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The shear-transformation-zone (STZ) theory of plastic deformation in glass-forming materials is reformulated in light of recent progress in understanding the roles played the effective disorder temperature and entropy flow in nonequilibrium…

Materials Science · Physics 2009-11-13 J. S. Langer

We present a first-principles formalism for studying dynamical heterogeneities in glass forming liquids. Based on the Non-Equilibrium Self-Consistent Generalized Langevin Equation theory, we were able to describe the time-dependent local…

Soft Condensed Matter · Physics 2022-04-06 J. Lira-Escobedo , J. R. Velez-Cordero , Pedro E. Ramírez-González

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

The mean-square displacement (MSD) was measured by neutron scattering at various temperatures and pressures for a number of molecular glass-forming liquids. The MSD is invariant along the glass-transition line at the pressure studied, thus…

Soft Condensed Matter · Physics 2012-03-27 K. Niss , C. Dalle-Ferrier , B. Frick , D. Russo , J. Dyre , C. Alba-Simionesco

The square lattice with central forces between nearest neighbors is isostatic with a subextensive number of floppy modes. It can be made rigid by the random addition of next-nearest neighbor bonds. This constitutes a rigidity percolation…

Statistical Mechanics · Physics 2011-12-06 Wouter G. Ellenbroek , Xiaoming Mao

Over the last decade computer simulations have had an increasing role in shedding light on difficult statistical physical phenomena and in particular on the ubiquitous problem of the glass transition. Here in a wide variety of materials the…

Statistical Mechanics · Physics 2015-06-04 Smarajit Karmakar , Itamar Procaccia

Because of the negative inclination of the solid-liquid phase separation line in water, ice Ih melts on compression. On further increase in pressure the liquid water transforms into a high density metastable glassy state, characterized by a…

Soft Condensed Matter · Physics 2021-04-22 Saumyak Mukherjee , Biman Bagchi

We study a mass transport model, where spherical particles diffusing on a ring can stochastically exchange volume $v$, with the constraint of a fixed total volume $V=\sum_{i=1}^N v_i$, $N$ being the total number of particles. The particles,…

Statistical Mechanics · Physics 2015-05-14 M. R. Evans , S. N. Majumdar , I. Pagonabarraga , E. Trizac

We clarify the relation between the ergodicity breaking transition predicted by mode-coupling theory and the so-called dynamic transition predicted by the static replica approach. Following Franz and Parisi [Phys. Rev. Lett. 79, 2486…

Statistical Mechanics · Physics 2015-05-18 Grzegorz Szamel

This perspective article reviews arguments that glass-forming liquids are different from those of standard liquid-state theory, which typically have a viscosity in the mPa$\cdot$s range and relaxation times of order picoseconds. These…

Soft Condensed Matter · Physics 2024-02-13 Jeppe C. Dyre

When liquids are classified using Tg -scaled Arrhenius plots of relaxation times (or relative rates of entropy increase above Tg) across a "strong-fragile" spectrum of behaviors, the "strong" liquids have always appeared rather…

Soft Condensed Matter · Physics 2015-06-12 C. Austen Angell , Mahin Hemmati

We explore the glassy dynamics of soft colloids using microgels and charged particles interacting by steric and screened Coulomb interactions, respectively. In the supercooled regime, the structural relaxation time $\tau_\alpha$ of both…

Recent numerical simulations indicate that several different equilibrium glass transitions may be characterized by diverging correlation lengths, and that these divergences are described by a non-mean-field, Ising-like, critical exponent. I…

Statistical Mechanics · Physics 2012-09-26 J. S. Langer

The dramatic slowdown of dynamics in supercooled liquids approaching the glass transition remains one of the central unresolved problems in condensed matter physics. We review approaches that attribute this slowdown to growing thermodynamic…

Soft Condensed Matter · Physics 2026-03-06 Massimo Pica Ciamarra , Jeppe C. Dyre , Edan Lerner , Matthieu Wyart

The growth of correlation lengths in equilibrium glass-forming liquids near the glass transition is considered a critical finding in the quest to understand the physics of glass formation. These understandings helped us understand various…

Soft Condensed Matter · Physics 2023-08-16 Anoop Mutneja , Smarajit Karmakar

Metallic glasses possess outstanding mechanical and physical properties, making them promising candidates for advanced structural and functional applications; however, the lack of understanding and control over their glass transition and…

Soft Condensed Matter · Physics 2025-06-04 Wei Chu , Zheng Wang , Christopher Ness , Konrad Samwer , Alessio Zaccone , Lina Hu

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 develop a real space renormalisation group analysis of disordered models of glasses, in particular of the spin models at the origin of the Random First Order Transition theory. We find three fixed points respectively associated to the…

Disordered Systems and Neural Networks · Physics 2017-07-05 Maria Chiara Angelini , Giulio Biroli

We study the dynamics of a one-dimensional fluid of orientable hard rectangles with a non-coarse-grained microscopic mechanism of facilitation. The length occupied by a rectangle depends on its orientation, which is coupled to an external…

Disordered Systems and Neural Networks · Physics 2011-12-09 Jeferson J. Arenzon , Deepak Dhar , Ronald Dickman

The Random First Order Transition (RFOT) theory of glasses provides a unified framework for explaining the observed correlations of the kinetic and thermodynamic behaviors of glass-forming liquids having a wide variety of chemical…

Soft Condensed Matter · Physics 2025-07-29 M. H. Brown , P. G. Wolynes
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