Decorrelation of the static and dynamic length scales in hard-sphere glass formers

Charbonneau, Patrick; Tarjus, Gilles

doi:10.1103/physreve.87.042305

Cited by 78 publications

(98 citation statements)

References 73 publications

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“…with the correlation length diverging in the infinite pressure limit, and thus consistent with the ρ k = ρ j prediction 71 . Previous numerical investigations of the equation of state along the equilibrium metastable branch 60,65 for monodisperse hard sphere support the equation of state of Eq.…”

Section: Extended Theorysupporting

confidence: 84%

Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

2017

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We investigate the glass and the jamming transitions of hard spheres in finite dimensions d, through a revised cell theory, that combines the free volume and the Random First Order Theory (RFOT). Recent results show that in infinite dimension the ideal glass transition and jamming transitions are distinct, while based on our theory we argue that they indeed coincide for finite d. As a consequence, jamming results into a percolation transition described by RFOT, with a static length diverging with exponent ν = 2/d, which we verify through finite size scaling, and standard critical exponents α = 0, β = 0 and γ = 2 independent on d.

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Section: Extended Theorysupporting

confidence: 84%

Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

2017

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“…The PTS correlation length is often described as a remedy to both problems, because it should be able to detect static correlations without a detailed knowledge of the local order involved in these correlations. In studies of binary mixtures of hard spheres, the PTS correlation length was shown to grow only modestly in the regime accessible to computer simulation (14,23), differently from the dynamical correlation length, which grows much more rapidly. These results suggested that no link exists between a single static length scale and the dynamical slowing down (the only exception would be close to a possible ideal glass transition temperature) (5,14).…”

Section: Significancementioning

confidence: 94%

“…It is intuitively defined as the average distance between pinned particles that forces the system to stay in an amorphous configuration with a vanishing configurational entropy. The reasons behind the popularity of PTS correlation lengths in the study of the glass transition are at least twofold: (i) they are expected to provide an "order-agnostic" method to measure static correlations (23,24); (ii) it is theoretically established that no divergence of the relaxation time of a glass at finite temperature can occur without the concomitant divergence of the static correlation length (25).…”

mentioning

confidence: 99%

Assessing the role of static length scales behind glassy dynamics in polydisperse hard disks

Russo

Tanaka

2015

Proc. Natl. Acad. Sci. U.S.A.

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The possible role of growing static order in the dynamical slowing down toward the glass transition has recently attracted considerable attention. On the basis of random first-order transition theory, a new method to measure the static correlation length of amorphous order, called "point-to-set" (PTS) length, has been proposed and used to show that the dynamic length grows much faster than the static length. Here, we study the nature of the PTS length, using a polydisperse hard-disk system, which is a model that is known to exhibit a growing hexatic order upon densification. We show that the PTS correlation length is decoupled from the steeper increase of the correlation length of hexatic order and dynamic heterogeneity, while closely mirroring the decay length of two-body density correlations. Our results thus provide a clear example that other forms of order can play an important role in the slowing down of the dynamics, casting a serious doubt on the order-agnostic nature of the PTS length and its relevance to slow dynamics, provided that a polydisperse hard-disk system is a typical glass former.glass transition | structural length scales | pinning | hexatic order | slow dynamics W hen we supercool a liquid while avoiding crystallization, dynamics becomes heterogeneous (1, 2) and slows down significantly toward the glass transition, below which a system becomes a nonergodic state. Now there is a consensus that this slowing down accompanies the growth of dynamical correlation length (3). Several different physical scenarios have been proposed, yet the origin is still a matter of serious debate: although some scenarios describe the glass transition as a purely kinetic phenomenon (4), others posit a growing static order (5) or a loss of configurational entropy (6) behind dynamical slowing down. Among this last category, we will focus here on two distinct approaches. The first one is random first-order transition (RFOT) theory (7-9), which is based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. The second approach, recently proposed by some of us (10, 11), ascribes the growth of the dynamical correlation length with the corresponding growth of the static correlation length. Here, we focus on these two scenarios based on static order and consider which is more relevant to the origin of glassy slow dynamics, using a simple model glass former, 2D polydisperse hard disks (12, 13).In RFOT, metastable states are thought to have amorphous order, whose correlation length diverges toward the ideal glass transition point. It was recently suggested that the so-called point-to-set (PTS) length, which is the correlation length of amorphous order, can be extracted by pinning a finite fraction of particles and studying the dependence of the overlap function on the pinning particle concentration. According to the RFOT theory, amorphous order develops in any glass-forming liquids and this method is thought to be able to pick up the static correlation length whatever...

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“…While the lifetime of the heterogeneous dynamics is calculated using the three-time correlation functions, the length scale was not examined. In the present study, we further investigate the heterogeneous This phenomenon, typically called dynamic heterogeneity, has been investigated through diverse theoretical 6,10,[22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37] and experimental studies.…”

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confidence: 99%

Heterogeneous dynamics and its length scale in simple ionic liquid models: a computational study

Kim

Park

Jung

2016

Phys. Chem. Chem. Phys.

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We numerically investigate the dynamic heterogeneity and its length scale found in the coarse-grained ionic liquid model systems. In our ionic liquid model systems, cations are modeled as dimers with positive charge, while anions are modeled as monomers with negative charge, respectively. To study the effect of the charge distributions on the cations, two ionic liquid models with different charge distributions are used and the model with neutral charge is also considered as a counterpart. To reveal the heterogeneous dynamics in the model systems, we examine spatial distributions of displacement and time distributions of exchange and persistence times. All the models show significant increase of the dynamic heterogeneity as the temperature is lowered. The dynamic heterogeneity is quantified via the well-known four-point susceptibility, χ 4 (t), which measures the fluctuation of a time correlation function.The dynamic correlation length is calculated by fitting the dynamic structure factor, S 4 (k, t), with Ornstein-Zernike form at the time scale at which the dynamic heterogeneity reaches the maximum value. Obtained time and length scales exhibit a power law relation at the low temperatures, similar to various supercooled liquid models.Especially, the charged model systems show unusual crossover behaviors which are not observed in the uncharged model system. We ascribe the crossover behavior to the enhanced cage effect caused by charges on the particles.

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Decorrelation of the static and dynamic length scales in hard-sphere glass formers

Cited by 78 publications

References 73 publications

Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

Universal behaviour of the glass and the jamming transitions in finite dimensions for hard spheres

Assessing the role of static length scales behind glassy dynamics in polydisperse hard disks

Heterogeneous dynamics and its length scale in simple ionic liquid models: a computational study

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