Corresponding States of Structural Glass Formers

Elmatad, Yael S.; Chandler, David; Garrahan, Juan P.

doi:10.1021/jp810362g

Cited by 236 publications

(321 citation statements)

References 69 publications

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“…(5) corresponds to a strength index A=x 0 ¼ 4:0, indicative of a fragile glass-former [13,14]. We also find that a fitting form proposed by Elmatad, et al [15], for which = ffiffiffiffiffiffiffiffiffiffiffiffiffi ffi m=p p diverges only at T=p 3 ¼ 0, provides an equally good fit in the regime of interest at small T=p 3 . For this fitting form,…”

supporting

confidence: 69%

Equivalence of Glass Transition and Colloidal Glass Transition in the Hard-Sphere Limit

et al. 2009

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We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by collapsing molecular-dynamics data for all systems studied onto a single curve as a function of T /p, the ratio of the temperature to the pressure. At higher pressures, there are deviations from this universal behavior that depend on the interparticle potential, implying that additional physical processes must enter into the dynamics of glass-formation.

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confidence: 69%

Equivalence of Glass Transition and Colloidal Glass Transition in the Hard-Sphere Limit

et al. 2009

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“…The existence of a temperature T × , marking dynamical changes of fragile supercooled liquids below T M , has been already considered in the past (5,13,(36)(37)(38)(39)(40)(41)(42). This is due to problems such as the existence of the dynamical divergence associated with the VFT form and the possibility that neither T 0 nor T g is relevant to describe and understand slowing down in transport parameters of supercooled liquids.…”

mentioning

confidence: 99%

“…A common theme of many works on glass-forming liquids is that, inside the region of the supercooled phase limited by such a crossover temperature T × , their transport parameters such as viscosity (5,13,39) and dielectric relaxation time (38,40,41) can have universal features. For example, using for η a e T ¼ T g ∕T representation (39), one obtains a master curve only for T < e T, whereas for T > e T deviations occur and the highest T data are fit using the VFT formula.…”

mentioning

confidence: 99%

“…In a very recent case, the analysis of the relaxation times and the viscosities (of 58 liquids) in terms of the parabolic form ½ðT o ∕TÞ − 1 2 exhibits a degree of universality inside the interval T × < T < T o (41), where T o is defined as an onset temperature where the liquid dynamics crosses over from that of a simple liquid to that of a strongly correlated material like a glass former. As with T × , also T o depends on the material.…”

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confidence: 99%

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Transport properties of glass-forming liquids suggest that dynamic crossover temperature is as important as the glass transition temperature

Mallamace

Branca

Corsaro

et al. 2010

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

210

233

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It is becoming common practice to partition glass-forming liquids into two classes based on the dependence of the shear viscosity η on temperature T . In an Arrhenius plot, ln η vs 1∕T , a strong liquid shows linear behavior whereas a fragile liquid exhibits an upward curvature [super-Arrhenius (SA) behavior], a situation customarily described by using the Vogel-Fulcher-Tammann law. Here we analyze existing data of the transport coefficients of 84 glassforming liquids. We show the data are consistent, on decreasing temperature, with the onset of a well-defined dynamical crossover η × , where η × has the same value, η × ≈ 10 3 Poise, for all 84 liquids. The crossover temperature, T × , located well above the calorimetric glass transition temperature T g , marks significant variations in the system thermodynamics, evidenced by the change of the SA-like T dependence above T × to Arrhenius behavior below T × . We also show that below T × the familiar Stokes-Einstein relation D∕T ∼ η −1 breaks down and is replaced by a fractional form D∕T ∼ η −ζ , with ζ ≈ 0.85. dynamical arrest | dynamic transition | supercooled liquids

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“…As expected [3-5, 30, 31], the leading dependence on inverse temperature is quadratic. In order to connect with the DF phenomenology we fit ln(τ per ) with the "parabolic" form [32,33] …”

Section: Dimensional Dependence Of the Breakdown Of The Stokes-ementioning

confidence: 99%

Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation

Kim

Thorpe

Noh

et al. 2017

The Journal of Chemical Physics

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We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The d-dimensional spinfacilitated East model with embedded probe particles is used as a representative super-Arrhenius glass forming system. We investigate the existence of an upper critical dimension in this model by considering decoupling of transport rates through an effective fractional Stokes-Einstein relation, D ∼ τ −1+ω , with D and τ the diffusion constant of the probe particle and the relaxation time of the model liquid, respectively, and where ω > 0 encodes the breakdown of the standard Stokes-Einstein relation. To the extent that decoupling indicates non mean-field behavior, our simulations suggest that the East model has an upper critical dimension which is at least above d = 10, and argue that it may be actually be infinite. This result is due to the existence of hierarchical dynamics in the East model in any finite dimension. We discuss the relevance of these results for studies of decoupling in high dimensional atomistic models.

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Corresponding States of Structural Glass Formers

Cited by 236 publications

References 69 publications

Equivalence of Glass Transition and Colloidal Glass Transition in the Hard-Sphere Limit

Equivalence of Glass Transition and Colloidal Glass Transition in the Hard-Sphere Limit

Transport properties of glass-forming liquids suggest that dynamic crossover temperature is as important as the glass transition temperature

Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation

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