| Issue |
Math. Model. Nat. Phenom.
Volume 15, 2020
Growth phenomena
|
|
|---|---|---|
| Article Number | 8 | |
| Number of page(s) | 21 | |
| DOI | https://doi.org/10.1051/mmnp/2019034 | |
| Published online | 17 February 2020 | |
Phase transitions in nematics: textures with tactoids and disclinations
1
Department of Mathematics, The University of Akron,
Akron,
OH, USA.
2
Department of Chemical Engineering, Pohang University of Science and Technology (POSTECH),
77 Cheongam-Ro,
Nam-Gu,
Pohang,
Gyeongbuk 37673, Korea.
3
Chemical Physics Interdisciplinary Program, Liquid Crystal Institute, Kent State University,
OH, USA.
4
Department of Mathematics, Indiana University,
Bloomington,
IN, USA.
* Corresponding author: dmitry@uakron.edu
Received:
17
February
2019
Accepted:
1
August
2019
We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an appropriate combination of elastic constants. The numerical simulations of the model established in this paper qualitatively reproduce the experimentally observed configurations that include interfaces and topological defects in the nematic phase.
Mathematics Subject Classification: 35Q56 / 82D30
Key words: Uniaxial nematic / isotropic / Landau-de Gennes / tactoid / disclination / phase transition
© EDP Sciences, 2020
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