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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barthlott, W., C. Neinhuis (1997): ‘Purity of the sacred lotus, or escape from contamination in biological surfaces’, Planta 202, pp. 1–8
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
Brochard-Wyart, F., J. Daillant (1990): ‘Drying of solids wetted by thin liquid films’, Can. J. Phys. 68, pp. 1084–1088
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
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
Brochard, F., C. Redon, C. Sykes (1992): ‘Dewetting of ultrathin liquid films’, C. R. Acad. Sci. Paris II 314, pp. 19–24
Cahn, J.W. (1965): ‘Phase separation by spinodal decomposition in isotropic systems’, J. Chem. Phys. 42, pp. 93–99
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
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
Jacobs, K., S. Herminghaus, K.R. Mecke (1998): ‘Thin liquid polymer films rupture via defects’, Langmuir 14, pp. 965–969
Jacobs, K., R. Seemann, G. Schatz, S. Herminghaus (1998): ‘Growth of holes in liquid films with partial slippage’, 14, pp. 4961–4963
Mitlin, V.S. (1993): ‘Dewetting of solid surface: analogy with spinodal decomposition’, J. Coll. Interf. Sci. 156, pp. 491–497
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.)
Mecke, K.R. (1996): ‘Morphological characterization of patterns in reactiondi diffusion systems’, Phys. Rev. E 53, pp. 4794–4800
Mecke, K.R. (1998): ‘Integral geometries in statistical physics’, Int. J. Mod. Phys. B 12, pp. 861–899 and references therein
Mecke, K.R., Th. Buchert, H. Wagner (1994): ‘Robust morphological measures for large-scale structure in the universe’, Astron. Astrophys. 288, pp. 697–704
Redon, C., F. Brochard-Wyart, F. Rodelez (1991): ‘Dynamics of dewetting’, Phys. Rev. Lett. 66, pp. 715–718
Reiter, G. (1992): ‘Dewetting of thin polymer films’, Phys. Rev. Lett. 68, pp. 751–754
Reiter, G. (1993): ‘Unstable thin polymer films: rupture and dewetting processes’, Langmuir 9, pp. 1344–1351
Rosenfeld, A., A.C. Kak (1976): in: Digital picture processing (Academic Press, New York) and references therein
Ruckenstein, E., R.K. Jain (1974): ‘Spontaneous rupture of thin liquid films’, Faraday Trans. 70, pp. 132–147
Ripley, B. (1976): ‘The second-order analysis of stationary point processes’, J. Appl. Probab. 13, pp. 255–266
Schladitz, K.: private communication
Serra, J. (1982): in: Image analysis and mathematical morphology, Vol. 1 and 2, (Academic Press, New York)
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
Shull, K.R., T.E. Karis (1994): ‘Dewetting dynamics for large equilibrium contact angles’, Langmuir 10, pp. 334–339
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
Stoyan, D.: private communication
Stoyan, D., W.S. Kendall, J. Mecke (1995): in: Stochastic geometry and its applications, 2nd ed. (John Wiley Ltd.)
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
Weaire, D., N. Rivier (1984): ‘Soap, cells and statistics-random patterns in two dimensions’, Contem. Phys. 25, pp. 59–99
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
Yerushalmi-Rozen, R., J. Klein, L.W. Fetters (1994): ‘Suppression of rupture in thin, nonwetting liquid fllms’, Science 263, pp. 793–795
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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