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Related papers: Dynamical Study of Polydisperse Hard-Sphere System

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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

We perform extensive numerical simulations of a paradigmatic model glass former, the hard-sphere fluid with 10% polydispersity. We sample from the ensemble of trajectories with fixed observation time, whereby single trajectories are…

Statistical Mechanics · Physics 2020-01-28 Matteo Campo , Thomas Speck

We use event driven simulations to analyze glassy dynamics as a function of density and energy dissipation in a two-dimensional bidisperse granular fluid under stationary conditions. Clear signatures of a glass transition are identified,…

Statistical Mechanics · Physics 2011-10-05 Iraj Gholami , Andrea Fiege , Annette Zippelius

The reformulation of the mode-coupling theory (MCT) of the liquid-glass transition which incorporates the element of metastability is applied to the hard-sphere system. It is shown that the glass transition in this system is not a sharp one…

Condensed Matter · Physics 2016-08-31 Joonhyun Yeo

Glasses are out-of-equilibrium systems aging under the crystallization threat. During ordinary glass formation, the atomic diffusion slows down rendering its experimental investigation impractically long, to the extent that a timescale…

Disordered Systems and Neural Networks · Physics 2015-08-28 E. A. A. Pogna , C. Rodríguez-Tinoco , G. Cerullo , C. Ferrante , J. Rodríguez-Viejo , T. Scopigno

Hard spheres with an attraction of range a tenth to a hundredth of the sphere diameter are constrained to remain fluid even at densities when monodisperse particles at equilibrium would have crystallised, in order to compare with…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

This study introduces a modeling approach aimed at elucidating the pivotal role of symmetry in phase transitions, focusing specifically on the isotropic-nematic (I-N) transition characteristic of liquid crystal systems. By leveraging…

Soft Condensed Matter · Physics 2025-01-22 Szymon Starzonek , Aleš Iglič , Aleksandra Drozd-Rzoska , Sylwester J. Rzoska

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

Soft Condensed Matter · Physics 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

Apparent critical phenomena, typically indicated by growing correlation lengths and dynamical slowing-down, are ubiquitous in non-equilibrium systems such as supercooled liquids, amorphous solids, active matter and spin glasses. It is often…

Soft Condensed Matter · Physics 2021-04-07 Huaping Li , Yuliang Jin , Ying Jiang , Jeff Z. Y. Chen

We use replica exchange Monte-Carlo simulations to measure the equilibrium equation of state of the disordered fluid state for a binary hard sphere mixture up to very large densities where standard Monte-Carlo simulations do not easily…

Statistical Mechanics · Physics 2011-02-04 Gerardo Odriozola , Ludovic Berthier

The glass transition, extensively studied in dense fluids, polymers, or colloids, corresponds to a dramatic evolution of equilibrium transport coefficients upon a modest change of control parameter, like temperature or pressure. A similar…

Statistical Mechanics · Physics 2013-05-06 Ludovic Berthier , Jorge Kurchan

We investigate the dynamics of a driven system of dissipative hard spheres in the framework of mode-coupling theory. The dissipation is modeled by normal restitution, and driving is applied to individual particles in the bulk. In such a…

Soft Condensed Matter · Physics 2010-06-29 W. Till Kranz , Matthias Sperl , Annette Zippelius

We use polydispersity in size as a control parameter to explore certain aspects of melting and freezing transitions in a system of Lennard-Jones spheres. Both analytical theory and computer simulations are employed to establish a…

Soft Condensed Matter · Physics 2014-02-28 Sarmistha Sarkar , Rajib Biswas , Partha Pratim Ray , Biman Bagchi

Motivated by the mean field prediction of a Gardner phase transition between a "normal glass" and a "marginally stable glass", we investigate the off-equilibrium dynamics of three-dimensional polydisperse hard spheres, used as a model for…

Soft Condensed Matter · Physics 2018-06-28 Beatriz Seoane , Francesco Zamponi

A thermodynamic approach to derive the liquid-glass transition line in the reduced temperature vs reduced density plane for a monatomic Lennard-Jones fluid is presented. The approach makes use of a recent reformulation of the classical…

Statistical Mechanics · Physics 2009-11-07 M. Robles , M. López de Haro

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that…

Soft Condensed Matter · Physics 2019-08-14 Richard Bonneville

We investigate the effect of metastable gas-liquid (G-L) separation on crystal growth in a system of either monodisperse or slightly size-polydisperse square well particles, using a simulation setup that allows us to focus on the growth of…

Soft Condensed Matter · Physics 2015-03-13 John J. Williamson , R. Mike L. Evans

Numerical simulations by Tanaka and coworkers indicate that glass forming systems of moderately polydisperse hard-core particles, in both two and three dimensions, exhibit diverging correlation lengths. These correlations are described by…

Statistical Mechanics · Physics 2013-06-21 J. S. Langer

The glass transition can simply be viewed as the point at which the viscosity of a structurally disordered liquid reaches 10^{13} Poise [1]. This definition is operational but it sidesteps fundamental controversies about the glass: Is the…

Statistical Mechanics · Physics 2017-05-10 Ludger Santen , Werner Krauth