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We give a brief introduction to the mode-coupling theory of the glass transition, a theory which was proposed a while ago to describe the dynamics of supercooled liquids. After presenting the basic equations of the theory, we review some of…

统计力学 · 物理学 2008-02-03 W. Kob

A toy model is proposed which incorporates the reversible mode coupling mechanism responsible for ergodic-nonergodic transition with trivial Hamiltonian in the mode coupling theory (MCT) of structural glass transition. The model can be…

统计力学 · 物理学 2009-10-31 Kyozi Kawasaki , Bongsoo Kim

Simple active models of matter recapitulate complex biological phenomena. The out-of-equilibrium nature of these models, however, often makes them beyond the reach of first-principle descriptions. This limitation is particularly perplexing…

软凝聚态物质 · 物理学 2025-11-07 Mingyuan Zheng , Dmytro Khomenko , Patrick Charbonneau

An analytical approach, which develops the gauge model of the glass transition phenomenon, is suggested. It is based on the quantum field theory and critical dynamics methods. The suggested mechanism of glass transition is based on the…

统计力学 · 物理学 2011-05-12 Mikhail Vasin

If quenched fast enough, a liquid is able to avoid crystallization and will remain in a metastable supercooled state down to the glass transition, with an important increase in viscosity upon further cooling. There are important differences…

无序系统与神经网络 · 物理学 2016-06-01 C. Yildirim , J. -Y. Raty , M. Micoulaut

We review the Random First Order Transition Theory of the glass transition, emphasizing the experimental tests of the theory. Many distinct phenomena are quantitatively predicted or explained by the theory, both above and below the glass…

无序系统与神经网络 · 物理学 2015-06-25 Vassiliy Lubchenko , P. G. Wolynes

In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is…

统计力学 · 物理学 2015-06-23 Mikhail Vasin

In this work, we study the nature of transitions between inherent structures of a two-dimensional model supercooled liquid. We demonstrate that these transitions occur predominately along a small number of directions on the energy…

统计力学 · 物理学 2013-03-12 Glen M. Hocky , David R. Reichman

We extend our previous analysis of the toy model that mimics the mode coupling theory of supercooled liquids and glass transitions to the out of equilibrium dynamics. We derive a self-consistent set of equations for correlation and response…

统计力学 · 物理学 2015-06-24 Kyozi Kawasaki , Bongsoo Kim

Glass-forming liquids have been extensively studied in recent decades, but there is still no theory that fully describes these systems, and the diversity of treatments is in itself a barrier to understanding. Here we introduce a new simple…

无序系统与神经网络 · 物理学 2011-03-28 Davide Cellai , Andrzej Z. Fima , Aonghus Lawlor , Kenneth A. Dawson

As in the preceding paper we aim at identifying the effective theory that describes the fluctuations of the local overlap with an equilibrium reference configuration close to a putative thermodynamic glass transition. We focus here on the…

统计力学 · 物理学 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

We present a model for glassy dynamics in supercooled liquid mixtures. Given the relaxation behavior of individual supercooled liquids, the model predicts the relaxation times of their mixtures as temperature is decreased. The model is…

统计力学 · 物理学 2019-09-11 Shachi Katira , Juan P. Garrahan , Kranthi K. Mandadapu

Fluctuating pairwise interactions are understood to drive fluid-like states in dense biological systems. These states find a broad range of functionalities, such as directing growth during morphogenesis and forming aggregates with…

统计力学 · 物理学 2025-09-10 Emir Sezik , Henry Alston , Thibault Bertrand

This paper reviews recent Monte Carlo simulation studies of the glassy behavior in thin polymer films. The simulations employ a version of the bond-fluctuation lattice model, in which the glass transition is driven by the competition…

软凝聚态物质 · 物理学 2007-05-23 C. Mischler , J. Baschnagel , K. Binder

In deep supercooled liquids, particles get trapped in transient cages made up of neighbouring particles. Here we define a cage from a geometrical quantity, free volume, such that the free volume of a particle is the cage volume. First we…

软凝聚态物质 · 物理学 2017-01-25 Moumita Maiti

In this note we revisit the Kovacs effect, concerning the way in which the volume of a glass-forming liquid, which has been driven out of equilibrium, changes with time while the system evolves towards a metastable state. The theoret- ical…

软凝聚态物质 · 物理学 2017-11-16 F. Aliotta , R. C. Ponterio , F. Saija , P. V. Giaquinta

In this paper we expand our previous investigation of a quantum particle subject to the action of a random potential plus a fixed harmonic potential at a finite temperature T. In the classical limit the system reduces to a well-known…

凝聚态物理 · 物理学 2009-10-28 Yadin Y. Goldschmidt

For a deeply supercooled liquid just above its glass transition temperature, we present a simple thermodynamic model, where the deeply supercooled liquid is assumed to be a mixture of solid-like and liquid-like micro regions. The mole…

统计力学 · 物理学 2012-10-17 Hiroshi Matsuoka

A theoretical treatment of deeply supercooled liquids is difficult because their properties emerge from spatial inhomogeneities that are self-induced, transient, and nanoscopic. I use computer simulations to analyse self-induced static and…

统计力学 · 物理学 2021-08-24 Ludovic Berthier

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

软凝聚态物质 · 物理学 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling
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