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We present a theory for the dynamics of a binary mixture with particle size swaps. The theory is based on a factorization approximation similar to that employed in the mode-coupling theory of glassy dynamics. The theory shows that, in…

Soft Condensed Matter · Physics 2018-11-14 Grzegorz Szamel

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

We study by molecular dynamics computer simulation a binary soft-sphere mixture that shows a pronounced decoupling of the species' long-time dynamics. Anomalous, power-law-like diffusion of small particles arises, that can be understood as…

Statistical Mechanics · Physics 2013-05-29 Th. Voigtmann , J. Horbach

We study the glass transition by exploring a broad class of kinetic rules that can significantly modify the normal dynamics of super-cooled liquids, while maintaining thermal equilibrium. Beyond the usual dynamics of liquids, this class…

Soft Condensed Matter · Physics 2024-06-14 Cristina Gavazzoni , Carolina Brito , Matthieu Wyart

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

We study the glass transition of binary mixtures of dipolar particles in two dimensions within the framework of mode-coupling theory, focusing in particular on the influence of composition changes. In a first step, we demonstrate that the…

Soft Condensed Matter · Physics 2011-02-09 David Hajnal , Martin Oettel , Rolf Schilling

We study the influence of composition changes on the glass transition of binary hard disc and hard sphere mixtures in the framework of mode coupling theory. We derive a general expression for the slope of a glass transition line. Applied to…

Soft Condensed Matter · Physics 2010-09-15 D. Hajnal , J. M. Brader , R. Schilling

Glassy soft matter is often continuously polydisperse, in which the sizes or various properties of the constituent particles are distributed continuously. However, most of the microscopic theories of the glass transition focus on the…

Soft Condensed Matter · Physics 2024-05-14 Hyonggi Kim , Atsushi Ikeda

We simulate binary soft disk systems in two dimensions, and investigate how the dynamics slow as the area fraction is increased toward the glass transition. The "fragility" quantifies how sensitively the relaxation time scale depends on the…

Soft Condensed Matter · Physics 2010-10-12 Rei Kurita , Eric R. Weeks

We propose a method to study quantitatively the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of…

Condensed Matter · Physics 2009-10-28 Marc Mezard , Giorgio Parisi

The glass transition of mesoscopic charged particles in two-dimensional confinement is studied by mode-coupling theory. We consider two types of effective interactions between the particles, corresponding to two different models for the…

Statistical Mechanics · Physics 2015-10-06 Anoosheh Yazdi , Marco Heinen , Alexei Ivlev , Hartmut Löwen , Matthias Sperl

The swap Monte Carlo algorithm combines the translational motion with the exchange of particle species, and is unprecedentedly efficient for some models of glass former. In order to clarify the physics underlying this acceleration, we study…

Disordered Systems and Neural Networks · Physics 2017-12-29 Harukuni Ikeda , Francesco Zamponi , Atsushi Ikeda

We compute the thermodynamic properties of the glass phase in a binary mixture of soft spheres. Our approach is a generalization to mixtures of the replica strategy, recently proposed by Mezard and Parisi, providing a first principle…

Condensed Matter · Physics 2009-10-31 Barbara Coluzzi , Marc Mezard , Giorgio Parisi , Paolo Verrocchio

We report extensive molecular-dynamics simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages,for packing fractions up to 0.605 and over a characteristic time interval spanning…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , W. Gotze , F. Sciortino , P. Tartaglia , Th. Voigtmann

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

We combine population annealing Monte Carlo and several thermodynamic integration techniques to measure equilibrium vibrational and configurational entropies in the metastable fluid regime beyond the dynamic glass transition. We obtain…

Statistical Mechanics · Physics 2021-04-08 Christopher Amey , Jonathan Machta

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

We use molecular dynamics to investigate the glass transition occurring at large volume fraction, phi, and low temperature, T, in assemblies of soft repulsive particles. We find that equilibrium dynamics in the (phi, T) plane obey a form of…

Statistical Mechanics · Physics 2009-04-10 Ludovic Berthier , Thomas A. Witten

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear…

Statistical Mechanics · Physics 2013-02-25 W. T. Kranz , M. Sperl , A. Zippelius

In this talk, after a short phenomenological introduction on glasses, I will describe some recent progresses that have been done in glasses using the replica method in the definition and in the evaluation of the configurational entropy (or…

Disordered Systems and Neural Networks · Physics 2009-10-31 Giorgio Parisi
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