Mean-field model of boomerang nematic liquid crystals with diminished coupling of molecular uniaxial and biaxial susceptibilities
Authors:
- Agnieszka Chrzanowska
Abstract
The mean-field theory approach has been applied to the boomerang type particles from P. I. C. Teixeira, A. Masters, and B. Mulder [Mol. Cryst. Liq. Cryst. 323, 167 (1998)] but with diminished strength of the interaction coefficient responsible for the coupling between molecular uniaxial and biaxial susceptibilities. For the rodlike particles, when the apex boomerang angle is larger than 107.35°, the stable uniaxial rodlike phase occurs. For smaller angles, beyond the point where the transition is of the second order (the Landau point) and for diminished parameter of molecular biaxial-uniaxial coupling, a biaxial phase is observed with the transition undergoing directly from the isotropic phase. According to the order parameters the character of this transition is of the first order. Such behavior is in accordance with the Sonnet-Durand-Virga model of the biaxial phases. The change in the type of the phase transition order is also illustrated by the changes in the equations of state and the changes in second and third derivatives of the free energy. The possibilities to tailor interaction coefficients of real molecules to obtain such a phase transition scenario are discussed.
- Record ID
- CUT213eeeda0a0c45b0acbd2d9708ffa343
- Publication categories
- ;
- Author
- Journal series
- Physical Review E, ISSN 2470-0045, e-ISSN 2470-0053, [1538-4519, 1539-3755]
- Issue year
- 2019
- Vol
- 99
- No
- 6
- Pages
- [1-11]
- Article number
- 062703
- Other elements of collation
- rys.; wykr.; Bibliografia (na s.) - 10-11; Bibliografia (liczba pozycji) - 71; Oznaczenie streszczenia - Streszcz. ang.; Numeracja w czasopiśmie - Vol. 99, Iss. 6
- Keywords in English
- liquid crystals, mean-field theory, boomerangs
- DOI
- DOI:10.1103/PhysRevE.99.062703 Opening in a new tab
- URL
- https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.062703 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 140
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT213eeeda0a0c45b0acbd2d9708ffa343/
- URN
urn:pkr-prod:CUT213eeeda0a0c45b0acbd2d9708ffa343
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.