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When liquids are cooled rapidly, they bypass crystallization and instead enter a supercooled state and then a glass state. Previous studies have shown that the static structure factors of high-temperature liquids, supercooled liquids, and…

Soft Condensed Matter · Physics 2026-01-14 Bowen Duan , Ge Zhang

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

Statistical Mechanics · Physics 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

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 concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. While in glasses instantaneous configurations correspond to minima of the potential-energy hypersurface and all…

Disordered Systems and Neural Networks · Physics 2023-02-07 Stefano Mossa , Taras Bryk , Giancarlo Ruocco , Walter Schirmacher

The study of spin-glass dynamics, long considered the paradigmatic complex system, has reached important milestones. The availability of single crystals has allowed the experimental measurement of spin-glass coherence lengths of almost…

We extend our statistical mechanical theory of the glass transition from examples consisting of point particles to molecular liquids with internal degrees of freedom. As before, the fundamental assertion is that super-cooled liquids are…

Statistical Mechanics · Physics 2012-07-31 Laurent Boué , H. G. E. Hentschel , Valery Ilyin , Itamar Procaccia

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

The glassy dynamics of soft harmonic spheres is often mapped onto the dynamics of hard spheres by considering an effective diameter for the soft particles and therefore an effective packing fraction. While in this approach the thermal…

Soft Condensed Matter · Physics 2019-02-25 Moumita Maiti , Michael Schmiedeberg

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 couple the recently developed self-learning metabasin escape algorithm, which enables efficient exploration of the potential energy surface (PES), with shear deformation to elucidate strain-rate and temperature effects on the shear…

Soft Condensed Matter · Physics 2013-10-29 Penghui Cao , Harold S. Park , Xi Lin

Supercooled liquids and dense colloids exhibit anomalous behaviour known as "spatially heterogeneous dynamics" (SHD), which becomes increasingly pronounced with approach to the glass transition. Recently, SHD has been observed in confined…

Soft Condensed Matter · Physics 2010-12-23 Aaron S. Keys , Adam R. Abate , Sharon C. Glotzer , Douglas J. Durian

In supercooled liquids, at a temperature between the glass transition temperature Tg and the melting point Tm, thermodynamic properties remain continuous, while dynamic behavior exhibits anomalies. The origin of such thermodynamics-dynamic…

Soft Condensed Matter · Physics 2025-06-17 X. R. Tian , D. M. Zhang , B. Zhang , D. Y. Sun , X. G. Gong

Measuring, characterizing and modelling the slow dynamics of glassy soft matter is a great challenge, with an impact that ranges from industrial applications to fundamental issues in modern statistical physics, such as the glass transition…

Soft Condensed Matter · Physics 2009-11-11 Luca Cipelletti , Laurence Ramos

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

In order to describe the thermodynamics of the glassy systems it has been recently introduced an extra parameter also called effective temperature which generalizes the fluctuation-dissipation theorem (FDT) to systems off-equilibrium and…

Disordered Systems and Neural Networks · Physics 2015-06-24 Adan Garriga , Felix Ritort

The relationship between spatially heterogeneous dynamics (SHD) and jamming is studied in a glass-forming binary Lennard-Jones system via molecular dynamics simulations. It has been suggested that the probability distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naida Lacevic , Sharon C. Glotzer

Using a series of fast cooling protocols we have probed aging effects in the spin glass state as a function of temperature. Analyzing the logarithmic decay found at very long time scales within a simple phenomenological barrier model, leads…

Disordered Systems and Neural Networks · Physics 2011-06-21 G. G. Kenning , J. Bowen , P. Sibani , G. F. Rodriguez

Observations of glassy dynamics in experiments on confluent cellular tissue have inspired a wealth of computational and theoretical research to model their emergent collective behavior. Initial studies of the physical properties of several…

Soft Condensed Matter · Physics 2024-09-04 Helen S. Ansell , Chengling Li , Daniel M. Sussman

It is common practice to discuss the temperature effect on molecular dynamics of glass formers above the melting temperature in terms of the Arrhenius law. Using dielectric spectroscopy measurements of dc-conductivity and structural…

Materials Science · Physics 2018-04-26 Erik Thoms , Andrzej Grzybowski , Sebastian Pawlus , Marian Paluch

We develop a systematic expansion method of physical quantities for the SK model and the finite-dimensional $\pm J$ model of spin glasses in non-equilibrium states. The dynamical probability distribution function is derived from the master…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michiko Yamana , Hidetoshi Nishimori , Tadashi Kadowaki , D. Sherrington
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