Simple liquids’ quasiuniversality and the hard-sphere paradigm

Dyre, Jeppe C.

doi:10.1088/0953-8984/28/32/323001

Cited by 141 publications

(161 citation statements)

References 203 publications

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“…Our data indicate that in the IPL system unjamming occurs in the limit β → ∞, where μ/B presumably vanishes. We note that varying β by a factor of 4, between β = 8 and β = 32, the shear-to-bulk modulus ratio changes by merely 20%, which is strong support of the quasiuniversality of the IPL model put forward by Dyre and coworkers [28,36,37], at least in the low-β regime. Interestingly, we find in both the EXP and IPL systems that the ratio of shear-to-bulk modulus is larger in the unstressed systems by a factor of ≈ 2 on approaching the unjamming point, precisely as predicted by effective medium theory [16].…”

Section: A Shear-to-bulk Moduli Ratiosupporting

confidence: 80%

“…This increase depends on our particular choice of density; upon decreasing the density, one expects eventually the opposite trend, i.e., that the moduli would decrease exponentially with β. However, since the IPL model possesses an intrinsic invariance to density changes, as previously shown in extensive work by Dyre et al [28,36,37], the behavior of observables that are properly made dimensionless (and in particular of the ratio of shear-to-bulk moduli) does not depend on our choice of density. This point is further discussed in Sec.…”

Section: A Shear-to-bulk Moduli Ratiomentioning

confidence: 71%

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Unjamming in models with analytic pairwise potentials

Kooij

Lerner

2017

Phys. Rev. E

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Canonical models for studying the unjamming scenario in systems of soft repulsive particles assume pairwise potentials with a sharp cutoff in the interaction range. The sharp cutoff renders the potential nonanalytic but makes it possible to describe many properties of the solid in terms of the coordination number z, which has an unambiguous definition in these cases. Pairwise potentials without a sharp cutoff in the interaction range have not been studied in this context, but should in fact be considered to understand the relevance of the unjamming phenomenology in systems where such a cutoff is not present. In this work we explore two systems with such interactions: an inverse power law and an exponentially decaying pairwise potential, with the control parameters being the exponent (of the inverse power law) for the former and the number density for the latter. Both systems are shown to exhibit the characteristic features of the unjamming transition, among which are the vanishing of the shear-to-bulk modulus ratio and the emergence of an excess of low-frequency vibrational modes. We establish a relation between the pressure-to-bulk modulus ratio and the distance to unjamming in each of our model systems. This allows us to predict the dependence of other key observables on the distance to unjamming. Our results provide the means for a quantitative estimation of the proximity of generic glass-forming models to the unjamming transition in the absence of a clear-cut definition of the coordination number and highlight the general irrelevance of nonaffine contributions to the bulk modulus.

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Section: A Shear-to-bulk Moduli Ratiosupporting

confidence: 80%

Section: A Shear-to-bulk Moduli Ratiomentioning

confidence: 71%

Unjamming in models with analytic pairwise potentials

Kooij

Lerner

2017

Phys. Rev. E

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“…31,44 For such systems, the scaling property is rarely obvious from the mathematical expression for U(R) for which reason the term "hidden scale invariance" is sometimes used. 28,33,[45][46][47][48][49] The R-simple region of a given system is identified in computer simulations as the state points characterized by strong virial potential-energy correlations in constant-volume canonical-ensemble fluctuations.…”

mentioning

confidence: 99%

“…(10) suggests a quasiuniversal viscosity expression for simple liquids, 22,44,72 which reduces the number of independent experiments/simulations needed to map out the viscosity as a function of state point in the phase diagram. Just two measurements of viscosity can now be used to predict its value throughout a fairly large liquid region of the phase diagram.…”

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confidence: 99%

Communication: Simple liquids’ high-density viscosity

Costigliola

Pedersen

Heyes

et al. 2018

The Journal of Chemical Physics

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“…We can thus neglect fluctuations of ϕ ij in Eq. (23), and only keep the leading order contribution, Clearly the distributions obtain a constant shape as the unjamming transition is approached. This can be used to determine the scaling of ∆r as a function of the control parameter.…”

Section: Scaling Theory For Bna/bmentioning

confidence: 99%

Characterizing nonaffinity upon decompression of soft-sphere packings

Kooij

Lerner

2019

Phys. Rev. E

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Athermal elastic moduli of soft sphere packings are known to exhibit universal scaling properties near the unjamming point, most notably the vanishing of the shear-to-bulk moduli ratio G/B upon decompression. Interestingly, the smallness of G/B stems from the large nonaffinity of deformationinduced displacements under shear strains, compared to insignificant nonaffinity of displacements under compressive strains. In this work we show using numerical simulations that the relative weights of the affine and nonaffine contributions to the bulk modulus, and their dependence on the proximity to the unjamming point, can qualitatively differ between different models that feature the same generic unjamming phenomenology. In canonical models of unjamming we observe that the ratio of the nonaffine to total bulk moduli Bna/B approaches a constant upon decompression, while in other, less well-studied models, it vanishes. We show that the vanishing of Bna/B in noncanonical models stems from the emergence of an invariance of net (zero) forces on the constituent particles to compressive strains at the onset of unjamming. We provide a theoretical scaling analysis that fully explains our numerical observations, and allows to predict the scaling behavior of Bna/B upon unjamming, given the functional form of the pairwise interaction potential. arXiv:1907.09318v1 [cond-mat.soft]

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Simple liquids’ quasiuniversality and the hard-sphere paradigm

Cited by 141 publications

References 203 publications

Unjamming in models with analytic pairwise potentials

Unjamming in models with analytic pairwise potentials

Communication: Simple liquids’ high-density viscosity

Characterizing nonaffinity upon decompression of soft-sphere packings

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