Computational aspects of the smectization process in liquid crystals: An example study of a perfectly aligned two-dimensional hard-boomerang system
Authors:
- Agnieszka Chrzanowska
Abstract
A replica method for calculation of smectic liquid crystal properties within the Onsager theory has been presented and applied to an exemplary case of two-dimensional perfectly aligned needlelike boomerangs. The method allows one to consider the complete influence of the interaction terms in contrast to the Fourier expansion method which uses mostly first or second order terms of expansion. The program based on the replica algorithm is able to calculate a single representative layer as an equivalent set of layers, depending on the size of the considered width of the sample integration interval. It predicts successfully smectic density distributions, energies, and layer thicknesses for different types of layer arrangement—of the antiferroelectric or of the smectic A order type. Specific features of the algorithm performance and influence of the numerical accuracy on the physical properties are presented. Future applications of the replica method to freely rotating molecules are discussed.
- Record ID
- CUTc5676aaf167f488e8dd99c7b45106575
- Publication categories
- ;
- Author
- Journal series
- Physical Review E, ISSN 2470-0045, e-ISSN 2470-0053, [1538-4519, 1539-3755]
- Issue year
- 2017
- Vol
- 95
- No
- 6
- Pages
- [1-9]
- Article number
- 063316
- Other elements of collation
- rys.; wykr.; Bibliografia (na s.) - 9; Bibliografia (liczba pozycji) - 34; Oznaczenie streszczenia - Streszcz. ang.; Numeracja w czasopiśmie - Vol. 95, Iss. 6
- Keywords in English
- smectization process, liquid crystals, boomerangs
- DOI
- DOI:10.1103/PhysRevE.95.063316 Opening in a new tab
- URL
- https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.063316 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 35
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTc5676aaf167f488e8dd99c7b45106575/
- URN
urn:pkr-prod:CUTc5676aaf167f488e8dd99c7b45106575
* 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.