Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation
| Autor: | Müjde Durukan Gültepe, Zekai Tek |
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| Rok vydání: | 2018 |
| Předmět: |
Physics
Phase transition Mühendislik Fractional Calculus Nematic Liquid Crystals Phase Transition PAA Maier-Saupe Theory Context (language use) Space (mathematics) Fractal dimension Measure (mathematics) Fractional calculus Condensed Matter::Soft Condensed Matter Engineering Liquid crystal Materials Chemistry Order (group theory) Statistical physics |
| Zdroj: | Volume: 14, Issue: 4 373-377 Celal Bayar University Journal of Science |
| ISSN: | 1305-130X 1305-1385 |
| DOI: | 10.18466/cbayarfbe.393700 |
| Popis: | In this study, we investigate nematic-isotropic phase transitions in liquid crystals using fractionally generalized form of the Maier-Saupe Theory (MST). MST is one of the mean-field theories commonly used in the nematic liquid crystals which proved to be extremely useful in explaining nematic-isotropic phase transitions. Fractionally obtained results compared with those of the experimental data for p-azoxyanisole (PAA) in the literature. In this context, the dependence of fourth rank order parameters on second rank order parameters is handled by being a measure of fractality of space. It is observed that the variation of second-rank and fourth rank order parameters versus temperature are in accordance with some values of fractal dimensions. As a result, we can conclude that there is a close relationship between temperature and fractional derivative order parameters. |
| Databáze: | OpenAIRE |
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