187 research outputs found
Colloidal particles in liquid crystal films and at interfaces
This mini-review discusses the recent contribution of theoretical and
computational physics as well as experimental efforts to the understanding of
the behavior of colloidal particles in confined geometries and at liquid
crystalline interfaces. Theoretical approaches used to study trapping, long-
and short-range interactions, and assembly of solid particles and liquid
inclusions are outlined. As an example, an interaction of a spherical colloidal
particle with a nematic-isotropic interface and a pair interaction potential
between two colloids at this interface are obtained by minimizing the Landau-de
Gennes free energy functional using the finite-element method with adaptive
meshes.Comment: 22 pages, 10 figure
Recommended from our members
Recovering superhydrophobicity in nanoscale and macroscale surface textures
Here, we investigate complete drying of hydrophobic cavities in order to elucidate its dependence on the size of confinement, its geometry, and the degree of hydrophobicity. Two complementary theoretical approaches are adopted: a macroscopic one based on classical capillarity and a microscopic classical density functional theory. This combination allows us to pinpoint unique drying mechanisms at the nanoscale and to clearly differentiate them from the mechanisms operational at the macroscale. Nanoscale hydrophobic cavities allow the thermodynamic destabilization of the confined liquid phase over an unexpectedly broad range of conditions, including pressures as large as 10 MPa and contact angles close to 90°. On the other hand, for cavities on the micron scale, such destabilization occurs only for much larger contact angles and close to liquid-vapor coexistence. These scale-dependent drying mechanisms are used to propose design criteria for hierarchical superhydrophobic surfaces capable of spontaneous self recovery over a broad range of operating conditions. In particular, we detail the requirements under which it is possible to realize perpetual superhydrophobicity at positive pressures on surfaces with micron-sized textures by exploiting drying, facilitated by nanoscale coatings. Concerning the issue of superhydrophobicity, these findings indicate a promising direction both for surface fabrication and for the experimental characterization of perpetual surperhydrophobicity. From a more basic perspective, the present results have an echo on a wealth of biological problems in which hydrophobic confinement induces drying, such as in protein folding, molecular recognition, and hydrophobic gating
Perpetual superhydrophobicity
A liquid droplet placed on a geometrically textured surface may take on a “suspended” state, in which the liquid wets only the top of the surface structure, while the remaining geometrical features are occupied by vapor. This superhydrophobic Cassie–Baxter state is characterized by its composite interface which is intrinsically fragile and, if subjected to certain external perturbations, may collapse into the fully wet, so-called Wenzel state. Restoring the superhydrophobic Cassie–Baxter state requires a supply of free energy to the system in order to again nucleate the vapor. Here, we use microscopic classical density functional theory in order to study the Cassie–Baxter to Wenzel and the reverse transition in widely spaced, parallel arrays of rectangular nanogrooves patterned on a hydrophobic flat surface. We demonstrate that if the width of the grooves falls below a threshold value of ca. 7 nm, which depends on the surface chemistry, the Wenzel state becomes thermodynamically unstable even at very large positive pressures, thus realizing a “perpetual” superhydrophobic Cassie–Baxter state by passive means. Building upon this finding, we demonstrate that hierarchical structures can achieve perpetual superhydrophobicity even for micron-sized geometrical textures
Self-propulsion of a catalytically active particle near a planar wall: from reflection to sliding and hovering
Micron-sized particles moving through solution in response to self-generated
chemical gradients serve as model systems for studying active matter. Their
far-reaching potential applications will require the particles to sense and
respond to their local environment in a robust manner. The self-generated
hydrodynamic and chemical fields, which induce particle motion, probe and are
modified by that very environment, including confining boundaries. Focusing on
a catalytically active Janus particle as a paradigmatic example, we predict
that near a hard planar wall such a particle exhibits several scenarios of
motion: reflection from the wall, motion at a steady-state orientation and
height above the wall, or motionless, steady "hovering." Concerning the steady
states, the height and the orientation are determined both by the proportion of
catalyst coverage and the interactions of the solutes with the different
"faces" of the particle. Accordingly, we propose that a desired behavior can be
selected by tuning these parameters via a judicious design of the particle
surface chemistry
Liquid crystals boojum-colloids
Colloidal particles dispersed in a liquid crystal lead to distortions of the
director field. The distortions are responsible for long-range effective
colloidal interactions whose asymptotic behaviour is well understood. The short
distance behaviour of the interaction, however, is sensitive to the structure
and dynamics of the topological defects nucleated near the colloidal particles
in the strong anchoring regime. The full non-linear theory is required in order
to determine the interaction at short separations. Spherical colloidal
particles with sufficiently strong planar degenerate anchoring nucleate a pair
of antipodal surface topological defects, known as boojums. We use the
Landau-de Gennes formalism in order to resolve the mesoscopic structure of the
boojum cores and to determine the pairwise colloidal interaction. We compare
the results in three (3D) and two (2D) spatial dimensions. The corresponding
free energy functionals are minimized numerically using finite elements with
adaptive meshes. Boojums are always point-like in 2D, but acquire a rather
complex structure in 3D which depends on the combination of the anchoring
potential, the radius of the colloid, the temperature and the LC elastic
anisotropy. We identify three types of defect cores in 3D which we call single,
double and split core boojums, and investigate the associated structural
transitions. In the presence of two colloidal particles there are substantial
re-arrangements of the defects at short distances, both in 3D and 2D. These
re-arrangements lead to qualitative changes in the force-distance profile when
compared to the asymptotic quadrupole-quadrupole interaction. In line with the
experimental results, the presence of the defects prevents coalescence of the
colloidal particles in 2D, but not in 3D systems.Comment: 18 pages, 21 figure
Dispersions of ellipsoidal particles in a nematic liquid crystal
Colloidal particles dispersed in a partially ordered medium, such as a liquid
crystal (LC) phase, disturb its alignment and are subject to elastic forces.
