ABSTRACT
The electrical responses of a nematic liquid crystal sample confined between two cylindrical surfaces are investigated in the framework of elastic continuum theory. The responses are the result of the molecular reorientation induced by both the applied electric field and the cylindrical geometry of the sample. The nematic medium is considered as a parallel RC circuit since the capacitance and the resistance are under the same difference of potential. The electrical properties, including the total electric current, are determined from the molecular reorientation of the director. The elastic anisotropy has been shown to influence substantially the profile of the electrical current, capacitance, and resistance characterizing the equivalent circuit for the medium.
ABSTRACT
The electrical responses of a nematic liquid crystal cell are investigated by means of the elastic continuum theory. The nematic medium is considered as a parallel circuit of a resistance and a capacitance and the electric current profile across the sample is determined as a function of the elastic constants. In the reorientation process of the nematic director, the resistance and capacitance of the sample are determined by taking into account the elastic anisotropy. A nonmonotonic profile for the current is observed in which a minimum value of the current may be used to estimate the elastic constants values. This scenario suggests a theoretical method to determine the values of the bulk elastic constants in a single planar aligned cell just by changing the direction of applied electrical field and measuring the resulting electrical current.
ABSTRACT
The long-standing puzzle of why capillary lengths measured in cellular nematic-isotropic interfaces are much longer than the value of 0.05 A predicted by Mullins-Sekerka theory has been solved. The resolution of the paradox is that in confined systems the substrate-nematic anchoring energy contributes to the capillary length which is greatly increased by selective adsorption of ions on the substrate.
ABSTRACT
In a directional solidification apparatus, the recoil of the nonsteady planar nematic-isotropic interface of the liquid crystal 8CB doped with hexachloroethane was measured, for different pulling velocities. Results agree very well with the predictions of our two-sided extension of Warren and Langer's one-sided model [Phys. Rev. E 47, 2702 (1993)], therefore supporting the validity of their ansatz about the evolution of the dopant concentration field. From the comparison between experiment and theory we obtain values for the segregation and diffusion coefficients of hexachloroethane in 8CB comparable to those found in the literature and measured by other methods. Using the same procedure, we measured the value of the segregation coefficient of 8CB doped with water as a function of applied sinusoidal electric field perpendicular to the sample, along the homeotropic direction. The segregation coefficient increases with electric field. In addition, preliminary results on the cellular instability in this system show that the capillary length of the pattern also increases with electric field. To our knowledge, this is the first binary system with continuously tunable segregation coefficient and capillary length.
ABSTRACT
We have examined the number of nerve cells present in the myenteric plexus of the human large intestine using a nonhistochemical method (Giemsa) in laminar preparations of the muscularis externa in two groups of subjects aged 20-35 and over 65 years. The collagen and elastic system related fibers in the myenteric ganglia were also qualitatively evaluated. The total number of neurons decreased in the old subjects by over 37%. The perikaryal area of most of the neurons in both the young and old subjects fell from 101 to 200 microns2. A ganglionic capsule was present and was thicker in the ganglia from the old subjects as were the septa within the ganglia. Both collagen and elastic system fibers were more numerous in the ganglia from the old subjects. We conclude that the decrease in neuron density with age is accompanied by an apparent increase in the fibrous components of the myenteric ganglia.
