Napoli, G. and Vergori, L. (2010) Equilibrium of nematic vesicles. Journal of Physics A: Mathematical and Theoretical, 43(44), p. 445207. (doi: 10.1088/1751-8113/43/44/445207)
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Publisher's URL: http://dx.doi.org/10.1088/1751-8113/43/44/445207
Abstract
A variational scheme is proposed which allows the derivation of a concise and elegant formulation of the equilibrium equations for closed fluid membranes, endowed with a nematic microstructure. The nematic order is described by an in-plane nematic director and a degree of orientation, as customary in the theory of uniaxial nematics. The only constitutive ingredient in this scheme is a free-energy density which depends on the vesicle geometry and order parameters. The stress and the couple stress tensors related to this free-energy density are provided. As an application of the proposed scheme, a certain number of special theories are deduced: soap bubbles, lipid vesicles, chiral and achiral nematic membranes, and nematics on curved substrates.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Vergori, Dr Luigi |
| Authors: | Napoli, G., and Vergori, L. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Journal of Physics A: Mathematical and Theoretical |
| Publisher: | IOP Publishing |
| ISSN: | 1751-8113 |
| ISSN (Online): | 1751-8121 |
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