Effects of surface anchoring on the electric Frederiks transition in ferronematic systems

Farrokhbin, Mojtaba; Kadivar, Erfan

doi:10.1016/j.physa.2016.06.138

Cited by 1 publication

(3 citation statements)

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“…where A is the anchoring strength, θ 0 is the angle between easy direction and the nematic director at the nematic-wall interfaces, θ (z = 0) = θ (z = L) = θ 0 . Thus, the total density free energy of nematic liquid crystal doped with ferroelectric nanoparticles reads as follows: [45] f…”

Section: Physical Modelmentioning

confidence: 99%

“…The physically acceptable solution is selected by using well-known Maxwell construction. [45,47] The striking feature is that x 2 always locates in π/2 radians and provides the maximum total free energy. While, x 1 and x 3 are 0.7486 and 2.3930 in our considered parameters for this ferronematic system, respectively.…”

Section: Physical Modelmentioning

confidence: 99%

“…[44] In this study, we have numerically investigated the effects of anchoring energy on the Frederiks threshold field in a nematic liquid crystal doped with ferroelectric colloidal nanopar-ticles. A key input to the present work comes from our previous work, [45] in which NLC director configuration within the ferronematic cell has been studied through strong anchoring conditions. At weak anchoring conditions, nanoparticle volume fraction, nanoparticle size, nanoparticle polarization, and cell thickness have a key role in the Frederiks transition.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Kadivar¹,

Farrokhbin²

2018

Chinese Phys. B

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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.

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Section: Physical Modelmentioning

confidence: 99%

Section: Physical Modelmentioning

confidence: 99%