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Related papers: Thermodynamics of binary mixture glasses

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In this note we present numerical simulations of binary mixtures and we find indications for a thermodynamic transition to a glassy phase. We find that below the transition point the off equilibrium correlation functions and response…

Disordered Systems and Neural Networks · Physics 2009-10-30 Giorgio Parisi

The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the $p$-spin model. We derive the general phase diagram, and…

Condensed Matter · Physics 2015-06-25 Marc Mezard

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

We use the results derived in the framework of the replica approach to study the liquid-glass thermodynamic transition. The main results are rederived without using replicas and applied to the study of the Lennard-Jones binary mixture…

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

We propose a first principle computation of the thermodynamics of simple fragile glasses starting from the two body interatomic potential. A replica formulation translates this problem into that of a gas of interacting molecules, each…

Condensed Matter · Physics 2016-08-31 Marc Mezard , Giorgio Parisi

This paper gives an introduction and brief overview of some of our recent work on the equilibrium thermodynamics of glasses. We have focused onto first principle computations in simple fragile glasses, starting from the two body interatomic…

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

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

We propose a first principle computation of the equilibrium thermodynamics of simple fragile glasses starting from the two body interatomic potential. A replica formulation translates this problem into that of a gas of interacting…

Condensed Matter · Physics 2016-08-31 Marc Mezard , Giorgio Parisi

We clarify the relationship between freezing, melting, and the onset of glassy dynamics in a prototypical glass-forming mixture model. Our starting point is a precise operational definition of the onset of glassiness, as expressed by the…

Soft Condensed Matter · Physics 2025-02-20 Daniele Coslovich , Leonardo Galliano , Lorenzo Costigliola

We study the liquid-glass transition of the Lennard-Jones binary mixture introduced by Kob and Andersen from a thermodynamic point of view. By means of the replica approach, translating the problem in the study of a molecular liquid, we…

Disordered Systems and Neural Networks · Physics 2009-10-31 B. Coluzzi , G. Parisi , P. Verrocchio

The influence of repeated thermal cycling on mechanical properties, structural relaxation, and evolution of the potential energy in binary glasses is investigated using molecular dynamics simulations. We consider a binary mixture with…

Soft Condensed Matter · Physics 2019-08-16 Nikolai V. Priezjev

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 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

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 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 extend our statistical mechanical theory of the glass transition from examples consisting of point particles to molecular liquids with internal degrees of freedom. As before, the fundamental assertion is that super-cooled liquids are…

Statistical Mechanics · Physics 2012-07-31 Laurent Boué , H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

In this note I present a simplified version of the recent computation (Mezard and Parisi 1998, 1999) of the properties of glasses in the low temperature phase in the framework of the replica theory, using an extension of the tools used in…

Soft Condensed Matter · Physics 2017-02-08 Giorgio Parisi

The interplay of slow dynamics and thermodynamic features of dense liquids is studied by examinining how the glass transition changes depending on the presence or absence of Lennard-Jones-like attractions. Quite different thermodynamic…

Materials Science · Physics 2009-11-13 Th. Voigtmann

The interrelation of dynamic processes active on separated time-scales in glasses and viscous liquids is investigated using a model displaying two time-scale bifurcations both between fast and secondary relaxation and between secondary and…

Disordered Systems and Neural Networks · Physics 2015-03-19 Andrea Crisanti , Luca Leuzzi , Matteo Paoluzzi

We use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel
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