Investigation of Phase Transitions in Nematic Liquid Crystals by Fractional Calculation
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.
URI
https://app.trdizin.gov.tr/publication/paper/detail/TXpFNU16WTNOdz09http://hdl.handle.net/20.500.12481/3526
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