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We use computer simulations to study the glass transition of dense fluids made of polydisperse, repulsive spheres. For hard particles, we vary the volume fraction, phi, and use compressible particles to explore finite temperatures, T>0. In…

统计力学 · 物理学 2009-08-25 Ludovic Berthier , Thomas A. Witten

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

统计力学 · 物理学 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

We study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

无序系统与神经网络 · 物理学 2013-07-16 Hugo Jacquin

We discuss the analytical solution through the cavity method of a mean field model that displays at the same time an ideal glass transition and a set of jamming points. We establish the equations describing this system, and we discuss some…

无序系统与神经网络 · 物理学 2011-03-07 Marc Mezard , Giorgio Parisi , Marco Tarzia , Francesco Zamponi

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 in the mean-field…

无序系统与神经网络 · 物理学 2017-04-20 Patrick Charbonneau , Jorge Kurchan , Giorgio Parisi , Pierfrancesco Urbani , Francesco Zamponi

We investigate the dynamics of soft sphere liquids through computer simulations for spatial dimensions from $d =3$ to $8$, over a wide range of temperatures and densities. Employing a scaling of density-temperature dependent relaxation…

软凝聚态物质 · 物理学 2022-04-07 Monoj Adhikari , Smarajit Karmakar , Srikanth Sastry

Glass transition and random packing in the hard sphere system have attracted great attention due to the important role of the system in the investigation of diverse real systems including liquids, colloidal dispersions, supercooled liquids,…

统计力学 · 物理学 2007-05-23 Hongqin Liu

Motivated by a recently identified severe discrepancy between a static and a dynamic theory of glasses, we numerically investigate the behavior of dense hard spheres in spatial dimensions 3 to 12. Our results are consistent with the static…

无序系统与神经网络 · 物理学 2011-10-28 Patrick Charbonneau , Atsushi Ikeda , Giorgio Parisi , Francesco Zamponi

We consider a disordered spin model with multi-spin interactions undergoing a glass transition. We introduce a dynamic and a static length scales and compute them in the Kac limit (long--but--finite range interactions). They diverge at the…

无序系统与神经网络 · 物理学 2009-11-11 Silvio Franz , Andrea Montanari

We use computer simulations to study the microscopic dynamics of an athermal assembly of soft particles near the fluid-to-solid, jamming transition. Borrowing tools developed to study dynamic heterogeneity near glass transitions, we…

材料科学 · 物理学 2010-06-24 Claus Heussinger , Ludovic Berthier , Jean-Louis Barrat

We investigate the glass and the jamming transitions of hard spheres in finite dimensions $d$, through a revised cell theory, that combines the free volume and the Random First Order Theory (RFOT). Recent results show that in infinite…

软凝聚态物质 · 物理学 2018-01-01 Antonio Coniglio , Massimo Pica Ciamarra , Tomaso Aste

We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We…

统计力学 · 物理学 2014-01-10 Yoav Kallus , Étienne Marcotte , Salvatore Torquato

In this paper we study the glass transition in a model of identical hard spheres, focusing on the two dimensional case. In the mean-field limit the model exhibits an ideal glass transition of the same nature of that found in discontinuous…

统计力学 · 物理学 2007-05-23 M. Tarzia

Hard spheres are ubiquitous in condensed matter: they have been used as models for liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard spheres are of even wider interest, as they are related to important…

无序系统与神经网络 · 物理学 2015-03-13 Giorgio Parisi , Francesco Zamponi

Recent theoretical advances have led to the creation of a unified phase diagram for the thermal glass and athermal jamming transitions. This diagram makes clear that, while related, the mode-coupling---or dynamic---glass transition is…

软凝聚态物质 · 物理学 2017-09-20 Peter Morse , Eric Corwin

We have investigated analytically and numerically the liquid-glass transition of hard spheres for dimensions $d\to \infty $ in the framework of mode-coupling theory. The numerical results for the critical collective and self nonergodicity…

软凝聚态物质 · 物理学 2010-04-28 Bernhard Schmid , Rolf Schilling

We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

统计力学 · 物理学 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

The Spiral Model (SM) corresponds to a new class of kinetically constrained models introduced in joint works with D.S. Fisher [8,9]. They provide the first example of finite dimensional models with an ideal glass-jamming transition. This is…

统计力学 · 物理学 2009-11-13 Giulio Biroli , Cristina Toninelli

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

无序系统与神经网络 · 物理学 2007-08-08 Carolina Brito , Matthieu Wyart

The jamming transition is ubiquitous. It is present in granular matter, colloids, glasses, and many other systems. Yet, it defines a critical point whose properties still need to be fully understood. A major breakthrough came about when the…

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