries in statistical physics’, Int. J. Mod. Phys. B 12, pp. 861–899 and references therein

    ADS  MathSciNet  Google Scholar 

  16. Mecke, K.R., Th. Buchert, H. Wagner (1994): ‘Robust morphological measures for large-scale structure in the universe’, Astron. Astrophys. 288, pp. 697–704

    ADS  Google Scholar 

  17. Redon, C., F. Brochard-Wyart, F. Rodelez (1991): ‘Dynamics of dewetting’, Phys. Rev. Lett. 66, pp. 715–718

    Article  ADS  Google Scholar 

  18. Reiter, G. (1992): ‘Dewetting of thin polymer films’, Phys. Rev. Lett. 68, pp. 751–754

    Article  Google Scholar 

  19. Reiter, G. (1993): ‘Unstable thin polymer films: rupture and dewetting processes’, Langmuir 9, pp. 1344–1351

    Article  Google Scholar 

  20. Rosenfeld, A., A.C. Kak (1976): in: Digital picture processing (Academic Press, New York) and references therein

    Google Scholar 

  21. Ruckenstein, E., R.K. Jain (1974): ‘Spontaneous rupture of thin liquid films’, Faraday Trans. 70, pp. 132–147

    Article  Google Scholar 

  22. Ripley, B. (1976): ‘The second-order analysis of stationary point processes’, J. Appl. Probab. 13, pp. 255–266

    Article  MATH  MathSciNet  Google Scholar 

  23. Schladitz, K.: private communication

    Google Scholar 

  24. Serra, J. (1982): in: Image analysis and mathematical morphology, Vol. 1 and 2, (Academic Press, New York)

    MATH  Google Scholar 

  25. Sharma, A., G. Reiter (1996): ‘Instability of thin polymer films on coated substrates: rupture, dewetting and drop formation’, J. Coll. Interface Sci. 178, pp. 383–390

    Article  Google Scholar 

  26. Shull, K.R., T.E. Karis (1994): ‘Dewetting dynamics for large equilibrium contact angles’, Langmuir 10, pp. 334–339

    Article  Google Scholar 

  27. Stange, T.G., D.F. Evans, W.A. Hendrickson (1997): ‘Nucleation and growth of defects leading to dewetting of thin polymer films’, Langmuir 13, pp. 4459–4465

    Article  Google Scholar 

  28. Stoyan, D.: private communication

    Google Scholar 

  29. Stoyan, D., W.S. Kendall, J. Mecke (1995): in: Stochastic geometry and its applications, 2nd ed. (John Wiley Ltd.)

    Google Scholar 

  30. van der Wielen, M.W.J., M.A. Cohen-Stuart, G.J. Fleer (1998): ‘Autophobicity and layering behavior of thin liquid-crystalline polymer films’, 14, pp. 7065–7071

    Google Scholar 

  31. Weaire, D., N. Rivier (1984): ‘Soap, cells and statistics-random patterns in two dimensions’, Contem. Phys. 25, pp. 59–99

    Article  ADS  Google Scholar 

  32. Xie, R., A. Karim, J.F. Douglas, C.C. Han, R.A. Weiss (1998): ‘Spinodal dewetting of thin polymer films’, Phys. Rev. Lett. 81, pp. 1251–1254

    Article  ADS  Google Scholar 

  33. Yerushalmi-Rozen, R., J. Klein, L.W. Fetters (1994): ‘Suppression of rupture in thin, nonwetting liquid fllms’, Science 263, pp. 793–795

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jacobs, K., Seemann, R., Mecke, K. (2000). Dynamics ofStructure Formation in Thin Liquid Films: A Special Spatial Analysis. In: Mecke, K.R., Stoyan, D. (eds) Statistical Physics and Spatial Statistics. Lecture Notes in Physics, vol 554. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45043-2_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-45043-2_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67750-5

  • Online ISBN: 978-3-540-45043-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics