1,973 research outputs found
Microscopic origin of nonlinear non-affine deformation and stress overshoot in bulk metallic glasses
The atomic theory of elasticity of amorphous solids, based on the nonaffine
response formalism, is extended into the nonlinear stress-strain regime by
coupling with the underlying irreversible many-body dynamics. The latter is
implemented in compact analytical form using a qualitative method for the
many-body Smoluchowski equation. The resulting nonlinear stress-strain
(constitutive) relation is very simple, with few fitting parameters, yet
contains all the microscopic physics. The theory is successfully tested against
experimental data on metallic glasses, and it is able to reproduce the
ubiquitous feature of stress-strain overshoot upon varying temperature and
shear rate. A clear atomic-level interpretation is provided for the stress
overshoot, in terms of the competition between the elastic instability caused
by nonaffine deformation of the glassy cage and the stress buildup due to
viscous dissipation.Comment: Physical Review B Rapid Comm., in pres
Shear banding of colloidal glasses - a dynamic first order transition?
We demonstrate that application of an increasing shear field on a glass leads
to an intriguing dynamic first order transition in analogy to equilibrium
transitions. By following the particle dynamics as a function of the driving
field in a colloidal glass, we identify a critical shear rate upon which the
diffusion time scale of the glass exhibits a sudden discontinuity. Using a new
dynamic order parameter, we show that this discontinuity is analogous to a
first order transition, in which the applied stress acts as the conjugate field
on the system's dynamic evolution. These results offer new perspectives to
comprehend the generic shear banding instability of a wide range of amorphous
materials.Comment: 4 pages, 4 figure
Criticality in Dynamic Arrest: Correspondence between Glasses and Traffic
Dynamic arrest is a general phenomenon across a wide range of dynamic
systems, but the universality of dynamic arrest phenomena remains unclear. We
relate the emergence of traffic jams in a simple traffic flow model to the
dynamic slow down in kinetically constrained models for glasses. In kinetically
constrained models, the formation of glass becomes a true (singular) phase
transition in the limit . Similarly, using the Nagel-Schreckenberg
model to simulate traffic flow, we show that the emergence of jammed traffic
acquires the signature of a sharp transition in the deterministic limit \pp\to
1, corresponding to overcautious driving. We identify a true dynamical
critical point marking the onset of coexistence between free flowing and jammed
traffic, and demonstrate its analogy to the kinetically constrained glass
models. We find diverging correlations analogous to those at a critical point
of thermodynamic phase transitions.Comment: 4 pages, 4 figure
Measuring nonlinear stresses generated by defects in 3D colloidal crystals
The mechanical, structural and functional properties of crystals are
determined by their defects and the distribution of stresses surrounding these
defects has broad implications for the understanding of transport phenomena.
When the defect density rises to levels routinely found in real-world
materials, transport is governed by local stresses that are predominantly
nonlinear. Such stress fields however, cannot be measured using conventional
bulk and local measurement techniques. Here, we report direct and spatially
resolved experimental measurements of the nonlinear stresses surrounding
colloidal crystalline defect cores, and show that the stresses at vacancy cores
generate attractive interactions between them. We also directly visualize the
softening of crystalline regions surrounding dislocation cores, and find that
stress fluctuations in quiescent polycrystals are uniformly distributed rather
than localized at grain boundaries, as is the case in strained atomic
polycrystals. Nonlinear stress measurements have important implications for
strain hardening, yield, and fatigue.Comment: in Nature Materials (2016
Extended Wertheim theory predicts the anomalous chain length distributions of divalent patchy particles under extreme confinement
Colloidal patchy particles with divalent attractive interaction can
self-assemble into linear polymer chains. Their equilibrium properties in 2D
and 3D are well described by Wertheim's thermodynamic perturbation theory which
predicts a well-defined exponentially decaying equilibrium chain length
distribution. In experimental realizations, due to gravity, particles sediment
to the bottom of the suspension forming a monolayer of particles with a
gravitational height smaller than the particle diameter. In accordance with
experiments, an anomalously high monomer concentration is observed in
simulations which is not well understood. To account for this observation, we
interpret the polymerization as taking place in a highly confined quasi-2D
plane and extend the Wertheim thermodynamic perturbation theory by defining
addition reactions constants as functions of the chain length. We derive the
theory, test it on simple square well potentials, and apply it to the
experimental case of synthetic colloidal patchy particles immersed in a binary
liquid mixture that are described by an accurate effective critical Casimir
patchy particle potential. The important interaction parameters entering the
theory are explicitly computed using the integral method in combination with
Monte Carlo sampling. Without any adjustable parameter, the predictions of the
chain length distribution are in excellent agreement with explicit simulations
of self-assembling particles. We discuss generality of the approach, and its
application range.Comment: The following article has been submitted to The Journal of Chemical
Physic
Shear-induced anisotropic decay of correlations in hard-sphere colloidal glasses
Spatial correlations of microscopic fluctuations are investigated via
real-space experiments and computer simulations of colloidal glasses under
steady shear. It is shown that while the distribution of one-particle
fluctuations is always isotropic regardless of the relative importance of shear
as compared to thermal fluctuations, their spatial correlations show a marked
sensitivity to the competition between shear-induced and thermally activated
relaxation. Correlations are isotropic in the thermally dominated regime, but
develop strong anisotropy as shear dominates the dynamics of microscopic
fluctuations. We discuss the relevance of this observation for a better
understanding of flow heterogeneity in sheared amorphous solids.Comment: 6 pages, 4 figure
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