Issue 26, 2014

Crystalline order and topological charges on capillary bridges


We numerically investigate crystalline order on negative Gaussian curvature capillary bridges. In agreement with the experimental results in [W. Irvine et al., Nature, Pleats in crystals on curved surfaces, 2010, 468, 947] we observe for decreasing integrated Gaussian curvature, a sequence of transitions, from no defects to isolated dislocations, pleats, scars and isolated sevenfold disclinations. We especially focus on the dependency of topological charge on the integrated Gaussian curvature, for which we observe, again in agreement with the experimental results, no net disclination for an integrated curvature down to −10, and an approximately linear behavior from there on until the disclinations match the integrated curvature of −12. In contrast to previous studies in which ground states for each geometry are searched for, we here show that the experimental results, which are likely to be in a metastable state, can be best resembled by mimicking the experimental settings and continuously changing the geometry. The obtained configurations are only low energy local minima. The results are computed using a phase field crystal approach on catenoid-like surfaces and are highly sensitive to the initialization.

Graphical abstract: Crystalline order and topological charges on capillary bridges

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Article information

Article type
29 Jan 2014
03 Apr 2014
First published
07 Apr 2014
This article is Open Access
Creative Commons BY license

Soft Matter, 2014,10, 4694-4699

Crystalline order and topological charges on capillary bridges

V. Schmid and A. Voigt, Soft Matter, 2014, 10, 4694 DOI: 10.1039/C4SM00228H

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