Pathways to faceting of vesicles

Mark J. Bowick, Rastko Sknepnek

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    The interplay between geometry, topology and order can lead to geometric frustration that profoundly affects the shape and structure of a curved surface. In this commentary we show how frustration in this context can result in the faceting of elastic vesicles. We show that, under the right conditions, an assortment of regular and irregular polyhedral structures may be the low energy states of elastic membranes with spherical topology. In particular, we show how topological defects, necessarily present in any crystalline lattice confined to spherical topology, naturally lead to the formation of icosahedra in a homogeneous elastic vesicle. Furthermore, we show that introducing heterogeneities in the elastic properties, or allowing for non-linear bending response of a homogeneous system, opens non-trivial pathways to the formation of faceted, yet non-icosahedral, structures.

    Original languageEnglish
    Pages (from-to)8088-8095
    Number of pages8
    JournalSoft Matter
    Volume9
    Issue number34
    DOIs
    Publication statusPublished - 14 Sep 2013

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