Yıl 2018, Cilt 14, Sayı 4, Sayfalar 373 - 377 2018-12-28

Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation

Müjde Durukan Gültepe [1] , Zekai Tek [2]

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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.

Fractional Calculus, Nematic Liquid Crystals, Phase Transition, PAA, Maier-Saupe Theory
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Birincil Dil en
Konular Mühendislik
Yayımlanma Tarihi 31-12-2018
Dergi Bölümü Makaleler
Yazarlar

Orcid: 0000-0003-3401-3515
Yazar: Müjde Durukan Gültepe (Sorumlu Yazar)
Ülke: Turkey


Orcid: 0000-0002-4985-3499
Yazar: Zekai Tek
Ülke: Turkey


Bibtex @araştırma makalesi { cbayarfbe393700, journal = {Celal Bayar Üniversitesi Fen Bilimleri Dergisi}, issn = {1305-130X}, eissn = {1305-1385}, address = {Celal Bayar Üniversitesi}, year = {2018}, volume = {14}, pages = {373 - 377}, doi = {10.18466/cbayarfbe.393700}, title = {Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation}, key = {cite}, author = {Tek, Zekai and Durukan Gültepe, Müjde} }
APA Durukan Gültepe, M , Tek, Z . (2018). Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, 14 (4), 373-377. DOI: 10.18466/cbayarfbe.393700
MLA Durukan Gültepe, M , Tek, Z . "Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14 (2018): 373-377 <http://dergipark.gov.tr/cbayarfbe/issue/41718/393700>
Chicago Durukan Gültepe, M , Tek, Z . "Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14 (2018): 373-377
RIS TY - JOUR T1 - Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation AU - Müjde Durukan Gültepe , Zekai Tek Y1 - 2018 PY - 2018 N1 - doi: 10.18466/cbayarfbe.393700 DO - 10.18466/cbayarfbe.393700 T2 - Celal Bayar Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 373 EP - 377 VL - 14 IS - 4 SN - 1305-130X-1305-1385 M3 - doi: 10.18466/cbayarfbe.393700 UR - http://dx.doi.org/10.18466/cbayarfbe.393700 Y2 - 2018 ER -
EndNote %0 Celal Bayar Üniversitesi Fen Bilimleri Dergisi Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation %A Müjde Durukan Gültepe , Zekai Tek %T Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation %D 2018 %J Celal Bayar Üniversitesi Fen Bilimleri Dergisi %P 1305-130X-1305-1385 %V 14 %N 4 %R doi: 10.18466/cbayarfbe.393700 %U 10.18466/cbayarfbe.393700
ISNAD Durukan Gültepe, Müjde , Tek, Zekai . "Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation". Celal Bayar Üniversitesi Fen Bilimleri Dergisi 14 / 4 (Aralık 2018): 373-377. http://dx.doi.org/10.18466/cbayarfbe.393700