Twisting transition in a fiber composed of chiral smectic-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi></mml:math>liquid crystal polymer

Sones, R. A.; Petschek, Rolfe G.; Cronin, D. W.; Terentjev, E. M.

doi:10.1103/physreve.53.3611

Phys. Rev. E

1996

DOI: 10.1103/physreve.53.3611

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Twisting transition in a fiber composed of chiral smectic-Cliquid crystal polymer

R. A. Sones

Rolfe G. Petschek

D. W. Cronin

et al.

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Cited by 3 publications

(1 citation statement)

References 14 publications

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“…Modeling of static liquid crystal helical filaments can be found in [2,36]. Chevron structures with alternating domains of opposite polarization are also found in some materials [5].…”

mentioning

confidence: 97%

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Park¹,

Calderer²

2006

SIAM J. Appl. Math.

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We present modeling and analysis of smectic C phases of liquid crystals capable of sustaining spontaneous polarization. The layered liquid crystals are also assumed to be chiral. We study minimization of the total energy subject to electrostatic constraints. In order to determine mathematically and physically relevant boundary conditions, we appeal to the analogy between the current problem and the vorticity in fluids. We place a special emphasis on the nonlocal and selfenergy effects arising from spontaneous polarization. We discuss examples pertaining to the electric field created by the liquid crystal in dielectric medium, and also to the possible role of a domain shape as an energy reduction mechanism.

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“…Modeling of static liquid crystal helical filaments can be found in [2,36]. Chevron structures with alternating domains of opposite polarization are also found in some materials [5].…”

mentioning

confidence: 97%

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Park¹,

Calderer²

2006

SIAM J. Appl. Math.

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Telephone-cord instabilities in thin smectic capillaries

Biscari¹,

Calderer²

2005

Phys. Rev. E

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Telephone-cord patterns have been recently observed in smectic liquid-crystal capillaries. We analyze the effects that may induce them. As long as the capillary keeps its linear shape, we show that a nonzero chiral cholesteric pitch favors the Sm-A*-Sm-C* transition. However, neither the cholesteric pitch nor the presence of an intrinsic bending stress is able to give rise to a curved capillary shape. The key ingredient for the telephone-cord instability is spontaneous polarization. The free-energy minimizer of a spontaneously polarized Sm-A* phase is attained on a planar capillary, characterized by a nonzero curvature. More interestingly, in the Sm-C* phase the combined effect of the molecular tilt and the spontaneous polarization pushes towards a helicoidal capillary shape, with nonzero curvature and torsion.

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Landau–de Gennes theory of isotropic-nematic-smectic liquid crystal transitions

2007

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We propose a Landau-de Gennes variational theory fit to simultaneously describe isotropic, nematic, smectic- A , and smectic- C phases of a liquid crystal. The unified description allows us to deal with systems in which one, or all, of the order parameters develop because of the influence of defects, external fields and/or boundary conditions. We derive the complete phase diagram of the system, that is, we characterize how the homogeneous minimizers depend on the value of the constitutive parameters. The coupling between the nematic order tensor and the complex smectic order parameter generates an elastic potential which is a nonconvex function of the gradient of the smectic order parameter. This lack of convexity yields in turn a loss of regularity of the free-energy minimizers. We then consider the effect on an infinitesimal second-order regularization term in the free-energy functional, which fixes the optimal number of defects in the singular configurations.

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Twisting transition in a fiber composed of chiral smectic-Cliquid crystal polymer

Cited by 3 publications

References 14 publications

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Analysis of Nonlocal Electrostatic Effects in Chiral Smectic C Liquid Crystals

Telephone-cord instabilities in thin smectic capillaries

Landau–de Gennes theory of isotropic-nematic-smectic liquid crystal transitions

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