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This key-issues review is a plea for a new focus on simpler and more realistic models of glass-forming fluids. It seems to me that we have too often been led astray by sophisticated mathematical models that beautifully capture some of the…

Statistical Mechanics · Physics 2015-06-17 J. S. Langer

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 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

Metallic glasses are formed by splat-cooling; this ensures that atomic motions are arrested before the latent heat of solidification can be extracted. Glass is defined as a higher disorder metastable state with arrested kinetics. Arrested…

Statistical Mechanics · Physics 2012-07-31 Praveen Chaddah , Alok Banerjee

Glass transition where viscosity of liquids increases dramatically upon decrease of temperature without any major change in structural properties, remains one of the most challenging problems in condensed matter physics (Cavagna, 2009;…

Statistical Mechanics · Physics 2014-05-29 Smarajit Karmakar , Giorgio Parisi

Glass phases can be stabilized by quenched disorders, as in most spin-glass materials, or self-generated through kinetic freezing in disorder-free systems. A canonical example of the latter is structural glasses, which have been extensively…

Disordered Systems and Neural Networks · Physics 2024-10-17 Lingyu Yang , Gia-Wei Chern

Of the three basic states of matter, liquid is perhaps the most complex. While its flow properties are described by fluid mechanics, its thermodynamic properties are often neglected, and for many years it was widely believed that a general…

Soft Condensed Matter · Physics 2023-08-31 K. Trachenko

We assess the validity of "microscopic" approaches of glass-forming liquids based on the sole k nowledge of the static pair density correlations. To do so we apply them to a benchmark provided by two liquid models that share very similar…

Statistical Mechanics · Physics 2011-10-10 Ludovic Berthier , Gilles Tarjus

Glass, a ubiquitous state of matter like a frozen liquid, is a seminal issue across fundamental and applied sciences and has long been investigated in the framework of classical mechanics. A challenge in glass physics is the exploration of…

Strongly Correlated Electrons · Physics 2022-05-24 Hideaki Murase , Shunto Arai , Takuro Sato , Kazuya Miyagawa , Hatsumi Mori , Tatsuo Hasegawa , Kazushi Kanoda

Glasses and disordered materials are known to display anomalous features in the density of states, in the specific heat and in thermal transport. Nevertheless, in recent years, the question whether these properties are really anomalous (and…

Disordered Systems and Neural Networks · Physics 2021-03-26 Matteo Baggioli , Alessio Zaccone

From the dynamics of a broad class of classical mean-field glass models one may obtain a quantum model with finite zero-temperature entropy, a quantum transition at zero temperature, and a time-reparametrization (quasi-)invariance in the…

High Energy Physics - Theory · Physics 2019-12-05 Davide Facoetti , Giulio Biroli , Jorge Kurchan , David R. Reichman

We introduce a new toy model for the study of glasses: the hard-matrix model (HMM). This may be viewed as a single particle moving on $\mathrm{SO}(N)$, where there is a potential proportional to the 1-norm of the matrix. The ground states…

Statistical Mechanics · Physics 2021-08-03 J. Dong , V. Elser , G. Gyawali , K. Y. Jee , J. Kent-Dobias , A. Mandaiya , M. Renz , Y. Su

Glass is a liquid that has lost its ability to flow. Why this particular substance undergoes its dramatic slowing down in kinetics while remaining barely distinguishable in structure from the fluid state upon cooling constitutes the central…

Soft Condensed Matter · Physics 2018-05-23 Bo Li , Xiuming Xiao , Shuxia Wang , Weijia Wen , Ziren Wang

The high energy limit of QCD is controlled by the small-$x$ part of a hadron wavefunction. I argue that this part is universal to all hadrons and is composed of a new form of matter: a Colored Glass Condensate. This matter is weakly…

High Energy Physics - Phenomenology · Physics 2017-08-23 Edmond Iancu

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

In a recent manuscript, the discovery of a new phenomenon in glasses has been reported: {\it glass paramagnetism}, that is the intrinsic magnetisation developed by a substance that has failed to crystallise in a temperature quench when…

Disordered Systems and Neural Networks · Physics 2021-11-25 Giancarlo Jug , Sandro Recchia

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

The glass transition is considered as a phase transition in the system of topologically protected excitations in matter structure. The critical behavior of the system is considered both in statics and dynamics cases. It is shown in the…

Statistical Mechanics · Physics 2022-04-20 Mikail Vasin

The existence of a constant density of two-level systems (TLS) was proposed as the basis of some intriguing universal aspects of glasses at ultra-low temperatures. Here we ask whether their existence is necessary for explaining the…

Statistical Mechanics · Physics 2021-02-26 Avanish Kumar , Itamar Procaccia , Murari Singh

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu
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