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Recent ideas based on the properties of assemblies of frictionless particles in mechanical equilibrium provide a perspective of amorphous systems different from that offered by the traditional approach originating in liquid theory. The…

Statistical Mechanics · Physics 2009-07-09 R. Mari , F. Krzakala , J. Kurchan

We propose that glass-forming liquids are intrinsically under the influences of both fluctuating interactions and random fields well-known in the field of spin systems. This is due to the frustration between the isotropic and anisotropic…

Disordered Systems and Neural Networks · Physics 2009-10-30 Hajime Tanaka

We present a numerical study of the statistical properties of the potential energy landscape of a simple model for strong network-forming liquids. The model is a system of spherical particles interacting through a square well potential,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Moreno , I. Saika-Voivod , E. Zaccarelli , E. La Nave , S. V. Buldyrev , P. Tartaglia , F. Sciortino

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of -relaxation activation barriers provided by the theory of glasses based on random first order transitions are compared with…

Soft Condensed Matter · Physics 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

Studying the series expansion of the thermodynamic potential for the hard-core N3 lattice-gas model, we provide evidence for a first-order phase-transition with a finite jump in density and entropy, in agreement with numerical transfer…

Statistical Mechanics · Physics 2010-08-27 E. Eisenberg , A. Baram

This theory combines a thermodynamic approach with a dynamic one in order to describe glass transition. Glass transition is regarded as an inaccessible second order phase transition, which is interrupted because of premature critical…

Statistical Mechanics · Physics 2015-06-04 Mikhail Vasin

We reformulate the interpretation of the mean-field glass transition scenario for finite dimensional systems, proposed by Wolynes and collaborators. This allows us to establish clearly a temperature dependent length xi* above which the…

Statistical Mechanics · Physics 2016-08-31 J. -P. Bouchaud , G. Biroli

We review several models of glassy systems where the randomness is self generated, i.e. already an infinitesimal amount of disorder is sufficient to cause a transition to a non-ergodic, glassy state. We discuss the application of the…

Disordered Systems and Neural Networks · Physics 2011-01-05 Maxim Dzero , Joerg Schmalian , Peter G. Wolynes

At sufficiently low temperatures, the configurational phase space of a large spin-glass system breaks into many separated domains, each of which is referred to as a macroscopic state. The system is able to visit all spin configurations of…

Disordered Systems and Neural Networks · Physics 2009-11-13 Haijun Zhou

The glass transition refers to the non-equilibrium process by which an equilibrium liquid is transformed to a non-equilibrium disordered solid, or vice versa. Associated response functions, such as heat capacities, are markedly different on…

Soft Condensed Matter · Physics 2013-03-26 Aaron S. Keys , Juan P. Garrahan , David Chandler

We propose a simple theory for the dynamics of model glass-forming fluids, which should be solvable using a mean-field-like approach. The theory is based on transparent physical assumptions, which can be tested in computer simulations. The…

Disordered Systems and Neural Networks · Physics 2017-10-18 Grzegorz Szamel

An alternative scenario for the glass transition based on the cooperative nature of nucleation processes and the role of entropic effects is presented. The new ingredient is to relate the dissipation during the relaxation process to the…

Statistical Mechanics · Physics 2007-05-23 Andrea Crisanti , Felix Ritort

Supercooled liquid state is a particularly interesting state in that it exhibits several unusual physical properties. To illustrate, the liquid displays a single peak relaxation frequency at high temperatures, which splits into $\alpha$…

Soft Condensed Matter · Physics 2024-12-17 Wenlong Jiang

We numerically investigate the thermodynamic properties of the glass state. As the object of our study, we employ a binary lattice gas model. Through Monte Carlo simulations, we find that this model actually experiences a glass transition.…

Disordered Systems and Neural Networks · Physics 2021-06-16 Miki Matsuo

We use the replica method to study the ideal glass transition of a liquid of identical Hard Spheres. We obtain estimates of the configurational entropy in the liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62, and of…

Soft Condensed Matter · Physics 2009-11-11 G. Parisi , F. Zamponi

We study the structural and thermodynamic properties of a model of point particles interacting by means of a Gaussian pair potential first introduced by Stillinger [Stillinger F H 1976 J. Chem. Phys. 65, 3968]. By employing integral…

Soft Condensed Matter · Physics 2009-10-31 A. Lang , C. N. Likos , M. Watzlawek , H. Lowen

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

Disordered Systems and Neural Networks · Physics 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

In this article, a theoretical description of the "ideal glass transition" is approached upon the adoption of a quaternion orientational order parameter. Unlike first-order phase transitions of liquids into crystalline solid states, glass…

Disordered Systems and Neural Networks · Physics 2020-06-25 Caroline S. Gorham , David E. Laughlin

The ground state of the quantum rotor model in two dimensions with random phase frustration is investigated. Extensive Monte Carlo simulations are performed on the corresponding (2+1)-dimensional classical model under the entropic sampling…

Superconductivity · Physics 2009-11-13 Lei-Han Tang , Qing-Hu Chen

The hydrodynamic equations for a model of a confined quasi-two-dimensional gas of smooth inelastic hard spheres are derived from the Boltzmann equation for the model, using a generalization of the Chapman-Enskog method. The heat and…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , V. Buzón , P. Maynar , M. I. García de Soria
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