1986
DOI: 10.1051/jphys:01986004704069300
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On the possibility of generalized Freedericksz transition in nematics

Abstract: Dans un article récent, Lonberg et Meyer ont décrit une nouvelle forme de la transition de Freedericksz dans des polymères nématiques soumis à un champ magnétique et l'ont décrite en utilisant la théorie de l'élasticité de Frank et Oseen. Nous utilisons l'approche de Lonberg et Meyer pour étudier la possibilité d'existence de ce nouvel effet Freedericksz dans les cas d'orientation oblique du directeur ou du champ magnétique et pour différents rapports des constantes élastiques. Les résultats sont pertinents po… Show more

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Cited by 45 publications
(30 citation statements)
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“…K 2 PDS avoids bend but PDS cannot be reached directly from the US and so it is a B type region [5]. In type I geometries for low c values (close to twist geometry), and when K 2 > K 1 again PDS avoids twist (region C) [4]. For c closer to p=2 the bend geometry is approached and a situation similar to type II geometries is found, with the important difference that in type I geometries the A 2 region inside which the B region can appear is limited to a fraction of the determination is not performed in a stability analysis study and so it is out of the scope of this work.…”
Section: Resultsmentioning
confidence: 97%
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“…K 2 PDS avoids bend but PDS cannot be reached directly from the US and so it is a B type region [5]. In type I geometries for low c values (close to twist geometry), and when K 2 > K 1 again PDS avoids twist (region C) [4]. For c closer to p=2 the bend geometry is approached and a situation similar to type II geometries is found, with the important difference that in type I geometries the A 2 region inside which the B region can appear is limited to a fraction of the determination is not performed in a stability analysis study and so it is out of the scope of this work.…”
Section: Resultsmentioning
confidence: 97%
“…The global features of the phase diagrams for geometries of type I, II and III shown in Figures 2, 3 and 4 can be addressed on the basis of the mechanisms identified by Lonberg and Meyer [2] and Allender et al [5] favouring the occurrence of periodic distortions in the pure splay and bend geometries respectively. In the pure splay geometry and close to it, type III geometry for small w, when K 1 > K 2 splay avoidance is achieved through the PDS (region C) as in [2]; for w close to p=2 when K 1 < K 2 the PDS avoids the twist [4]. In type II geometries for low c values (close to splay geometry) and when K 1 > K 2 again PDS avoids splay (region C), for c closer to p=2 the bend geometry is approached and when K 3 > K 1 !…”
Section: Resultsmentioning
confidence: 99%
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“…Such stripes were investigated via numerical approach in the same planar geometry and also in the case of inclined alignment of the undisturbed director profile [5,6], and in polymer nematics with large elastic anisotropy [7] and planarly treated surfaces. Thus the periodic pattern driven by an external field define a unidimensional in-plane diffraction grating, modulated along the out-of-plane z direction.…”
Section: Introductionmentioning
confidence: 99%
“…They appear as periodic structures, such as parallel stripes [3], which make them unsuitable for display applications. Recent experiments on polymer liquid crystals in magnetic fields have shown that stripe formation may not be restricted to layers of relatively high twist, but can even occur when the twist is zero [4], For stripes to form with zero twist, the twist to splay elastic constant ratio k 22 /k ll must be smaller than the critical value [4][5][6][7][8] (1)…”
Section: Introductionmentioning
confidence: 99%