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Additional resources for Glass Transition, Dynamics and Heterogeneity of Polymer Thin Films
Thus, for ydyn 6¼ yequ, a net force FYoung (per unit length of the contact line) pushes the contact line: FYoung ¼ ÀgS þ gLS þ gL Á cos ydyn : (1) Using the relation for the equilibrium contact angle, gS ¼ gLS þ gL Á cos yequ, we obtain FYoung ¼ gL ðcos ydyn À cos yequ Þ. , cos y % 1 À (1/2)y2. This then leads to: FYoung ¼ ð1=2Þ Á gL ðy2equ À y2dyn Þ: (2) Removing the fluid from the substrate involves the relative movement of molecules past each other. This gives rise to viscous dissipation within the fluid.
30 32 38 43 59 60 1 Introduction and Historical Remarks on Thin Polymer Films A large number of studies on thin polymer films revealed that various physical properties exhibited characteristics strongly deviating from their bulk behavior, with major implications for most technological applications based on such nanoscopic films. Diverse measurements have shown anomalous irreversible and reversible density changes after annealing below the bulk glass transition temperature (Tg) [1–9], unexpected instabilities of these films [1, 10–13], unusual ageing [14–21], deviations in mobility [22–28], deformed chain conformations [29–32], dewetting processes independent of molecular weight and much faster than suggested by bulk visco-elasticity [17–49], clear indications for residual stresses within these spin-coated thin polymer films [17, 39–54], a thickness-dependent but also history-dependent Tg [55–85], and fast relaxation processes [17, 43, 48, 52–54].
Xie F, Zhang HF, Lee FK, Du B, Tsui OKC, Yokoe Y, Tanaka K, Takahara A, Kajiyama T, He T (2002) Macromolecules 35:1491 15. Forrest JA, Dalnoki-Veress K, Stevens JR, Dutcher JR (1996) Phys Rev Lett 77:2002 16. Forrest JA, Dalnoki-Veress K, Dutcher JR (1997) Phys Rev E 56:5705 17. Fukao K, Miyamoto Y (2000) Phys Rev E 61:1743 18. Ellison CJ, Torkelson JM (2003) Nat Mater 2:695 19. Inoue R, Kanaya T, Nishida K, Tsukushi I, Shibata K (2005) Phys Rev Lett 95:056102 20. Miyazaki T, Nishida K, Kanaya T (2004) Phys Rev E 69:061803 21.
Glass Transition, Dynamics and Heterogeneity of Polymer Thin Films by Yoshihisa Fujii, Hiroshi Morita (auth.), Toshiji Kanaya (eds.)