101 research outputs found
Nonprofit governance: Improving performance in troubled economic times
Nonprofit management is currently pressured to perform effectively in a weak economy. Yet, nonprofit governance continues to suffer from unclear conceptions of the division of labor between board of directors and executive directors. This online survey of 114 executive directors aims to provide clarification and recommendations for social administration
Theory of monolayers with boundaries: Exact results and Perturbative analysis
Domains and bubbles in tilted phases of Langmuir monolayers contain a class
of textures knows as boojums. The boundaries of such domains and bubbles may
display either cusp-like features or indentations. We derive analytic
expressions for the textures within domains and surrounding bubbles, and for
the shapes of the boundaries of these regions. The derivation is perturbative
in the deviation of the bounding curve from a circle. This method is not
expected to be accurate when the boundary suffers large distortions, but it
does provide important clues with regard to the influence of various energetic
terms on the order-parameter texture and the shape of the domain or bubble
bounding curve. We also look into the effects of thermal fluctuations, which
include a sample-size-dependent effective line tension.Comment: replaced with published version, 21 pages, 16 figures include
Tilt Texture Domains on a Membrane and Chirality induced Budding
We study the equilibrium conformations of a lipid domain on a planar fluid
membrane where the domain is decorated by a vector field representing the tilt
of the stiff fatty acid chains of the lipid molecules, while the surrounding
membrane is fluid and structureless. The inclusion of chirality in the bulk of
the domain induces a novel budding of the membrane, which preempts the budding
induced by a decrease in interfacial tension.Comment: 5 pages, 3 figure
Polar Smectic Films
We report on a new experimental procedure for forming and studying polar
smectic liquid crystal films. A free standing smectic film is put in contact
with a liquid drop, so that the film has one liquid crystal/liquid interface
and one liquid crystal/air interface. This polar environment results in changes
in the textures observed in the film, including a boojum texture and a
previously unobserved spiral texture in which the winding direction of the
spiral reverses at a finite radius from its center. Some aspects of these
textures are explained by the presence of a Ksb term in the bulk elastic free
energy density that favors a combination of splay and bend deformations.Comment: 4 pages, REVTeX, 3 figures, submitted to PR
Effective interactions of colloids on nematic films
The elastic and capillary interactions between a pair of colloidal particles
trapped on top of a nematic film are studied theoretically for large
separations . The elastic interaction is repulsive and of quadrupolar type,
varying as . For macroscopically thick films, the capillary interaction
is likewise repulsive and proportional to as a consequence of
mechanical isolation of the system comprised of the colloids and the interface.
A finite film thickness introduces a nonvanishing force on the system (exerted
by the substrate supporting the film) leading to logarithmically varying
capillary attractions. However, their strength turns out to be too small to be
of importance for the recently observed pattern formation of colloidal droplets
on nematic films.Comment: 13 pages, accepted by EPJ
Modeling Dipolar and Quadrupolar Defect Structures generated by Chiral Islands in Freely-Suspended Liquid Crystal Films
We report a detailed theoretical analysis of novel quadrupolar interactions
observed between islands, which are disk-like inclusions of extra layers,
floating in thin, freely suspended smectic C liquid crystal films. Strong
tangential anchoring at the island boundaries result in a strength +1 chiral
defect in each island and a companion -1 defect in the film, these forming a
topological dipole. While islands of the same handedness form linear chains
with the topological dipoles pointing in the same direction, as reported in the
literature, islands with different handedness form compact quadrupolar
structures with the associated dipoles pointing in opposite directions. The
interaction between such heterochiral island--defect pairs is complex, with the
defects moving to minimize the director field distortion as the distance
between the islands changes. The details of the inter-island potential and the
trajectories of the -1 defects depend strongly on the elastic anisotropy of the
liquid crystal, which can be modified in the experiments by varying the
material chirality of the liquid crystal. A Landau model that describes the
energetics of freely mobile defects is solved numerically to find equilibrium
configurations for a wide range of parameters.Comment: 8 pages, 9 figure
Topological Defects and Interactions in Nematic Emulsions
Inverse nematic emulsions in which surfactant-coated water droplets are
dispersed in a nematic host fluid have distinctive properties that set them
apart from dispersions of two isotropic fluids or of nematic droplets in an
isotropic fluid. We present a comprehensive theoretical study of the
distortions produced in the nematic host by the dispersed droplets and of
solvent mediated dipolar interactions between droplets that lead to their
experimentally observed chaining. A single droplet in a nematic host acts like
a macroscopic hedgehog defect. Global boundary conditions force the nucleation
of compensating topological defects in the nematic host. Using variational
techniques, we show that in the lowest energy configuration, a single water
droplet draws a single hedgehog out of the nematic host to form a tightly bound
dipole. Configurations in which the water droplet is encircled by a
disclination ring have higher energy. The droplet-dipole induces distortions in
the nematic host that lead to an effective dipole-dipole interaction between
droplets and hence to chaining.Comment: 17 double column pages prepared by RevTex, 15 eps figures included in
text, 2 gif figures for Fig. 1
Topological Defects in Nematic Droplets of Hard Spherocylinders
Using computer simulations we investigate the microscopic structure of the
singular director field within a nematic droplet. As a theoretical model for
nematic liquid crystals we take hard spherocylinders. To induce an overall
topological charge, the particles are either confined to a two-dimensional
circular cavity with homeotropic boundary or to the surface of a
three-dimensional sphere. Both systems exhibit half-integer topological point
defects. The isotropic defect core has a radius of the order of one particle
length and is surrounded by free-standing density oscillations. The effective
interaction between two defects is investigated. All results should be
experimentally observable in thin sheets of colloidal liquid crystals.Comment: 13 pages, 16 figures, Phys. Rev.
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