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  Measuring Gaussian rigidity using curved substrates

Fonda, P., Al-Izzi, S. C., Giomi, L., & Turner, M. (2020). Measuring Gaussian rigidity using curved substrates. arxiv Condensed Matter: Soft Condensed Matter.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0006-7679-E Version Permalink: http://hdl.handle.net/21.11116/0000-0006-767A-D
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Fonda, Piermarco1, Author              
Al-Izzi, Sami C., Author
Giomi, Luca, Author
Turner, Matthew, Author
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1Reinhard Lipowsky, Theorie & Bio-Systeme, Max Planck Institute of Colloids and Interfaces, Max Planck Society, ou_1863327              

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 Abstract: The Gaussian (saddle splay) rigidity of fluid membranes controls their equilibrium topology but is notoriously difficult to measure. In lipid mixtures, typical of living cells, linear interfaces separate liquid ordered (LO) from liquid disordered (LD) bilayer phases at subcritical temperatures. Here we consider such membranes supported by curved supports that thereby control the membrane curvatures. We show how spectral analysis of the fluctuations of the LO-LD interface provides a novel way of measuring the difference in Gaussian rigidity between the two phases. We provide a number of conditions for such interface fluctuations to be both experimentally measurable and sufficiently sensitive to the value of the Gaussian rigidity, whilst remaining in the perturbative regime of our analysis.

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Language(s): eng - English
 Dates: 2020-05-13
 Publication Status: Published online
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 Identifiers: arXiv: 2005.06393
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Title: arxiv Condensed Matter: Soft Condensed Matter
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