93 research outputs found
Flexoelectricity and pattern formation in nematic liquid crystals
We present in this paper a detailed analysis of the flexoelectric instability
of a planar nematic layer in the presence of an alternating electric field
(frequency ), which leads to stripe patterns (flexodomains) in the
plane of the layer. This equilibrium transition is governed by the free energy
of the nematic which describes the elasticity with respects to the
orientational degrees of freedom supplemented by an electric part. Surprisingly
the limit is highly singular. In distinct contrast to the
dc-case, where the patterns are stationary and time-independent, they appear at
finite, small periodically in time as sudden bursts. Flexodomains are
in competition with the intensively studied electro-hydrodynamic instability in
nematics, which presents a non-equilibrium dissipative transition. It will be
demonstrated that is a very convenient control parameter to tune
between flexodomains and convection patterns, which are clearly distinguished
by the orientation of their stripes
Separate measurements of the flexoelectric and surface polarization in a model nematic liquid crystal p-methoxybenzylidene-p´-butylaniline : Validity of the quadrupolar approach
The temperature dependences of the surface polarization have been measured at the interface of a conductive glass with both the homogeneously and homeotropically oriented nematic liquid crystal p-methoxybenzylidene-p´-butylaniline. The polarization was found in the field-off regime from the pyroelectric response of a cell to a short laser pulse, absorbed in the bulk of the liquid crystal. The temperature increment was calculated from the measurements of the birefringence induced by the same light pulse. It has been shown that the surface polarization at the homeotropic (mh) and planar (mp) interfaces is directed from an interface into the bulk and from the bulk to an interface, respectively (with a magnitude mh~— 0.3 pC/m and mp' ≈ 0.2 pC/m at 25℃). The experimental data may be explained in terms of the quadrupole model of the order-electric polarization with account of some additional contribution from molecular dipoles. The same technique also allows for the measurements of the z component of the flexoelectric polarization using a pyroelectric response of a hybrid (homeoplanar) aligned nematic cell and proper subtracting of the surface contributions. The flexoelectric polarization has been shown to be opposite to the sum of the surface terms mh + mp and directed from the planar to homeotropic interface. This means that the sum of the flexoelectric coefficients e=(e1 + e3) is positive (e ≅ 1.7 pC/m at 28℃). The temperature dependence of e has been shown to involve a combination of both the quadrupolar and dipolar contributions
Temporal response to harmonic driving in electroconvection
The temporal evolution of the spatially periodic electroconvection (EC)
patterns has been studied within the period of the driving ac voltage by
monitoring the light intensity diffracted from the pattern. Measurements have
been carried out on a variety of nematic systems, including those with negative
dielectric and positive conductivity anisotropy, exhibiting "standard EC"
(s-EC), those with both anisotropies negative exhibiting "non-standard EC"
(ns-EC), as well as those with the two anisotropies positive. Theoretical
predictions have been confirmed for stationary s-EC and ns-EC patterns.
Transitions with Hopf bifurcation have also been studied. While traveling had
no effect on the temporal evolution of dielectric s-EC, traveling conductive
s-EC and ns-EC patterns exhibited a substantially altered temporal behavior
with a dependence on the Hopf frequency. It has also been shown that in
nematics with both anisotropies positive, the pattern develops and decays
within an interval much shorter than the period, even at relatively large
driving frequencies.Comment: 19 pages, 5 figure
Three-dimensional pattern formation, multiple homogeneous soft modes, and nonlinear dielectric electroconvection
Patterns forming spontaneously in extended, three-dimensional, dissipative
systems are likely to excite several homogeneous soft modes (
hydrodynamic modes) of the underlying physical system, much more than quasi
one- and two-dimensional patterns are. The reason is the lack of damping
boundaries. This paper compares two analytic techniques to derive the patten
dynamics from hydrodynamics, which are usually equivalent but lead to different
results when applied to multiple homogeneous soft modes. Dielectric
electroconvection in nematic liquid crystals is introduced as a model for
three-dimensional pattern formation. The 3D pattern dynamics including soft
modes are derived. For slabs of large but finite thickness the description is
reduced further to a two-dimensional one. It is argued that the range of
validity of 2D descriptions is limited to a very small region above threshold.
The transition from 2D to 3D pattern dynamics is discussed. Experimentally
testable predictions for the stable range of ideal patterns and the electric
Nusselt numbers are made. For most results analytic approximations in terms of
material parameters are given.Comment: 29 pages, 2 figure
On the surface-type elastic constant K24 in nematics
In the present paper a novel method is presented, allowing us to measure the saddle-splay elastic constant K24 and consequently the mixed splay-bend elasticity K12, in the frame of the continuum-theory. On a weakly anchored nematic cell with a pure bend distortion a twist deformation is superimposed, due to a magnetic field greater than Freedericksz' threshold. The free energy term of the K13-type is rigorously zero, whereas the term affected by K24 is different from zero, and is dependent only on the twist angles at the walls, and not on their first derivatives. Such a situation allows us to solve the variational problem and to evaluate K24, by measuring the shift of the critical field, provided the anchoring strengths at both walls are suitably chosen
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