Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation

Authors : Müjde DURUKAN GÜLTEPE, Zekai TEK

Pages : 373-377

Doi:10.18466/cbayarfbe.393700

View : 16 | Download : 8

Publication Date : 2018-12-28

Article Type : Research Paper

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.
Keywords : Fractional Calculus, Nematic Liquid Crystals, Phase Transition, PAA, Maier Saupe Theory