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The exact mean-field theory for the simplest glass-forming system - the dense assembly of hard spheres in the large dimensional limit - predicts the existence of a Gardner phase. This transition is characterized by full replica symmetry…

Disordered Systems and Neural Networks · Physics 2022-06-17 Yuliang Jin , Hajime Yoshino

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 give evidence of a clear structural signature of the glass transition, in terms of a static correlation length with the same dependence on the system size which is typical of critical phenomena. Our approach is to introduce an external,…

Statistical Mechanics · Physics 2010-06-25 Majid Mosayebi , Emanuela Del Gado , Patrick Ilg , Hans Christian Ottinger

Using two extremely different models of glass formers in two and three dimensions we demonstrate how to encode the subtle changes in the geometric rearrangement of particles during the scenario of the glass transition. We construct a…

Statistical Mechanics · Physics 2015-05-13 Laurent Boue , Edan Lerner , Itamar Procaccia , Jacques Zylberg

We study via RG, numerics, exact bounds and qualitative arguments the equilibrium Gibbs measure of a particle in a $d$-dimensional gaussian random potential with {\it translationally invariant logarithmic} spatial correlations. We show that…

Condensed Matter · Physics 2014-10-13 David Carpentier , Pierre Le Doussal

The influence of strain amplitude, glass stability and thermal fluctuations on shear band formation and yielding transition is studied using molecular dynamics simulations. The model binary mixture is first gradually cooled below the glass…

Soft Condensed Matter · Physics 2020-08-03 Nikolai V. Priezjev

Key to resolving the scientific challenge of the glass transition is to understand the origin of the massive increase in viscosity of liquids cooled below their melting temperature (avoiding crystallisation). A number of competing and often…

Soft Condensed Matter · Physics 2018-09-12 C. Patrick Royall , Francesco Turci , Soichi Tatsumi , John Russo , Joshua Robinson

We develop a transferable machine learning model which predicts structural relaxation from amorphous supercooled liquid structures. The trained networks are able to predict dynamic heterogeneity across a broad range of temperatures and time…

Soft Condensed Matter · Physics 2024-02-27 Gerhard Jung , Giulio Biroli , Ludovic Berthier

We review a model--based rather than phenomenological approach to low--temperature anomalies in glasses. Specifically, we present a solvable model inspired by spin--glass theory that exhibits both, a glassy low--temperature phase, and a…

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Uta Horstmann

Dielectric measurements at very low temperature indicate that in a glass with the eutectic composition BaO-Al$_2$O$_3$-SiO$_2$ a phase transition occurs at 5.84 mK. Below that temperature small magnetic fields of the order of 10 $\mu$T…

Disordered Systems and Neural Networks · Physics 2009-10-30 P. Strehlow , C. Enss , S. Hunklinger

We propose a dynamical model for the secondary structure of DNA, which is based on the finite stacking enthalpies used in thermodynamics calculations. In this model, the two strands can separate and the bases are allowed to rotate…

Biological Physics · Physics 2016-08-16 Sahin Buyukdagli , Michaël Sanrey , Marc Joyeux

The occurrence of glass transition is believed to be associated to cooperative motion with a growing length scale with decreasing temperature. We provide a novel route to calculate the size of cooperatively rearranging regions CRR of…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Cangialosi , A. Alegria , J. Colmenero

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

A lattice model of spinless interacting electrons is used to formulate the Landau theory of the Fermi liquid to electron glass quantum phase transition. We demonstrate that the presence of additional random site energies does not affect the…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , V. Dobrosavljevic

We investigate the properties of the glass phase of a recently introduced spin glass model of soft spins subjected to an anharmonic quartic local potential, which serves as a model of low temperature molecular or soft glasses. We solve the…

Disordered Systems and Neural Networks · Physics 2025-11-11 Giampaolo Folena , Pierfrancesco Urbani

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

To investigate the consequences of component confinement such as at a glass transition and the well-known energy or enthalpy gap (between the glass and the perfect crystal at absolute zero, see text), we follow our previous approach [Phys.…

Statistical Mechanics · Physics 2015-03-17 P. D. Gujrati

Results from Monte Carlo simulations of the two-dimensional gauge glass supporting a zero-temperature transition are presented. A finite-size scaling analysis of the correlation length shows that the system does not exhibit spin-glass order…

Disordered Systems and Neural Networks · Physics 2007-05-23 Helmut G. Katzgraber

We study the quantum version of a lattice model whose classical counterpart captures the physics of structural glasses. We discuss the role of quantum fluctuations in such systems and in particular their interplay with the amorphous order…

Disordered Systems and Neural Networks · Physics 2015-03-17 Laura Foini , Guilhem Semerjian , Francesco Zamponi

In this study, the effect of alumina and modified alumina nanoparticles in a PMMA/alumina nanocomposite was investigated. To attain this goal, the glass transition behavior of poly methyl methacrylate (PMMA), PMMA/alumina and…

Materials Science · Physics 2018-03-02 Maryam Mohammadi , Jamal Davoodi , Mahdi Javanbakht , Hamidreza Rezaei
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