Geometric interpretation of previtrification in hard sphere liquids.

@article{Brito2009GeometricIO,
  title={Geometric interpretation of previtrification in hard sphere liquids.},
  author={Carolina Brito and Matthieu Wyart},
  journal={The Journal of chemical physics},
  year={2009},
  volume={131 2},
  pages={
          024504
        }
}
  • C. Brito, M. Wyart
  • Published 1 March 2009
  • Mathematics
  • The Journal of chemical physics
We derive a microscopic criterion for the stability of hard sphere configurations and we show empirically that this criterion is marginally satisfied in the glass. This observation supports a geometric interpretation for the initial rapid rise in viscosity with packing fraction or previtrification. It also implies that barely stable soft modes characterize the glass structure, whose spatial extension is estimated. We show that both the short-term dynamics and activation processes occur mostly… 
Experimental Evidence of the Gardner Phase in a Granular Glass.
TLDR
Analyzing the dynamics of a vibrated bidimensional packing of bidisperse granular disks below jamming, evidence of a Gardner phase deep into the glass phase is provided and the distribution of the cage order parameters is characterized.
Low-energy non-linear excitations in sphere packings
We study theoretically and numerically how hard frictionless particles in random packings can rearrange. We demonstrate the existence of two distinct unstable non-linear modes of rearrangement, both
Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions
TLDR
Comparing mean-field predictions with the finite-dimensional simulations, this work identifies robust aspects of the description of hard spheres around the dynamical, Gardner and jamming transitions and uncover its more sensitive features.
Force distribution affects vibrational properties in hard-sphere glasses
TLDR
This work shows that to quantitatively understand stability at a microscopic level, the presence of weakly interacting pairs of particles must be included, and predicts various nontrivial scaling behavior of the elasticity and vibrational properties of colloidal glasses that can be tested experimentally.
Avalanche mediated devitrification in a glass of pseudo hard-spheres
By means of molecular dynamics we analyse several aspects of the avalanche-mediated mechanism for glass crystallization recently reported for hard sphere glasses (Sanz et al 2014 Proc. Natl Acad.
Avalanches mediate crystallization in a hard-sphere glass
TLDR
Using molecular-dynamics simulations, this work studies the crystallization of the simplest glass-forming system, a hard-sphere glass, and finds that crystallization is caused by a subset of particles cooperatively undergoing large rearrangements in an intermittent stochastic fashion (avalanches).
Growing timescales and lengthscales characterizing vibrations of amorphous solids
TLDR
Direct numerical evidence that vibrations change nature at a well-defined location deep inside the glass phase of a simple glass former is presented, and a real-space description of this transition and of the rapidly growing time- and lengthscales that accompany it is provided.
Elementary excitation modes in a granular glass above jamming
The dynamics of granular media in the jammed, glassy region is described in terms of “modes”, by applying a principal component analysis (PCA) to the covariance matrix of the position of individual
Breakdown of continuum elasticity in amorphous solids.
TLDR
Numerically, the response of simple amorphous solids to a local force dipole is characterized by a lengthscale lc that diverges as unjamming is approached as lc ∼ (z - 2d)(-1/2), at odds with previous numerical claims.
Density of states of colloidal glasses and supercooled liquids
The glass transition is perhaps the greatest unsolved problem in condensed matter physics: the main question is how to reconcile the liquid-like structure with solid-like mechanical properties. In
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 89 REFERENCES
Heterogeneous dynamics, marginal stability and soft modes in hard sphere glasses
In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network. This result enables one to study the free energy landscape of
On the rigidity of a hard-sphere glass near random close packing
We study theoretically and numerically the microscopic cause of the rigidity of hard-sphere glasses near their maximum packing. We show that, after coarse-graining over time, the hard-sphere
Compressing nearly hard sphere fluids increases glass fragility
We use molecular dynamics to investigate the glass transition occurring at large volume fraction, , and low temperature, T, in assemblies of soft repulsive particles. We find that equilibrium
Robust propagation direction of stresses in a minimal granular packing
Abstract:By employing the adaptive network simulation method, we demonstrate that the ensemble-averaged stress caused by a local force for packings of frictionless rigid beads is concentrated along
Theory of structural glasses and supercooled liquids.
We review the random first-order transition theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the
On the rigidity of amorphous solids
We poorly understand the properties of amorphous systems at small length scales, where a continuous elastic description breaks down. This is apparent when one considers their vibrational and
Viscous Liquids and the Glass Transition: A Potential Energy Barrier Picture
Recent attempts have been made to assess the relative merits of the free volume and entropy theories of viscous flow in glass‐forming liquids by accurate measurement of viscosity over wide
Scaling analysis of dynamic heterogeneity in a supercooled Lennard-Jones liquid.
TLDR
Comparison with results for kinetically constrained models suggest that the Lennard-Jones mixture studied is more similar to models of fragile liquids than models of very strong liquids.
Inhomogeneous mode-coupling theory and growing dynamic length in supercooled liquids.
TLDR
The response of the dynamical structure factor to a static inhomogeneous external potential is computed and the first direct evidence that the standard formulation of MCT is associated with a diverging length scale is provided.
Effects of compression on the vibrational modes of marginally jammed solids.
TLDR
The requirement of stability despite the destabilizing effect of pressure yields a lower bound on the number of extra contact per particle deltaz:deltaz> or =p1/2, which generalizes the Maxwell criterion for rigidity when pressure is present.
...
1
2
3
4
5
...