支撑表面活性剂单分子膜上的微观褶皱
Microscopic Wrinkles on Supported Surfactant Monolayers
摘要：
本文讨论了刚性薄膜在压缩下通过薄流体层与基底发生排斥相互作用时的力学屈曲不稳定性。屈曲发生在一个特征波长的弯曲刚度的1/4的权力，增加像以前研究的米尔纳等人的重力不稳定性。然而，潜在的强烈影响的特征屈曲波长，由黄和索预测。如果电位随厚度变化足够剧烈，则这种不稳定性是连续的，其幅度随超压的平方根而变化。我们讨论了三种形式的相互作用的情况下转移到基板的朗缪尔单分子膜的重要：Casimir范德华相互作用，屏蔽带电双层相互作用和夏尔马电位。我们验证了这些预测数值范德瓦尔斯的情况下。
英文摘要：
We discuss mechanical buckling instabilities of a rigid film under compression interacting repulsively with a substrate through a thin fluid layer. The buckling occurs at a characteristic wavelength that increases as the 1/4th power of the bending stiffness, like a gravitational instability studied previously by Milner et al. However, the potential can affect the characteristic buckling wavelength strongly, as predicted by Huang and Suo. If the potential changes sufficiently sharply with thickness, this instability is continuous, with an amplitude varying as the square root of overpressure. We discuss three forms of interaction important for the case of Langmuir monolayers transferred to a substrate: Casimir-van der Waals interaction, screened charged double-layer interaction and the Sharma potential. We verify these predictions numerically in the Van der Waals case.
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