Non-local description of nematic liquid crystals

Alexe-Ionescu, A.L.; Barbero, Giovanni

doi:10.1080/026782998206335

Cited by 4 publications

(1 citation statement)

References 42 publications

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“…This problem has been faced in the past [16,17] and more recently [18][19][20] for some significant boundary conditions and the details of the calculations for all these cases will be omitted here to save space. In the case of blocking electrodes, for which…”

mentioning

confidence: 99%

The Kramers–Kronig relations for usual and anomalous Poisson–Nernst–Planck models

Evangelista

Lenzi

Barbero

2013

J. Phys.: Condens. Matter

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The consistency of the frequency response predicted by a class of electrochemical impedance expressions is analytically checked by invoking the Kramers-Kronig (KK) relations. These expressions are obtained in the context of Poisson-Nernst-Planck usual or anomalous diffusional models that satisfy Poisson's equation in a finite length situation. The theoretical results, besides being successful in interpreting experimental data, are also shown to obey the KK relations when these relations are modified accordingly.

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mentioning

confidence: 99%

The Kramers–Kronig relations for usual and anomalous Poisson–Nernst–Planck models

Evangelista

Lenzi

Barbero

2013

J. Phys.: Condens. Matter

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Elastic Properties of Nematic Liquid Crystals

Stannarius

2014

Handbook of Liquid Crystals

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Elastic effects of long-range quadrupolar interactions in nematic liquid crystals

1998

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We discuss the role of the quadrupolar interaction in nematic liquid crystal samples in the shape of a slab limiting the study to planar deformations. Our analysis shows that this interaction gives rise to a bulk energy density that, in the elastic approximation, depends linearly on the second spatial derivative and quadratically on the first spatial derivative of the nematic orientation. We show that this bulk energy density can be separated in a surfacelike term, which gives rise just to a surface contribution, plus a term having the usual form. Both terms depend on the first derivative of the tilt angle and are proportional to the square of the electrical quadrupolar density. The bulk term, quadratic in the first derivative of the tilt angle, renormalizes the usual elastic energy density connected to the shea-range forces. The bulk elastic constant of quadrupolar origin can be negative and one order of magnitude smaller than the effective elastic constants for typical nematic liquid crystals. According to our analysis this interaction is responsible for an elastic anisotropy proportional to the square of the electrical quadrupolar density, which depends on the nematic orientation. The surfacelike term is proportional to the first derivative of the tilt angle. It calls mind to the splay-bend elastic term, although the tilt angle dependence is more complicated. The relevant elastic constant is of the same order of magnitude as the bulk one, due to the same interaction. We evaluate also the energy density in the surface layers, where the quadrupolar interaction is restricted by the surface. In this case we show that the free energy contribution due to the surface layers is reduced to a classical anchoring energy. The solution of the variational problem by means of a simple version of the density functional theory is presented. [S1063-651X(98)11612-4]

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Non-local description of nematic liquid crystals

Cited by 4 publications

References 42 publications

The Kramers–Kronig relations for usual and anomalous Poisson–Nernst–Planck models

The Kramers–Kronig relations for usual and anomalous Poisson–Nernst–Planck models

Elastic Properties of Nematic Liquid Crystals

Elastic effects of long-range quadrupolar interactions in nematic liquid crystals

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