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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 14 Sayı: 4

Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation

Müjde Durukan Gültepe0000-0003-3401-3515
Zekai Tek0000-0002-4985-3499
Pages
373–377
Publication Date
2018-12-28
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As a result, we can conclude that there is a close relationship between temperature and fractional derivative order parameters.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we investigate nematic-isotropic phase transitions in liquid crystals using fractionally generalized form of the Maier-Saupe Theory (MST).
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Key Findings & Data: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.
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Conclusion & Impact:As a result, we can conclude that there is a close relationship between temperature and fractional derivative order parameters.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Fractional Calculus · Nematic Liquid Crystals · Phase Transition

Abstract

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.

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Cite This Article

Gültepe, M. D., Tek, Z. (2018). Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 14 Sayı: 4, 373–377. https://doi.org/10.18466/cbayarfbe.393700

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