Pattern formation in spontaneous dewetting of thin apolar films

被引:78
作者
Khanna, R [1 ]
Sharma, A [1 ]
机构
[1] Indian Inst Technol, Dept Chem Engn, Kanpur 208016, Uttar Pradesh, India
关键词
thin films; nonlinear stability of; pattern formation in thin films; dewetting;
D O I
10.1006/jcis.1997.5134
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Various stages of evolution of surface instability leading to dewetting are investigated for thin (<100 nm) fluid films subjected to the long range van der Waals interactions on a nonwettable solid. The problems of pattern selection and complete three-dimensional morphology are resolved based on numerical solutions of the nonlinear two-dimensional thin film equation. The initial small scale random nonhomogeneities are quickly reorganized into a large scale coherent bicontinuous structure consisting of "hills" and "valleys," which is reminiscent of the classical picture of the spinodal decomposition in the linear approximation. On the level of a "unit-cell," the bicontinuous structure slowly evolves into an increasingly axisymmetric circular pattern, and eventually a growing circular hole (dry spot) is formed. Scaling arguments, as cell as the simulations give the characteristic mean area of a unit-cell containing a single hole to be proportional to (h(0)(4) gamma/\S\), where h(0) is mean thickness, gamma is surface tension, and S is the spreading coefficient. (C) 1997 Academic Press.
引用
收藏
页码:42 / 50
页数:9
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