401 research outputs found
Stochastic Hydrodynamic Synchronization in Rotating Energy Landscapes
Hydrodynamic synchronization provides a general mechanism for the spontaneous
emergence of coherent beating states in independently driven mesoscopic
oscillators. A complete physical picture of those phenomena is of definite
importance to the understanding of biological cooperative motions of cilia and
flagella. Moreover, it can potentially suggest novel routes to exploit
synchronization in technological applications of soft matter. We demonstrate
that driving colloidal particles in rotating energy landscapes results in a
strong tendency towards synchronization, favouring states where all beads
rotate in phase. The resulting dynamics can be described in terms of activated
jumps with transition rates that are strongly affected by hydrodynamics leading
to an increased probability and lifetime of the synchronous states. Using
holographic optical tweezers we quantitatively verify our predictions in a
variety of spatial configurations of rotors.Comment: Copyright (2013) by the American Physical Societ
Directed transport of active particles over asymmetric energy barriers
We theoretically and numerically investigate the transport of active colloids
to target regions, delimited by asymmetric energy barriers. We show that it is
possible to introduce a generalized effective temperature that is related to
the local variance of particle velocities. The stationary probability
distributions can be derived from a simple diffusion equation in the presence
of an inhomogeneous effective temperature resulting from the action of external
force fields. In particular, transitions rates over asymmetric energy barriers
can be unbalanced by having different effective temperatures over the two
slopes of the barrier. By varying the type of active noise, we find that equal
values of diffusivity and persistence time may produce strongly varied
effective temperatures and thus stationary distributions
Complex oscillatory yielding of model hard sphere glasses
The yielding behaviour of hard sphere glasses under large amplitude
oscillatory shear has been studied by probing the interplay of Brownian motion
and shear-induced diffusion at varying oscillation frequencies. Stress,
structure and dynamics are followed by experimental rheology and Browian
Dynamics simulations. Brownian motion assisted cage escape dominates at low
frequencies while escape through shear-induced collisions at high ones, both
related with a yielding peak in\ . At intermediate
frequencies a novel, for HS glasses, double peak in is
revealed reflecting both mechanisms. At high frequencies and strain amplitudes
a persistent structural anisotropy causes a stress drop within the cycle after
strain reversal, while higher stress harmonics are minimized at certain strain
amplitudes indicating an apparent harmonic response.Comment: 4 figures placed at the end with following order: Figure 1, figure 3,
figure 4 and figure
Yielding of Hard-Sphere Glasses during Start-Up Shear
Concentrated hard-sphere suspensions and glasses are investigated with rheometry, confocal microscopy, and Brownian dynamics simulations during start-up shear, providing a link between microstructure, dynamics, and rheology. The microstructural anisotropy is manifested in the extension axis where the maximum of the pair-distribution function exhibits a minimum at the stress overshoot. The interplay between Brownian relaxation and shear advection as well as the available free volume determine the structural anisotropy and the magnitude of the stress overshoot. Shear-induced cage deformation induces local constriction, reducing in-cage diffusion. Finally, a superdiffusive response at the steady state, with a minimum of the time-dependent effective diffusivity, reflects a continuous cage breakup and reformation
Amorphous and ordered states of concentrated hard spheres under oscillatory shear
Hard sphere colloidal particles are a basic model system to study phase transitions, self-assembly and out-equilibrium states. Experimentally it has been shown that oscillatory shearing of a monodisperse hard sphere glass, produces two different crystal orientations; a face centered cubic (FCC) crystal with the close packed direction parallel to shear at high strains and an FCC crystal with the close packed direction perpendicular to shear at low strains. Here, using Brownian dynamics simulations of hard sphere particles, we have examined high volume fraction shear-induced crystals under oscillatory shear as well their glass counterparts at the same volume fraction. While particle displacements under shear in the glass are almost isotropic, the sheared FCC crystal structures oriented parallel to shear, are anisotropic due to the cooperative motion of velocity–vorticity layers of particles sliding over each other. These sliding layers generally result in lower stresses and less overall particle displacements. Additionally, from the two crystal types, the perpendicular crystal exhibits less stresses and displacements at smaller strains, however at larger strains, the sliding layers of the parallel crystal are found to be more efficient in minimizing stresses and displacements, while the perpendicular crystal becomes unstable. The findings of this work suggest that the process of shear-induced ordering for a colloidal glass is facilitated by large out of cage displacements, which allow the system to explore the energy landscape and find the minima in energy, stresses and displacements by configuring particles into a crystal oriented parallel to shear
Residual Stresses in Glasses
The history dependence of the glasses formed from flow-melted steady states
by a sudden cessation of the shear rate is studied in colloidal
suspensions, by molecular dynamics simulations, and mode-coupling theory. In an
ideal glass, stresses relax only partially, leaving behind a finite persistent
residual stress. For intermediate times, relaxation curves scale as a function
of , even though no flow is present. The macroscopic stress
evolution is connected to a length scale of residual liquefaction displayed by
microscopic mean-squared displacements. The theory describes this history
dependence of glasses sharing the same thermodynamic state variables, but
differing static properties.Comment: submitted to Physical Revie
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