Math. Model. Nat. Phenom.
Volume 15, 2020
|Number of page(s)||21|
|Published online||17 February 2020|
Phase transitions in nematics: textures with tactoids and disclinations
Department of Mathematics, The University of Akron,
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: firstname.lastname@example.org
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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