425 research outputs found
Theory of orientational ordering in colloidal molecular crystals
Freezing of charged colloids on square or triangular two-dimensional periodic
substrates has been recently shown to realize a rich variety of orientational
orders. We propose a theoretical framework to analyze the corresponding
structures. A fundamental ingredient is that a non spherical charged object in
an electrolyte creates a screened electrostatic potential that is anisotropic
at any distance. Our approach is in excellent agreement with the known
experimental and numerical results, and explains in simple terms the reentrant
orientational melting observed in these so called colloidal molecular crystals.
We also investigate the case of a rectangular periodic substrate and predict an
unusual phase transition between orientationnaly ordered states, as the aspect
ratio of the unit cell is changed.Comment: 4 pages, to appear in Phys. Rev. Let
Active Brownian Motion Tunable by Light
Active Brownian particles are capable of taking up energy from their
environment and converting it into directed motion; examples range from
chemotactic cells and bacteria to artificial micro-swimmers. We have recently
demonstrated that Janus particles, i.e. gold-capped colloidal spheres,
suspended in a critical binary liquid mixture perform active Brownian motion
when illuminated by light. In this article, we investigate in some more details
their swimming mechanism leading to active Brownian motion. We show that the
illumination-borne heating induces a local asymmetric demixing of the binary
mixture generating a spatial chemical concentration gradient, which is
responsible for the particle's self-diffusiophoretic motion. We study this
effect as a function of the functionalization of the gold cap, the particle
size and the illumination intensity: the functionalization determines what
component of the binary mixture is preferentially adsorbed at the cap and the
swimming direction (towards or away from the cap); the particle size determines
the rotational diffusion and, therefore, the random reorientation of the
particle; and the intensity tunes the strength of the heating and, therefore,
of the motion. Finally, we harness this dependence of the swimming strength on
the illumination intensity to investigate the behaviour of a micro-swimmer in a
spatial light gradient, where its swimming properties are space-dependent
Trapping colloids near chemical stripes via critical Casimir forces
We study theoretically and experimentally the solvent-mediated critical
Casimir force acting on colloidal particles immersed in a binary liquid mixture
of water and 2,6-lutidine and close to substrates which are chemically
patterned with periodically alternating stripes of antagonistic adsorption
preferences. These patterns are experimentally realized via microcontact
printing. Upon approaching the critical demixing point of the solvent, normal
and lateral critical Casimir forces generate laterally confining effective
potentials for the colloids. We analyze in detail the rich behavior of the
spherical colloids close to such substrates. For all patterned substrates we
investigated, our measurements of these effective potentials agree with the
corresponding theoretical predictions. Since both the directions and the
strengths of the critical Casimir forces can be tuned by minute temperature
changes, this provides a new mechanism for controlling colloids as model
systems, opening encouraging perspectives for applications.Comment: Invited contribution to Molecular Physics Special Issue on Bob Evans'
65th birthda
Understanding depletion forces beyond entropy
The effective interaction energy of a colloidal sphere in a suspension
containing small amounts of non-ionic polymers and a flat glass surface has
been measured and calculated using total internal reflection microscopy (TIRM)
and a novel approach within density functional theory (DFT), respectively.
