2014
DOI: 10.1088/0953-8984/26/50/505101
|View full text |Cite
|
Sign up to set email alerts
|

Fluctuation-induced interactions in nematics with disordered anchoring energy

Abstract: We examine fluctuation-induced (pseudo-Casimir) interactions in nematic liquid-crystalline films confined between two surfaces, where one of the surfaces imposes a strong homeotropic anchoring (ensuring a uniform mean director profile), while the other one is assumed to be a chemically disordered substrate exhibiting an annealed, random distribution of anchoring energies. We employ a saddle-point approximation to evaluate the free energy of interaction mediated between the two surfaces and investigate how the … Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

0
4
0

Year Published

2015
2015
2022
2022

Publication Types

Select...
4
1

Relationship

1
4

Authors

Journals

citations
Cited by 5 publications
(4 citation statements)
references
References 40 publications
0
4
0
Order By: Relevance
“…When disorder in the easy axis in the bulk is annealed, thermalized, the disorder average over the partition function evidently renormalizes the strength of the anchoring energy, so that the pseudo-Casimir effect is just modified through this renormalized parameter, without any change in the form of the force arized by confined massive fluctuations. Furthermore the modifications turned out to be effective at moderate ranges of the inter-plate distances, d ∼ [40]. for the uncorrelated quenched (solid curve) and annealed (thin dashed curve) disorders.…”
Section: Discussionmentioning
confidence: 97%
“…When disorder in the easy axis in the bulk is annealed, thermalized, the disorder average over the partition function evidently renormalizes the strength of the anchoring energy, so that the pseudo-Casimir effect is just modified through this renormalized parameter, without any change in the form of the force arized by confined massive fluctuations. Furthermore the modifications turned out to be effective at moderate ranges of the inter-plate distances, d ∼ [40]. for the uncorrelated quenched (solid curve) and annealed (thin dashed curve) disorders.…”
Section: Discussionmentioning
confidence: 97%
“…• two-dimensional Ising model [154][155][156]162] • fluctuations confined by membranes [81,82,86,89,153,169,[299][300][301] • liquid crystals [71,72,105,[302][303][304][305][306][307][308][309][310] • O(n ≥ 2) vector models below T c [207,208,286,287] • three-dimensional Ising model [182,192] • non-equilibrium fluctuation-induced forces in fluids [94-96, 98, 99, 101, 311, 312].…”
Section: Casimir-like Effects Off Criticalitymentioning
confidence: 99%
“…(4.17), viz., (∂F full (λ)/∂λ)| λ=λ0 = 0, that λ 0 ≈ 1.05414 for µ 0 w 2 0 /K t = 0.1, λ 0 ≈ 1.07503 for µ 0 w 2 0 /K t = 1, and λ 0 ≈ 1.08807 for µ 0 w 2 0 /K t = 10. As we do not know the actual value of the adhesion strength K t , we have tried a range of values from small to large [33,34]. The corresponding deformation free energy behavior is displayed in Fig.…”
Section: Free Energymentioning
confidence: 99%