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Dergiler / 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
Sayfa
373–377
Yayın Tarihi
2018-12-28
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:As a result, we can conclude that there is a close relationship between temperature and fractional derivative order parameters.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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