Electroconvective instabilities in smectic-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">C</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">*</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math>liquid crystal films

Ried, S.; Pleiner, Harald; Zimmermann, Walter; Brand, Helmut R.

doi:10.1103/physreve.53.6101

Cited by 16 publications

(16 citation statements)

References 19 publications

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“…The techniques used here may be of relevance to work on electrically driven instabilities in thin films of SmC or SmC* liquid crystals and in this context the reader should consult the work of Ried et al [33,34]. There is also a comprehensive study of electrically driven effects and electroconvection by Pleiner et al [35].…”

Section: Discussionmentioning

confidence: 98%

Layer distortions induced by a magnetic field in planar samples of smectic C liquid crystals

Stewart¹

2003

Liquid Crystals

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This article derives theoretical results for the onset of the Helfrich-Hurault transition in smectic C liquid crystals induced by a magnetic field applied parallel to the smectic layers. A suitable quadratic energy in terms of the smectic layer displacement u is derived from the nonlinear version of the smectic C energy. This energy is minimized via averaging to enable the calculation of a critical field strength Hc for the onset of layer distortions. Comparisons are made with known results for the corresponding geometry in the smectic A case. An estimate for the value of the smectic C elastic constant A12 can also be made by considering characteristic length scales

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Section: Discussionmentioning

confidence: 98%

Layer distortions induced by a magnetic field in planar samples of smectic C liquid crystals

Stewart¹

2003

Liquid Crystals

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“…It is also possible to convect other, more complex, smectic phases which are anisotropic in the film plane. [25,26] We will not consider such anisotropy here.…”

Section: Introductionmentioning

confidence: 99%

Electrically driven convection in a thin annular film undergoing circular Couette flow

1999

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We investigate the linear stability of a thin, suspended, annular film of conducting fluid with a voltage difference applied between its inner and outer edges. For a sufficiently large voltage, such a film is unstable to radially-driven electroconvection due to charges which develop on its free surfaces. The film can also be subjected to a Couette shear by rotating its inner edge. This combination is experimentally realized using films of smectic A liquid crystals. In the absence of shear, the convective flow consists of a stationary, azimuthally one-dimensional pattern of symmetric, counter-rotating vortex pairs. When Couette flow is applied, an azimuthally traveling pattern results. When viewed in a co-rotating frame, the traveling pattern consists of pairs of asymmetric vortices. We calculate the neutral stability boundary for arbitrary radius ratio α and Reynolds number Re of the shear flow, and obtain the critical control parameter Rc (α, Re) and the critical azimuthal mode number mc (α, Re). The Couette flow suppresses the onset of electroconvection, so that Rc (α, Re) > Rc (α, 0). The calculated suppression is compared with experiments performed at α = 0.56 and 0 ≤ Re ≤ 0.22. Fluids, 11, 3613 (1999). See also http://mobydick.physics.utoronto.ca. Physics of

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“…Inserting such a 2x2-mode ansatz into eqs. (5,6) results in four homogeneous coupled equations and therefore in the implicit threshold condition for…”

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confidence: 99%

Electrically driven hybrid instabilities in smectic C liquid crystal films

2000

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Novel static hybrid instabilities in smectic C liquid (SmC) crystal films are described. The Frederiks transition, well known for nematic liquid crystals, also takes place in smectic C layers, but here it is spatially periodic and coupled to undulations of the smectic layer. The Helfrich-Hurault undulational instability, typical for smectic A liquid crystals, occurs in SmC liquid crystals too, but the wave vector of the undulation of the layers is oblique to the applied external field. In addition, this modified Helfrich-Hurault instability not only involves layer undulations, but also contains deformations of the director field, which are typical for the Frederiks transition. The coupled deformations depend on all three coordinate axis, thus characterizing 3-dimensional patterns. There are parameter ranges, where both types of static instabilities, which differ by the spatial wavenumber, compete with each other near codimension-2 bifurcations.

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Electroconvective instabilities in smectic-C*liquid crystal films

Cited by 16 publications

References 19 publications

Layer distortions induced by a magnetic field in planar samples of smectic C liquid crystals

Layer distortions induced by a magnetic field in planar samples of smectic C liquid crystals

Electrically driven convection in a thin annular film undergoing circular Couette flow

Electrically driven hybrid instabilities in smectic C liquid crystal films

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