A free discontinuity model for smectic thin films

J. M. Ball; G. Canevari; B. Stroffolini

doi:10.1080/02678292.2023.2192183

A free discontinuity model for smectic thin films

J. M. Ball, G. Canevari, B. Stroffolini

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Abstract

We attempt to describe surface defects in smectic A thin films by formulating a free discontinuity problem – that is, a variational problem in which the order parameter is allowed to have jump discontinuities on some (unknown) set. The free energy functional contains an interfacial energy, which penalises dislocations of the smectic layers at the jump. We discuss mathematical issues related to the existence of minimisers and provide examples of minimisers in some simplified settings.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Liquid Crystals
Early online date	13 Apr 2023
DOIs	https://doi.org/10.1080/02678292.2023.2192183
Publication status	E-pub ahead of print - 13 Apr 2023

Keywords

BV ellipticity
Smectic liquid crystals
special functions of bounded variation
surface defects

ASJC Scopus subject areas

Chemistry(all)
Materials Science(all)
Condensed Matter Physics

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KW - surface defects

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A free discontinuity model for smectic thin films

Abstract

Keywords

ASJC Scopus subject areas

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