Non-spherical shapes of capsules within a fourth-order curvature model

O. V. Manyuhina; J. J. Hetzel; M. I. Katsnelson; A. Fasolino

doi:10.1140/epje/i2010-10631-2

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arXiv · 1006.1292

Non-spherical shapes of capsules within a fourth-order curvature model

O. V. Manyuhina·J. J. Hetzel·M. I. Katsnelson·A. Fasolino

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Abstract

We minimize a discrete version of the fourth-order curvature based Landau free energy by extending Brakke's Surface Evolver. This model predicts spherical as well as non-spherical shapes with dimples, bumps and ridges to be the energy minimizers. Our results suggest that the buckling and faceting transitions, usually associated with crystalline matter, can also be an intrinsic property of non-crystalline membranes.

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O. V. Manyuhina, J. J. Hetzel, M. I. Katsnelson, A. Fasolino. 2010-06-07. Non-spherical shapes of capsules within a fourth-order curvature model. https://doi.org/10.1140/epje%2Fi2010-10631-2

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