The Influence of Nonextensivity on Orientational Ordering in Liquid Crystal Systems with Variable Molecular Shape

TL;DR

This paper introduces a generalized nonextensive model to study how photoisomerization and long-range interactions influence nematic ordering in liquid crystals, revealing that nonextensivity can prevent phase disappearance under illumination.

Contribution

It develops a nonextensive theoretical framework incorporating Tsallis statistics to analyze orientational order and phase transitions in liquid crystals with variable molecular shapes.

Findings

Nonextensivity affects concentration dependence of order parameters.

Long-range interactions can alter phase transition characteristics.

Nematic phase may persist under prolonged illumination due to nonextensive effects.

Abstract

A generalized model taking into account the photoisomerization influence on the nematic ordering is presented. This generalized theory is used to investigate the effect of the nonextensivity on the concentration dependence of the long-range order parameter. The q-dependent variation of the concentration of cis-trans isomers and of the order parameter with the time of exposure to the illumination is investigated within nonextensivity. It is also shown that for sufficiently long exposition of the mesophase to the illumination the nematic phase cannot disappear for some value of the entropic index, coming from Tsallis statistics. Moreover it is shown that long range interactions or the fractal structure in the liquid crystalline system might affect the characteristics of the phase transition in the physical system. We think therefore that this conclusion might shed light on the interaction potential energy terms in the similar system in future possible experiments, even to be performed on new objects with different symmetries.