Non-monotonic fluctuation spectra of membranes pinned or tethered discretely to a substrate

Abstract

The thermal fluctuation spectrum of a fluid membrane coupled harmonically to a solid support by an array of tethers is calculated. For strong tethers, this spectrum exhibits non-monotonic, anisotropic behavior with a relative maximum at a wavelength about twice the tether distance. The root mean square displacement is evaluated to estimate typical membrane displacements. Possible applications cover pillar-supported or polymer-tethered membranes.

arXiv comment4 pages, 5 figures

References in corpus (2)

• Fluctuation spectrum of fluid membranes coupled to an elastic meshwork: jump of the effective surface tension at the mesh size
• Supported Membranes on Chemically Structured and Rough Surfaces

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