Quantitative agreement between experiment and theory demonstrates that the
resulting repulsive part of the depletion forces cannot be interpreted entirely
in terms of entropic arguments but that particularly at small distances
( 100 nm) attractive dispersion forces have to be taken into account
Phase Transitions of Soft Disks in External Periodic Potentials: A Monte Carlo Study
The nature of freezing and melting transitions for a system of model colloids
interacting by a DLVO potential in a spatially periodic external potential is
studied using extensive Monte Carlo simulations. Detailed finite size scaling
analyses of various thermodynamic quantities like the order parameter, its
cumulants etc. are used to map the phase diagram of the system for various
values of the reduced screening length and the amplitude of the
external potential. We find clear indication of a reentrant liquid phase over a
significant region of the parameter space. Our simulations therefore show that
the system of soft disks behaves in a fashion similar to charge stabilized
colloids which are known to undergo an initial freezing, followed by a
re-melting transition as the amplitude of the imposed, modulating field
produced by crossed laser beams is steadily increased. Detailed analysis of our
data shows several features consistent with a recent dislocation unbinding
theory of laser induced melting
Frustration and Melting of Colloidal Molecular Crystals
Using numerical simulations we show that a variety of novel colloidal
crystalline states and multi-step melting phenomena occur on square and
triangular two-dimensional periodic substrates. At half-integer fillings
different kinds of frustration effects can be realized. A two-step melting
transition can occur in which individual colloidal molecules initially rotate,
destroying the overall orientational order, followed by the onset of interwell
colloidal hopping, in good agreement with recent experiments.Comment: 6 pages, 3 postscript figures. Procedings of International Conference
on Strongly Coupled Coulomb Systems, Santa Fe, 200
Phase Transitions of Hard Disks in External Periodic Potentials: A Monte Carlo Study
The nature of freezing and melting transitions for a system of hard disks in
a spatially periodic external potential is studied using extensive Monte Carlo
simulations. Detailed finite size scaling analysis of various thermodynamic
quantities like the order parameter, its cumulants etc. are used to map the
phase diagram of the system for various values of the density and the amplitude
of the external potential. We find clear indication of a re-entrant liquid
phase over a significant region of the parameter space. Our simulations
therefore show that the system of hard disks behaves in a fashion similar to
charge stabilized colloids which are known to undergo an initial freezing,
followed by a re-melting transition as the amplitude of the imposed, modulating
field produced by crossed laser beams is steadily increased. Detailed analysis
of our data shows several features consistent with a recent dislocation
unbinding theory of laser induced melting.Comment: 36 pages, 16 figure
Critical Casimir effect in classical binary liquid mixtures
If a fluctuating medium is confined, the ensuing perturbation of its
fluctuation spectrum generates Casimir-like effective forces acting on its
confining surfaces. Near a continuous phase transition of such a medium the
corresponding order parameter fluctuations occur on all length scales and
therefore close to the critical point this effect acquires a universal
character, i.e., to a large extent it is independent of the microscopic details
of the actual system. Accordingly it can be calculated theoretically by
studying suitable representative model systems.
We report on the direct measurement of critical Casimir forces by total
internal reflection microscopy (TIRM), with femto-Newton resolution. The
corresponding potentials are determined for individual colloidal particles
floating above a substrate under the action of the critical thermal noise in
the solvent medium, constituted by a binary liquid mixture of water and
2,6-lutidine near its lower consolute point. Depending on the relative
adsorption preferences of the colloid and substrate surfaces with respect to
the two components of the binary liquid mixture, we observe that, upon
approaching the critical point of the solvent, attractive or repulsive forces
emerge and supersede those prevailing away from it. Based on the knowledge of
the critical Casimir forces acting in film geometries within the Ising
universality class and with equal or opposing boundary conditions, we provide
the corresponding theoretical predictions for the sphere-planar wall geometry
of the experiment. The experimental data for the effective potential can be
interpreted consistently in terms of these predictions and a remarkable
quantitative agreement is observed.Comment: 30 pages, 17 figure
Archimedean-like colloidal tilings on substrates with decagonal and tetradecagonal symmetry
Two-dimensional colloidal suspensions subject to laser interference patterns
with decagonal symmetry can form an Archimedean-like tiling phase where rows of
squares and triangles order aperiodically along one direction [J. Mikhael et
al., Nature 454, 501 (2008)]. In experiments as well as in Monte-Carlo and
Brownian dynamics simulations, we identify a similar phase when the laser field
possesses tetradecagonal symmetry. We characterize the structure of both
Archimedean-like tilings in detail and point out how the tilings differ from
each other. Furthermore, we also estimate specific particle densities where the
Archimedean-like tiling phases occur. Finally, using Brownian dynamics
simulations we demonstrate how phasonic distortions of the decagonal laser
field influence the Archimedean-like tiling. In particular, the domain size of
the tiling can be enlarged by phasonic drifts and constant gradients in the
phasonic displacement. We demonstrate that the latter occurs when the
interfering laser beams are not adjusted properly
On the nature of long-range contributions to pair interactions between charged colloids in two dimensions
We perform a detailed analysis of solutions of the inverse problem applied to
experimentally measured two-dimensional radial distribution functions for
highly charged latex dispersions. The experiments are carried out at high
colloidal densities and under low-salt conditions. At the highest studied
densities, the extracted effective pair potentials contain long-range
attractive part. At the same time, we find that for the best distribution
functions available the range of stability of the solutions is limited by the
nearest neighbour distance between the colloidal particles. Moreover, the
measured pair distribution functions can be explained by purely repulsive pair
potentials contained in the stable part of the solution.Comment: 6 pages, 5 figure
- …