# Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition.

@article{Marcotte2013NonequilibriumSG, title={Nonequilibrium static growing length scales in supercooled liquids on approaching the glass transition.}, author={{\'E}tienne Marcotte and Frank H. Stillinger and Salvatore Torquato}, journal={The Journal of chemical physics}, year={2013}, volume={138 12}, pages={ 12A508 } }

The small wavenumber k behavior of the structure factor S(k) of overcompressed amorphous hard-sphere configurations was previously studied for a wide range of densities up to the maximally random jammed state, which can be viewed as a prototypical glassy state [A. Hopkins, F. H. Stillinger, and S. Torquato, Phys. Rev. E 86, 021505 (2012)]. It was found that a precursor to the glassy jammed state was evident long before the jamming density was reached as measured by a growing nonequilibrium… Expand

#### Figures and Topics from this paper

#### 26 Citations

Equilibrium theory of the hard sphere fluid and glasses in the metastable regime up to jamming. II. Structure and application to hopping dynamics.

- Physics, Medicine
- The Journal of chemical physics
- 2013

The structural theory is used as input to the nonlinear Langevin equation theory of activated dynamics, and calculations of the alpha relaxation time based on single particle hopping are compared to recent colloid experiments and simulations at very high volume fractions. Expand

The Perfect Glass Paradigm: Disordered Hyperuniform Glasses Down to Absolute Zero

- Materials Science, Physics
- Scientific reports
- 2016

This work presents specific examples of interactions that eliminate the possibilities of crystalline and quasicrystalline phases, while creating mechanically stable amorphous glasses down to absolute zero temperature. Expand

Manifestations of metastable criticality in the long-range structure of model water glasses

- Medicine, Physics
- Nature communications
- 2021

Using molecular dynamics simulations of the realistic TIP4P/2005 model, a striking signature of the liquid-liquid critical point is found in the structure of water glasses, manifested as a pronounced increase in long-range density fluctuations at pressures proximate to the critical pressure. Expand

Spatiotemporal heterogeneity of local free volumes in highly supercooled liquid.

- Physics, Medicine
- The Journal of chemical physics
- 2013

It is suggested that long-ranged vibration modes facilitate the interactions between fragile regions represented by free volumes, to induce dynamical correlations at a large scale. Expand

Microscopic structure and dynamics of glass like domains in a low density binary mixture

- Chemistry
- 2016

We present results from extensive equilibrium molecular dynamic simulations of a binary Lennard Jones 80:20 mixture. Our study focuses on the changes in structural and dynamic properties of this… Expand

Influence of Pressure on Glass Formation in a Simulated Polymer Melt

- Chemistry
- 2017

We investigate the thermodynamic and dynamic properties of a model unentangled glass-forming polymer melt over a wide range of pressures (P) and temperatures (T) using molecular dynamics simulation.… Expand

The length and time scales of water's glass transitions.

- Materials Science, Medicine
- The Journal of chemical physics
- 2014

Using a general model for the equilibrium dynamics of supercooled liquids, the emergent length and time scales that govern the nonequilibrium relaxation behavior of amorphous ice prepared by rapid cooling are computed. Expand

Elasticity, viscoelasticity, and glass transition of model systems by computer simulation

- Materials Science
- 2016

Elasticity, viscoelasticity and glass transitions of glass-forming liquids and model solids are investigated by computer simulations at equilibrium using the stress fluctuation formalism. The models… Expand

Structural characterization of many-particle systems on approach to hyperuniform states.

- Medicine, Physics
- Physical review. E
- 2021

The focus of this work is the exploration of quantitative descriptors that herald when a many-particle system in d-dimensional Euclidean space R^{d} approaches a hyperuniform state as a function of the relevant control parameter. Expand

Glass Transition as the Rheological Inverse of Gelation

- Materials Science
- 2013

This is a comparative study in search for common patterns in the relaxation dynamics of amorphous materials in the approach of a liquid-to-solid transition from the liquid side. Observations with two… Expand

#### References

SHOWING 1-10 OF 52 REFERENCES

Nonequilibrium static diverging length scales on approaching a prototypical model glassy state.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2012

A nonequ equilibrium index X is defined and used to demonstrate that the packings studied are intrinsically nonequilibrium in nature well before the critical state is reached. Expand

Growing length and time scales in glass-forming liquids

- Physics, Medicine
- Proceedings of the National Academy of Sciences
- 2009

Finite-size scaling is performed for a realistic glass-former, using computer simulations, to evaluate the length scale associated with spatially heterogeneous dynamics, which grows as temperature decreases, and shows that relaxation times are determined by configurational entropy, in accordance with the Adam–Gibbs relation. Expand

Computer simulations of dense hard‐sphere systems

- Chemistry
- 1996

We present comprehensive results of large‐scale molecular dynamics and Monte Carlo simulations of systems of dense hard spheres at volume fraction φ along the disordered, metastable branch of the… Expand

Scaling behavior in the beta -relaxation regime of a supercooled Lennard-Jones mixture.

- Physics, Medicine
- Physical review letters
- 1994

The predictions of mode-coupling-theory on the existence of a von Schweidler law are found to hold for a molecular dynamics simulation of a supercooled binary Lennard-Jones mixture and the exponents in these two power-laws are very close to satisfying the exponent relationship predicted by the mode-Coupling theory. Expand

Relationships between the single particle barrier hopping theory and thermodynamic, disordered media, elastic, and jamming models of glassy systems.

- Chemistry, Medicine
- The Journal of chemical physics
- 2007

Several analytic arguments suggest a qualitative consistency between the barrier hopping theory and solid-state elastic models based on the high frequency shear modulus and a molecular-sized apparent activation volume. Expand

Theory of structural glasses and supercooled liquids.

- Materials Science, Medicine
- Annual review of physical chemistry
- 2007

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… Expand

Growing point-to-set length scale correlates with growing relaxation times in model supercooled liquids.

- Physics, Medicine
- Physical review letters
- 2012

For the first time, the thermodynamic "point-to-set" length scale is determined in several canonical model systems and a quantitative connection between this length scale and the growth of relaxation times is demonstrated. Expand

Glass transitions in one-, two-, three-, and four-dimensional binary Lennard-Jones systems.

- Chemistry, Medicine
- Journal of physics. Condensed matter : an Institute of Physics journal
- 2009

The calorimetric liquid-glass transition is investigated by performing simulations of a binary Lennard-Jones mixture in one through four dimensions and it is found that with increasing D crystallization becomes increasingly more difficult. Expand

New Model for the Study of Liquid–Vapor Phase Transitions

- Chemistry
- 1970

A new model is proposed for the study of the liquid–vapor phase transition. The potential energy of a given configuration of N molecules is defined by U(r1, ···, rN) = [W(r1, ···, rN) − Nυ0]e/υ0≤0,… Expand

Supercooled liquids and the glass transition

- Physics, Medicine
- Nature
- 2001

Current theoretical knowledge of the manner in which intermolecular forces give rise to complex behaviour in supercooled liquids and glasses is discussed. Expand