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再探去湿:薄膜稳定性图的新渐近线以及干燥区域成核与生长的亚稳状态

Dewetting Revisited: New Asymptotics of the Film Stability Diagram and the Metastable Regime of Nucleation and Growth of Dry Zones.

作者信息

Mitlin V

机构信息

Technology Development Center, 3Com Corporation, 10329 World Trade Drive, San Diego, California, 92128

出版信息

J Colloid Interface Sci. 2000 Jul 15;227(2):371-379. doi: 10.1006/jcis.2000.6792.

Abstract

Stability properties of a nonwetting film are discussed. Assuming a general form of the disjoining pressure, accurate asymptotic formulas for the upper thickness range of the film instability/metastability are derived. This analysis is applied to two particular cases: a nonionic liquid film with the (m, n) power form of the disjoining pressure and an ionic liquid film with an exponentially decaying electrostatic part of the disjoining pressure. The metastable regime of dewetting is considered, and an expression for the critical radius of a hole is derived. A new Fokker-Planck kinetic model of metastable dewetting, applicable at early stages of the process, is developed. It yields a relationship between the number of viable holes (per unit area and unit time) moving in steady-state regime to the supercritical part of the "embryo size space" and the equilibrium number of "critical" holes determined from thermodynamics. The dynamics of metastable dewetting is quantitatively described in terms of the surface fraction of holes in the film. Continuous dynamic models of the metastable dewetting applicable in the entire range of times have to include the thermal noise, as proposed by V. S. Mitlin (1994, Colloids Surf. A 89, 97). Copyright 2000 Academic Press.

摘要

讨论了非润湿性薄膜的稳定性特性。假设分离压力的一般形式,推导了薄膜不稳定性/亚稳性上限厚度范围的精确渐近公式。该分析应用于两种特殊情况:具有分离压力(m,n)幂形式的非离子液体薄膜和具有指数衰减静电部分分离压力的离子液体薄膜。考虑了脱湿的亚稳状态,并推导了孔洞临界半径的表达式。开发了一种适用于该过程早期阶段的新的亚稳脱湿福克 - 普朗克动力学模型。它给出了在稳态下移动的可行孔洞数量(每单位面积和单位时间)与“胚胎尺寸空间”的超临界部分以及由热力学确定的“临界”孔洞平衡数量之间的关系。亚稳脱湿的动力学用薄膜中孔洞的表面分数进行定量描述。如V. S. Mitlin(1994,《胶体与界面科学A》89,97)所提出的,适用于整个时间范围的亚稳脱湿连续动态模型必须包括热噪声。版权所有2000年学术出版社。

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引用本文的文献

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