Structural phases in non-additive soft-disk mixtures: Glasses, substitutional order, and random tilings

Widmer‐Cooper, Asaph; Harrowell, Peter

doi:10.1063/1.3666010

Cited by 7 publications

(9 citation statements)

References 29 publications

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“…This comparison should be made with care: Since the interaction potential we employ for the IPL model is nonadditive [39] (see model definitions in Sec. II B), and since the EXP model employs different energy parameters for different types of interactions (see model definitions in Sec.…”

Section: Discussionmentioning

confidence: 99%

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: Discussionmentioning

confidence: 99%

Unjamming in models with analytic pairwise potentials

Kooij

Lerner

2017

Phys. Rev. E

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“…Simple models of a liquid characterized by a favored local structure have demonstrated that the liquid can accommodate a substantial fraction of the favored structure as long as this structure is of low symmetry. [203][204][205] Eventually, such liquids become unstable with respect to crystallization. The accumulation of order in a liquid might, in itself, involve sufficient cooperative character to result in a phase transition between low and high ordered liquid states.…”

Section: B Structure Dynamics and The Limits Of The Liquid Statementioning

confidence: 99%

Perspective: Supercooled liquids and glasses

Ediger

Harrowell

2012

The Journal of Chemical Physics

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463

447

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Supercooled liquids and glasses are important for current and developing technologies. Here we provide perspective on recent progress in this field. The interpretation of supercooled liquid and glass properties in terms of the potential energy landscape is discussed. We explore the connections between amorphous structure, high frequency motions, molecular motion, structural relaxation, stability against crystallization, and material properties. Recent developments that may lead to new materials or new applications of existing materials are described.

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“…), may, depending on the overall packing fraction, favor configurations where the favored distance between different pairs of particles behaves non-additively. Non-additive interactions have been shown to significant impact the phase behavior of mixtures of particles [25][26][27][28][29] , and hence are likely to be an important factor in predicting the self-assembly of hard-disk mixtures.…”

Section: (Non)additive Hard-disk Modelmentioning

confidence: 99%

Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks

Fayen

Jagannathan

Foffi

et al. 2020

The Journal of Chemical Physics

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One versatile route to the creation of two-dimensional crystal structures on the nanometer to micrometer scale is the self-assembly of colloidal particles at an interface. Here, we explore the crystal phases that can be expected from the self-assembly of mixtures of spherical particles of two different sizes, which we map to (additive or non-additive) hard-disk mixtures. We map out the infinite-pressure phase diagram for these mixtures, using Floppy Box Monte Carlo simulations to systematically sample candidate crystal structures with up to 12 disks in the unit cell. As a function of the size ratio and number ratio of the two species of particles, we find a rich variety of periodic crystal structures. Additionally, we identify random tiling regions to predict random tiling quasicrystal stability ranges. Increasing non-additivity both gives rise to additional crystal phases and broadens the stability regime for crystal structures involving a large number of large-small contacts, including random tilings. Our results provide useful guidelines for controlling the self-assembly of colloidal particles at interfaces.

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Structural phases in non-additive soft-disk mixtures: Glasses, substitutional order, and random tilings

Cited by 7 publications

References 29 publications

Unjamming in models with analytic pairwise potentials

Unjamming in models with analytic pairwise potentials

Perspective: Supercooled liquids and glasses

Infinite-pressure phase diagram of binary mixtures of (non)additive hard disks

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