Mean-field dynamic criticality and geometric transition in the Gaussian core model

Coslovich, Daniele; Ikeda, Atsushi; Miyazaki, Kunimasa

doi:10.1103/physreve.93.042602

Cited by 17 publications

(34 citation statements)

References 57 publications

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“…[30][31][32] . As mentioned in an earlier study 20 in the calculation of the density of states, we also find some imaginary modes (∼ 0.19%) which we ignore to calculate the vibrational entropy. We believe that this will not make any change in the physical properties of the system.…”

Section: Configurational Entropysupporting

confidence: 61%

“…In standard glass former as the system approaches low temperatures, both the non-Gaussian parameter α 2 (t) and the four-point correlation function χ 4 (t) increase in a similar fashion. However in GCM the α 2 (t) was found to grow much less than in KA model 18 but the χ 4 (t) was found to grow much more 20 . This apparent contradiction was explained in terms of mobility field.…”

Section: Introductionmentioning

confidence: 78%

“…The most well-known model for glass forming liquids is Kob-Andersen model which is a binary mixture (80: 20) 22 . The interatomic pair potential between species α and β, with α, β = A, B, U αβ (r) is described by a shifted and truncated Lennard-Jones potential, as given by:…”

Section: Simulation Detailsmentioning

confidence: 99%

“…From mode localization analysis it has been found that as temperature decreases the unstable directions that disappear at the dynamic transition temperature are highly delocalized for the GCM whereas they are increasingly localized for other standard glass former like KA model 21 . It has been shown that due to the high energy barriers, the hopping like motions are strongly suppressed in GCM and the van Hove correlation function does not show any bimodal distribution even at low temperatures 20 . In this paper, we present a comparative study between KA binary mixture at density ρ = 1.2 and mono-atomic GCM at ρ = 1.5 and 2.0.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of the anomalous mean-field like properties of Gaussian core model in terms of entropy

Nandi

Bhattacharyya

2018

The Journal of Chemical Physics

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Studies of the Gaussian core model (GCM) have shown that it behaves like a mean-field model and the properties are quite different from standard glass former. In this work, we investigate the entropies, namely the excess entropy (S ex ) and the configurational entropy (S c ) and their different components to address these anomalies. Our study corroborates most of the earlier observations and also sheds new light on the high and low temperature dynamics. We find that unlike in standard glass former where high temperature dynamics is dominated by two-body correlation and low temperature by many-body correlations, in GCM both high and low temperature dynamics are dominated by many body correlations. We also find that the many-body entropy which is usually positive at low temperatures and is associated with activated dynamics is negative in GCM suggesting suppression of activation. Interestingly despite suppression of activation the Adam-Gibbs (AG) relation which describes activated dynamics holds in GCM, thus suggesting a non-activated contribution in AG relation. We also find an overlap between the AG and mode coupling power law regime leading to a power law behaviour of S c . From our analysis of this power law behaviour we predict that in GCM the high temperature dynamics will disappear at dynamical transition temperature and below that, there will be a transition to the activated regime. Our study further reveals that the activated regime in GCM is quite narrow.

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Section: Configurational Entropysupporting

confidence: 61%

Section: Introductionmentioning

confidence: 78%

Section: Simulation Detailsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Analysis of the anomalous mean-field like properties of Gaussian core model in terms of entropy

Nandi

Bhattacharyya

2018

The Journal of Chemical Physics

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“…(9) tends toward the d → ∞ prediction as d increases (37) A key prediction of the exact solution that has yet to be convincingly tested is the critical scaling of χ4 and ξ d -see Ref. (55) for a test in a different model. Because increasing d enlarges the range of power-law scaling of τα, the divergence of χ4 should then also become sharper.…”

Section: Liquid Dynamics In Finite Dimensionsmentioning

confidence: 99%

Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

Charbonneau

Kurchan

Parisi

et al. 2017

Annu. Rev. Condens. Matter Phys.

306

421

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Despite decades of work, gaining a first-principle understanding of amorphous materials remains an extremely challenging problem. However, recent theoretical breakthroughs have led to the formulation of an exact solution of a microscopic model in the mean-field limit of infinite spatial dimension, and numerical simulations have remarkably confirmed the dimensional robustness of some of the predictions. This review describes these latest advances. More specifically, we consider the dynamical and thermodynamic descriptions of hard spheres around the dynamical, Gardner and jamming transitions. Comparing meanfield predictions with the finite-dimensional simulations, we identify robust aspects of the theory and uncover its more sensitive features. We conclude with a brief overview of ongoing research.

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Engineering Ultrasoft Interactions in Stiff All‐DNA Dendrimers by Site‐Specific Control of Scaffold Flexibility

Adžić,

Jochum,

Likos

et al. 2024

Small

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A combined experimental and theoretical study of the structural correlations in moderately concentrated suspensions of all‐DNA dendrimers of the second generation (G2) with controlled scaffold rigidity is reported here. Small‐angle X‐ray scattering experiments in concentrated aqueous saline solutions of stiff all‐DNA G2 dendritic constructs reveal a novel anomalous liquid‐like phase behavior which is reflected in the calculated structure factors as a two‐step increase at low scattering wave vectors. By developing a new design strategy for adjusting the particle's internal flexibility based on site‐selective incorporation of single‐stranded DNA linkers into the dendritic scaffold, it is shown that this unconventional type of self‐organization is strongly contingent on the dendrimer's stiffness. A comprehensive computer simulation study employing dendritic models with different levels of coarse‐graining, and two theoretical approaches based on effective, pair‐potential interactions, remarkably confirmed the origin of this unusual liquid‐like behavior. The results demonstrate that the precise control of the internal structure of the dendritic scaffold conferred by the DNA can be potentially used to engineer a rich palette of novel ultrasoft interaction potentials that could offer a route for directed self‐assembly of intriguing soft matter phases and experimental realizations of a host of unusual phenomena theoretically predicted for ultrasoft interacting systems.

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Mean-field dynamic criticality and geometric transition in the Gaussian core model

Cited by 17 publications

References 57 publications

Analysis of the anomalous mean-field like properties of Gaussian core model in terms of entropy

Analysis of the anomalous mean-field like properties of Gaussian core model in terms of entropy

Glass and Jamming Transitions: From Exact Results to Finite-Dimensional Descriptions

Engineering Ultrasoft Interactions in Stiff All‐DNA Dendrimers by Site‐Specific Control of Scaffold Flexibility

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