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We provide a theoretical perspective on the glass transition in molecular liquids at thermal equilibrium, on the spatially heterogeneous and aging dynamics of disordered materials, and on the rheology of soft glassy materials. We start with…

Statistical Mechanics · Physics 2011-06-22 Ludovic Berthier , Giulio Biroli

We study theoretically the role of ageing in the rheology of soft materials. We define several generalized rheological response functions suited to ageing samples (in which time translation invariance is lost). These are then used to study…

Soft Condensed Matter · Physics 2007-05-23 S. M. Fielding , P. Sollich , M. E. Cates

The Soft Glassy Rheology (SGR) model is a mesoscopic framework which proved to be very successful in describing flow and deformation of various amorphous materials phenomenologically (e.g. pastes, slurries, foams etc). In this paper, we…

Soft Condensed Matter · Physics 2015-06-19 Ingo Fuereder , Patrick Ilg

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to the shared features of structural disorder and metastability. A generic model for the mesoscopic dynamics of ``soft glassy matter'' is…

Soft Condensed Matter · Physics 2009-10-28 Peter Sollich , Francois Lequeux , Pascal Hebraud , Michael E Cates

A quantitative application to real supercooled liquids of the mean-field scenario for the glass transition ($T_g$) is proposed. This scenario, based on an analogy with spin-glass models, suggests a unified picture of the mode-coupling…

Disordered Systems and Neural Networks · Physics 2009-10-31 V. Krakoviack , C. Alba-Simionesco

The advent of computational material sciences has paved the way for data-driven approaches for modeling and fabrication of materials. The prediction of properties like the glass-forming ability (GFA) by using the variation in alloy…

Materials Science · Physics 2020-05-19 Akash Ravi , Prakash P , Kailashnath N

We identify a link between the glass transition and percolation of mobile regions in configuration space. We find that many hallmarks of glassy dynamics, for example stretched-exponential response functions and a diverging structural…

Statistical Mechanics · Physics 2009-11-13 Gregg Lois , Jerzy Blawzdziewicz , Corey S. O'Hern

We review the field of the glass transition, glassy dynamics and aging from a statistical mechanics perspective. We give a brief introduction to the subject and explain the main phenomenology encountered in glassy systems, with a particular…

Statistical Mechanics · Physics 2020-10-12 Francesco Arceri , François P. Landes , Ludovic Berthier , Giulio Biroli

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

The high cooling rate needed for preparing the metallic glass (MG) makes the nonequilibrium nature of glass formation more prominent and requires a better quenching technique than ever before. Here, we formulate the cooling process in an…

Materials Science · Physics 2023-09-19 Jian Guo Wang

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

Disordered Systems and Neural Networks · Physics 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

The `soft glassy rheology' (SGR) model gives an appealing account of the flow of nonergodic soft materials in terms of the local yield dynamics of mesoscopic elements. Newtonian, power-law, and yield-stress fluid regimes arise on varying a…

Soft Condensed Matter · Physics 2008-12-18 S M Fielding , M E Cates , P Sollich

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

Soft Glassy Materials (SGM) consist in dense amorphous assemblies of colloidal particles of multiple shapes, elasticity, and interactions, which confer upon them solid-like properties at rest. They are ubiquitously encountered in modern…

Mechanical rejuvenation and over-aging of glasses is investigated through stochastic simulations of the soft glassy rheology (SGR) model. Strain- and stress-controlled deformation cycles for a wide range of loading conditions are analyzed…

Soft Condensed Matter · Physics 2009-11-13 Mya Warren , Joerg Rottler

In this paper we propose a simple mean-field "toy" model for the liquid-glass phase transition. This is the system of $N$ point-like particles confined in a finite volume of a $D$-dimensional space interacting via infinite-range oscillating…

Disordered Systems and Neural Networks · Physics 2007-05-23 Victor Dotsenko

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

In this letter we study a lattice gas system that undergoes a glassy transition. When we approach the glass transition we find both a divergence of a point to set correlation length and the vanishing of the thermodynamic potential. These…

Soft Condensed Matter · Physics 2009-11-13 Giorgio Parisi

When a liquid is cooled below its melting temperature it usually crystallizes. However, if the quenching rate is fast enough, it is possible that the system remains in a disordered state, progressively losing its fluidity upon further…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tullio Scopigno , Giancarlo Ruocco , Francesco Sette , Giulio Monaco
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