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I review recent progress in understanding the arrest and flow behaviour of colloidal glasses, based on mode coupling theory (MCT) and related approaches. MCT has had notable recent successes in predicting the re-entrant arrest behaviour of…

Soft Condensed Matter · Physics 2009-11-07 M. E. Cates

In the context of the random first order transition theory we use an extended mode coupling theory of the glass transition that includes activated events to account for spatiotemporal structures in aging and rejuvenating glasses. We…

Disordered Systems and Neural Networks · Physics 2015-06-15 Apiwat Wisitsorasak , Peter G. Wolynes

By using Nuclear Magnetic Resonance and ac-susceptibility, the characteristic correlation times for the vortex dynamics, in an iron-based superconductor, have been derived. Upon cooling, the vortex dynamics displays a crossover consistent…

Superconductivity · Physics 2015-03-20 L. Bossoni , P. Carretta , M. Horvatić , M. Corti , A. Thaler , P. C. Canfield

The validity of mode coupling theory (MCT) is restricted by an uncontrolled factorization approximation of density correlations. The factorization can be delayed and ultimately avoided, however, by explicitly including higher order…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Kunimasa Miyazaki , David R. Reichman

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

Generalized mode-coupling theory (GMCT) constitutes a systematically correctable, first-principles theory to study the dynamics of supercooled liquids and the glass transition. It is a hierarchical framework that, through the incorporation…

Statistical Mechanics · Physics 2021-02-03 Chengjie Luo , Liesbeth M. C. Janssen

Within the mode-coupling theory for ideal glass transitions, an analysis for the correlation functions of glass-forming systems for states near higher-order glass-transition singularities is presented. It is shown that the solutions of the…

Soft Condensed Matter · Physics 2007-05-23 W. Gotze , M. Sperl

Large fluctuations of conductivity with time are observed in a low-mobility two-dimensional electron system in silicon at low electron densities $n_s$ and temperatures. A dramatic increase of the noise power ($\propto 1/f^{\alpha}$) as…

Strongly Correlated Electrons · Physics 2009-11-07 Snezana Bogdanovich , Dragana Popovic

Within the framework of mode-coupling theory, the glass-transition scenario is investigated for a system of particles interacting with a hard-core repulsion and an additional square-shoulder soft core at larger distances. The static…

Soft Condensed Matter · Physics 2011-01-11 Matthias Sperl

When a liquid is cooled below its melting temperature, if crystallization is avoided, it forms a glass. This phenomenon, called glass transition, is characterized by a marked increase of viscosity, about 14 orders of magnitude, in a narrow…

Disordered Systems and Neural Networks · Physics 2008-08-23 Simone Capaccioli , Giancarlo Ruocco , Francesco Zamponi

From first-principles approaches, we illustrate that the current-induced forces and the selection rule for inelastic effects are highly relevant to the current density in an asymmetric molecular junction. The curved flow of current…

Mesoscale and Nanoscale Physics · Physics 2011-06-10 Bailey C. Hsu , Allen Tseng , Yu-Chang Chen

Starting with a formally exact diagrammatic kinetic theory for the equilibrium correlation functions of particle density and current fluctuations for a monatomic liquid, we develop a theory for high density liquids whose interatomic…

Statistical Mechanics · Physics 2015-06-17 Kevin R. Pilkiewicz , Hans C. Andersen

The emergence of glassy behavior of electrons is investigated for systems close to the disorder and/or interaction-driven metal-insulator transitions. Our results indicate that Anderson localization effects strongly stabilize such glassy…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , D. Tanaskovic , A. A. Pastor

We have investigated the nature of the dynamical behaviour in low autocorrelation binary sequences. These models do have a glass transition $T_G$ of a purely dynamical nature. Above the glass transition the dynamics is not fully ergodic and…

Condensed Matter · Physics 2009-10-22 Gabriele Migliorini , Felix Ritort

We investigate the displacements of a probe particle inside a glass, when a strong external force is applied to the probe (active nonlinear microrheology). Calculations within mode coupling theory are presented for glasses of hard spheres…

Soft Condensed Matter · Physics 2012-07-09 Christian J. Harrer , Antonio M. Puertas , Thomas Voigtmann , Matthias Fuchs

Experiments and theory have shown that cell monolayers and epithelial tissues exhibit solid-liquid and glass-liquid transitions. These transitions are biologically relevant to our understanding of embryonic development, wound healing, and…

Soft Condensed Matter · Physics 2020-07-22 Benjamin Loewe , Michael Chiang , Davide Marenduzzo , M. Cristina Marchetti

Glasses acquire their solid-like properties by cooling from the supercooled liquid via a continuous transition known as the glass transition. Recent research on soft glasses indicates that besides temperature, another route to liquify…

Soft Condensed Matter · Physics 2015-07-17 D. V. Denisov , M. T. Dang , B. Struth , A. Zaccone , G. H. Wegdam , P. Schall

We introduce a novel exclusion process with a simple local kinetic constraint that leads to a remarkable transition between a homogeneous phase with short-range correlations and a clustered phase with long-range correlations and spontaneous…

Statistical Mechanics · Physics 2026-05-26 Stefan Großkinsky , Gunter Schütz , Ali Zahra

Understanding glasses and the glass transition requires comprehending the nature of the crossover from the ergodic (or equilibrium) regime, in which the stationary properties of the system have no history dependence, to the mysterious glass…

We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic,…

Statistical Mechanics · Physics 2020-01-08 Wojciech De Roeck , François Huveneers
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