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Recent studies show that volume fractions $\phiJ$ at the jamming transition of frictionless hard spheres and discs are not uniquely determined but exist over a continuous range. Motivated by this observation, we numerically investigate…

Soft Condensed Matter · Physics 2012-11-20 Misaki Ozawa , Takeshi Kuroiwa , Atsushi Ikeda , Kunimasa Miyazaki

We derive an extension of the mode coupling theory for the liquid-glass transition to a class of models of confined fluids, where the fluid particles evolve in a disordered array of interaction sites. We find that the corresponding…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Krakoviack

As one increases the concentration of a colloidal suspension, the system exhibits a dramatic increase in viscosity. Structurally, the system resembles a liquid, yet motions within the suspension are slow enough that it can be considered…

Soft Condensed Matter · Physics 2012-05-22 Gary L. Hunter , Eric R. Weeks

We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the Mode Coupling Theory, and the predictions of glasses that we make refer to the…

Soft Condensed Matter · Physics 2009-10-31 E. Zaccarelli , G. Foffi , K. A. Dawson , F. Sciortino , P. Tartaglia

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane

Vitrification in colloidal systems typically occurs at high densities driven by sharply varying, short-ranged interactions. The possibility of glassy behavior arising from smoothly varying, long-ranged particle interactions has received…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Stefan Andreev , Francesco Sciortino , David R. Reichman

Dynamically triangulated surface model is found to undergo a first-order crumpling transition between the smooth phase and a crumpled phase. Triangulated spheres are divided into compartmentalized domains, whose boundary bonds remain…

Statistical Mechanics · Physics 2007-05-23 H. Koibuchi

We conduct a numerical study of the dynamic behavior of a dense hard sphere fluid by deriving and integrating a set of Langevin equations. The statics of the system is described by a free energy functional of the Ramakrishnan-Yussouff form.…

Condensed Matter · Physics 2009-10-22 Lisa M. Lust , Oriol T. Valls , Chandan Dasgupta

The statistical mechanics of phase transitions in dense systems of polydisperse particles presents distinctive challenges to computer simulation and analytical theory alike. The core difficulty, namely dealing correctly with particle size…

Soft Condensed Matter · Physics 2013-09-03 Nigel B. Wilding , Peter Sollich

We show that in the equilibrium phase of glass-forming hard-sphere fluids in three dimensions, the static length scales tentatively associated with the dynamical slowdown and the dynamical length characterizing spatial heterogeneities in…

Disordered Systems and Neural Networks · Physics 2013-04-16 Patrick Charbonneau , Gilles Tarjus

One of the most controversial hypotheses for explaining the heterogeneous dynamics of glasses postulates the temporary coexistence of two phases characterized by a high and by a low diffusivity. In this scenario, two phases with different…

Soft Condensed Matter · Physics 2015-07-16 R. Pastore , A. Coniglio , M. Pica Ciamarra

We introduce a family of glassy models having a parameter, playing the role of an interaction range, that may be varied continuously to go from a system of particles in d dimensions to a mean-field version of it. The mean-field limit is…

Statistical Mechanics · Physics 2015-05-27 Romain Mari , Jorge Kurchan

We review the physics of jamming from the theoretical, experimental and numerical perspectives. We summarize the mean-field theory of jamming and the marginally stable solid phase, with particular emphasis on the connection with the Replica…

Soft Condensed Matter · Physics 2022-09-08 Francesco Arceri , Eric I. Corwin , Corey S. O'Hern

We present dynamic density functional theory (DDFT) incorporating general inhomogeneous, incompressible, time dependent background flows and inertia, describing externally driven passive colloidal systems out of equilibrium. We start by…

Soft Condensed Matter · Physics 2024-09-11 Rory D. Mills-Williams , Benjamin D. Goddard , Andrew J. Archer

Performing light scattering experiments we show that introducing short-ranged attraction to a colloidal suspension of nearly hard spheres by addition of free polymer produces new glass transition phenomena. We observe a dramatic…

Soft Condensed Matter · Physics 2009-11-07 Thomas Eckert , Eckhard Bartsch

Understanding the dynamics of soft colloids, such as star polymers, dendrimers, and microgels, is of scientific and practical importance. It is known that the excluded volume effect plays a key role in colloidal dynamics. Here, we propose a…

Soft Condensed Matter · Physics 2019-09-17 Zhe Wang , Antonio Faraone , Panchao Yin , Lionel Porcar , Yun Liu , Changwoo Do , Kunlun Hong , Wei-Ren Chen

We show that the slowing of the dynamics in simulations of several model glass-forming liquids is equivalent to the hard-sphere glass transition in the low-pressure limit. In this limit, we find universal behavior of the relaxation time by…

Soft Condensed Matter · Physics 2009-12-17 Ning Xu , Thomas K. Haxton , Andrea J. Liu , Sidney R. Nagel

The formulation of the mean-field, infinite-dimensional solution of hard sphere glasses is a significant milestone for theoretical physics. How relevant this description might be for understanding low-dimensional glass-forming liquids,…

Statistical Mechanics · Physics 2022-05-03 Patrick Charbonneau , Yi Hu , Joyjit Kundu , Peter K. Morse

We investigate mixing effects on the glass state of binary colloidal hard-sphere-like mixtures with large size asymmetry, at a constant volume fraction phi = 0.61. The structure, dynamics and viscoelastic response as a function of mixing…

Soft Condensed Matter · Physics 2015-06-12 Tatjana Sentjabrskaja , Donald Guu , M Paul Lettinga , Stefan U Egelhaaf , Marco Laurati

The jamming scenario of disordered media, formulated about 10 years ago, has in recent years been advanced by analyzing model systems of granular media. This has led to various new concepts that are increasingly being explored in in a…

Soft Condensed Matter · Physics 2011-01-28 Andrea J. Liu , Sidney R. Nagel , Wim van Saarloos , Matthieu Wyart