The Influence of Substrate Structure on Membrane Adhesion

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dc.creatorSwain, P. S.
dc.creatorAndelman, David
dc.date1999-05-14
dc.date.accessioned2026-07-07T03:13:28Z
dc.date.available2026-07-07T03:13:28Z
dc.descriptionWe 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.
dc.description41 pages LaTex, 12 EPS figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9905205
dc.identifierhttp://arxiv.org/abs/cond-mat/9905205
dc.identifierLangmuir 15, 8902 (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29307
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.titleThe Influence of Substrate Structure on Membrane Adhesion
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