The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

doi:10.1088/1674-1056/27/4/046801

Abstract Motivated by our recent work, in this work, we present the numerical study of the anchoring effect on the Frederiks threshold field in a nematic liquid crystal doped with ferroelectric colloidal nanoparticles. Assuming weak anchoring conditions, we employ the relaxation method and Maxwell construction to numerically solve the Euler-Lagrangian differential equation for the total free energy together the Rapini-Papoular surface energy to take into account anchoring of nematic liquid crystal molecules at the substrates. In this study, we focus our attention on obtaining the phase diagrams of Frederiks transition for different values of anchoring strength which have been not computed in our previous work. In this way, the effect of nanoparticle radius, nanoparticle volume fraction, nanoparticle polarization, and cell thickness on the Frederiks transition for different values of anchoring conditions are summarized in the phase diagrams. The numerical results show that by increasing the nanoparticles size and nanoparticle volume fraction in the ferronematic system, the Frederiks threshold field is strongly reduced.

Keywords: anchoring surface effect ferronematics Frederiks transition Maxwell construction

Received: 11 November 2017
Revised: 03 January 2018
Accepted manuscript online:

PACS:	68.35.Rh	(Phase transitions and critical phenomena)
	77.84.Nh	(Liquids, emulsions, and suspensions; liquid crystals)
	64.70.M-	(Transitions in liquid crystals)
	05.70.Np	(Interface and surface thermodynamics)

Corresponding Authors: Erfan Kadivar, Mojtaba Farrokhbin
E-mail: erfan.kadivar@sutech.ac.ir;m.farrokhbin@gmail.com

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Erfan Kadivar, Mojtaba Farrokhbin The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles 2018 Chin. Phys. B 27 046801

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The influence of surface effects on Frederiks transition in nematic liquid crystal doped with ferroelectric nanoparticles

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