Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation

Year 2018, Volume: 14 Issue: 4, 373 - 377, 28.12.2018

Müjde Durukan Gültepe Zekai Tek

https://doi.org/10.18466/cbayarfbe.393700

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

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