Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-05-14
Langmuir 15, 8902 (1999)
Physics
Condensed Matter
Soft Condensed Matter
41 pages LaTex, 12 EPS figures
Scientific paper
We consider a membrane both weakly and strongly adhering to a geometrically structured substrate. The interaction potential is assumed to be local, via the Deryagin approximation, and harmonic. Consequently, we can analytically describe a variety of different geometries: as well as randomly rough self-affine surfaces, smooth substrates interrupted by an isolated cylindrical pit, a single elongated trench or a periodic array of trenches are investigated. We present more general expressions for the adhesion energy and membrane configuration in Fourier space and find that, compared to planar surfaces, the adhesion energy decreases. We also highlight the possibility of overshoots occurring in the membrane profile and look at its degree of penetration into surface indentations.
Andelman David
Swain Peter S.
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