These forces are long-ranged, anisotropic and tunable through temperature or
external fields, making them a valuable asset to control colloidal assembly.
The latter is very sensitive to the particle geometry since it alters the
interactions between the colloids. We here present a detailed numerical
analysis of the energetics of elongated objects, namely prolate ellipsoids,
immersed in a nematic host. The results, complemented with qualitative
experiments, reveal novel LC configurations with peculiar topological
properties around the ellipsoids, depending on their aspect ratio and the
boundary conditions imposed on the nematic order parameter. The latter also
determine the preferred orientation of ellipsoids in the nematic field, because
of elastic torques, as well as the morphology of particles aggregates.Comment: 31 pages, 11 figure
Effective squirmer models for self-phoretic chemically active spherical colloids
Various aspects of self-motility of chemically active colloids in Newtonian
fluids can be captured by simple models for their chemical activity plus a
phoretic slip hydrodynamic boundary condition on their surface. For particles
of simple shapes (e.g., spheres) -- as employed in many experimental studies --
which move at very low Reynolds numbers in an unbounded fluid, such models of
chemically active particles effectively map onto the well studied so-called
hydrodynamic squirmers [S. Michelin and E. Lauga, J. Fluid Mech. \textbf{747},
572 (2014)]. Accordingly, intuitively appealing analogies of
"pusher/puller/neutral" squirmers arise naturally. Within the framework of
self-diffusiophoresis we illustrate the above mentioned mapping and the
corresponding flows in an unbounded fluid for a number of choices of the
activity function (i.e., the spatial distribution and the type of chemical
reactions across the surface of the particle). We use the central collision of
two active particles as a simple, paradigmatic case for demonstrating that in
the presence of other particles or boundaries the behavior of chemically active
colloids may be \textit{qualitatively} different, even in the far field, from
the one exhibited by the corresponding "effective squirmer", obtained from the
mapping in an unbounded fluid. This emphasizes that understanding the
collective behavior and the dynamics under geometrical confinement of
chemically active particles necessarily requires to explicitly account for the
dependence of the hydrodynamic interactions on the distribution of chemical
species resulting from the activity of the particles.Comment: 26 pages, 11 figure
Interaction of colloids with a nematic-isotropic interface
The Landau-de Gennes free energy is used to calculate the interaction between
long cylindrical colloids and the nematic-isotropic (NI) interface. This
interaction has two contributions: one is specific of liquid crystals and
results from the deformation of the director field close to the particles or to
the interface, while the other is generic and results from wetting and surface
tension effects.
Deep in the nematic phase the director field of long cylindrical colloids,
with strong homeotropic anchoring, exhibits two half-integer defect lines. As
the colloid moves towards the interface, the director configuration changes
through a series of discontinuous transitions, where one or two of the defects
are annihilated. In addition, the NI interface bends towards the colloid in
order to minimize the elastic free energy in the nematic. In the isotropic
phase, the colloid is surrounded by a thin nematic layer that reduces the
surface free energy under favorable wetting conditions.
The interaction has a well-defined minimum near the interface. In this region
the director and interfacial structures are complex and cannot be described
analytically. Using the numerical results for the Landau-de Gennes free energy
in the harmonic region, we obtained simple scaling laws for the (linear) force
on the colloid
- …