Professor Halim Kusumaatmaja halim.kusumaatmaja@durham.ac.uk
Professor
Free energy pathways of a Multistable Liquid Crystal Device
Kusumaatmaja, H.; Majumdar, A.
Authors
A. Majumdar
Abstract
The planar bistable device [Tsakonas et al., Appl. Phys. Lett., 2007, 90, 111913] is known to have two distinct classes of stable equilibria: the diagonal and rotated solutions. We model this device within the two-dimensional Landau-de Gennes theory, with a surface potential and without any external fields. We systematically compute a special class of transition pathways, referred to as minimum energy pathways, between the stable equilibria that provide new information about how the equilibria are connected in the Landau-de Gennes free energy landscape. These transition pathways exhibit an intermediate transition state, which is a saddle point of the Landau-de Gennes free energy. We numerically compute the structural details of the transition states, the optimal transition pathways and the free energy barriers between the equilibria, as a function of the surface anchoring strength. For strong anchoring, the transition pathways are mediated by defects whereas we get defect-free transition pathways for moderate and weak anchoring. In the weak anchoring limit, we recover a cusp catastrophe situation for which the rotated state acts as a transition state connecting two different diagonal states.
Citation
Kusumaatmaja, H., & Majumdar, A. (2015). Free energy pathways of a Multistable Liquid Crystal Device. Soft Matter, 11(24), 4809-4817. https://doi.org/10.1039/c5sm00578g
Journal Article Type | Article |
---|---|
Acceptance Date | May 11, 2015 |
Publication Date | Jun 28, 2015 |
Deposit Date | May 16, 2015 |
Publicly Available Date | May 27, 2015 |
Journal | Soft Matter |
Print ISSN | 1744-683X |
Electronic ISSN | 1744-6848 |
Publisher | Royal Society of Chemistry |
Peer Reviewed | Peer Reviewed |
Volume | 11 |
Issue | 24 |
Pages | 4809-4817 |
DOI | https://doi.org/10.1039/c5sm00578g |
Related Public URLs | http://arxiv.org/abs/1503.05514 |
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Accepted Journal Article
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