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Related papers: Strong geometric frustration in model glassformers

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We study the geometrical frustration scenario of glass formation for simple hard sphere models. We find that the dual picture in terms of defects brings little insight and no theoretical simplification for the understanding of the slowing…

Disordered Systems and Neural Networks · Physics 2015-03-19 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

We analytically and numerically characterize the structure of hard-sphere fluids in order to review various geometrical frustration scenarios of the glass transition. We find generalized polytetrahedral order to be correlated with…

Statistical Mechanics · Physics 2013-01-07 Benoit Charbonneau , Patrick Charbonneau , Gilles Tarjus

We use a newly-developed method to identify local structural motifs in a popular model glassformer, the Kob-Andersen binary Lennard-Jones mixture. By measuring the lifetimes of a zoo of clusters, we find that 11-membered bicapped square…

Soft Condensed Matter · Physics 2017-02-08 Alex Malins , Jens Eggers , Hajime Tanaka , C. Patrick Royall

We investigate the static and dynamic properties of a weakly polydisperse hard sphere system in the deeply supercooled state, i.e. at densities higher than that corresponding to the mode-coupling transition. The structural analysis reveals…

Soft Condensed Matter · Physics 2017-12-27 C. Patrick Royall , Walter Kob

Geometric frustration is an approach to the glass transition based upon the consideration of locally favoured structures (LFS), which are geometric motifs which minimise the local free energy. Geometric frustration proposes that a…

Statistical Mechanics · Physics 2015-08-17 Peter Crowther , Francesco Turci , C. Patrick Royall

We show by means of a Monte Carlo simulation study that three-dimensional models with long-range frustration display the generic phenomena seen in fragile glassforming liquids. Due to their properties (absence of quenched disorder, physical…

Statistical Mechanics · Physics 2009-11-07 M. Grousson , G. Tarjus , P. Viot

We investigate the influence of static correlations beyond the pair level on the dynamics of selected model glass-formers. We compare the pair structure, angular distribution functions, and statistics of Voronoi polyhedra of two well-known…

Statistical Mechanics · Physics 2011-06-01 Daniele Coslovich

Isomorphs are lines in the density-temperature plane of certain "strongly-correlating" or "Roskilde simple" liquids where two-point structure and dynamics have been shown to be close to identical up to a scale transformation. Here we…

Soft Condensed Matter · Physics 2013-12-25 Alex Malins , Jens Eggers , C. Patrick Royall

Three classes of harmonic disorder systems (Lennard-Jones like glasses, percolators above threshold, and spring disordered lattices) have been numerically investigated in order to clarify the effect of different types of disorder on the…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Angelani , M. Montagna , G. Ruocco , G. Viliani

Understanding how frustration and disorder shape relaxation in complex systems is a central problem in statistical physics and quantum annealing. Spin-glass models provide a natural framework to explore this connection, as their energy…

Statistical Mechanics · Physics 2025-10-30 Viviana Gómez , Gabriel Téllez , Fernando J. Gómez-Ruiz

Geometric frustration appears in a broad range of systems, generally emerging as disordered ground configurations, thereby impeding understanding of the phenomenon's underlying mechanics. We report on a continuum system featuring locally…

Applied Physics · Physics 2021-06-04 Janav P. Udani , Andres F. Arrieta

Geometric frustration arises when lattice structure prevents simultaneous minimization of local interactions. It leads to highly degenerate ground states and, subsequently, complex phases of matter such as water ice, spin ice and frustrated…

Soft Condensed Matter · Physics 2008-12-18 Yilong Han , Yair Shokef , Ahmed M. Alsayed , Peter Yunker , Tom C. Lubensky , Arjun G. Yodh

The dynamical properties of the site frustrated percolation model are investigated and compared with those of glass forming liquids. When the density of the particles on the lattice becomes high enough, the dynamics of the model becomes…

Statistical Mechanics · Physics 2009-10-30 S. Scarpetta , A. de Candia , A. Coniglio

The topological nature of the disorder of glasses and supercooled liquids strongly affects their high-frequency dynamics. In order to understand its main features, we analytically studied a simple topologically disordered model, where the…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Systems in which a short-ranged attraction and long-ranged repulsion compete are intrinsically frustrated, leading their structure and dynamics to be dominated either by mesoscopic order or by metastable disorder. Here we report the latter…

Soft Condensed Matter · Physics 2017-12-27 Christian L. Klix , C. Patrick Royall , Hajime Tanaka

The theory developed in our previous papers is applied in this paper to investigate the dependence of slowing down of dynamics of glass-forming liquids on the attractive and repulsive parts of intermolecular interactions. Through an…

Soft Condensed Matter · Physics 2021-05-12 Ankit Singh , Yashwant Singh

Geometric frustration results from a discrepancy between the locally favored arrangement of the constituents of a system and the geometry of the embedding space. Geometric frustration can be either non-cumulative, which implies an extensive…

Soft Condensed Matter · Physics 2022-02-10 Snir Meiri , Efi Efrati

Using molecular dynamics simulations, we have determined that the nature of dynamical heterogeneity in jammed liquids is very sensitive to short-ranged attractions. Weakly attractive systems differ little from dense hard-sphere and…

Soft Condensed Matter · Physics 2007-05-23 David R. Reichman , Eran Rabani , Phillip L. Geissler

There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

Statistical Mechanics · Physics 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

Geometric frustration is a phenomenon in a lattice system where not all interactions can be satisfied, the simplest example being antiferromagnetically coupled spins on a triangular lattice. Frustrated systems are characterized by their…

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