Substrate induced 1D tilt-modulated state in nematic monolayers |
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Authors: | I Lelidis G Barbero |
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Institution: | (1) Dipartimento di Fisica del Politecnico and INFM corso Duca degli Abruzzi 24, 10129 Torino, Italy;(2) Groupe des Cristaux Liquides, Université de Picardie, 33 rue Saint-Leu, 80039 Amiens Cedex, France |
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Abstract: | Symmetry considerations yield the general form, up to second order
terms, for the deformation elastic energy of a nematic monolayer,
composed by symmetric achiral molecules, on a rigid planar
substrate. The deformation energy contains an elastic contribution
linear in the deformation tensor, whose elements are the spatial
derivatives of the average molecular orientation. This linear
Lifshitz-invariant-like term can be responsible for a ground state
of the nematic monolayer periodically deformed if the relevant
elastic constant is stiffer than a critical value. The wave-length
of the modulation diverges at the transition threshold. We show
that only large variations of the tilt angle form stable states.
The effect of a destabilizing electric or magnetic field on the
layer is to induce (i) the transition towards the tilt-modulated
phase, while (ii) for higher enough values of the field the
modulation is destroyed. |
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Keywords: | 61 30 Gd Orientational order of liquid crystals electric and magnetic field effects on order 68 47 Pe Langmuir-Blodgett films on solids polymers on surfaces biological molecules on surfaces 83 10 Bb Kinematics of deformation and flow 83 60 Np Effects of electric and magnetic fields |
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