Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-07-31
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 6 figures. Accepted as a Regular Article in Physical Review E
Scientific paper
10.1103/PhysRevE.76.041608
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.
Witten Thomas A.
Zhang Quan
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