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We numerically obtain the first quantitative demonstration that development of spatial correlations of mobility as temperature is lowered is responsible for the ``decoupling'' of transport properties of supercooled liquids. This result…

Statistical Mechanics · Physics 2009-11-10 Ludovic Berthier

The dramatic slowdown of glass-forming liquids has been variously linked to increasing dynamic and static correlation lengths. Yet, empirical evidence is insufficient to decide among competing theories. The random first order theory (RFOT)…

Disordered Systems and Neural Networks · Physics 2010-02-25 C. Cammarota , A. Cavagna , G. Gradenigo , T. S. Grigera , P. Verrocchio

Mean-field theories of the glass transition predict a phase transition to a dynamically arrested state, yet no such transition is observed in experiments or simulations of finite-dimensional systems. We resolve this long-standing…

Soft Condensed Matter · Physics 2025-12-16 Corentin C. L. Laudicina , Liesbeth M. C. Janssen , Grzegorz Szamel

The topic of the glass transition gives rise to a a wide diversity of views. It is, accordingly, characterized by a lack of agreement on which would be the most profitable theoretical perspective. In this chapter, I provide some elements…

Statistical Mechanics · Physics 2010-10-15 Gilles Tarjus

Physical aging is one of the non-equilibrium phenomena where physical properties change over time due to structural relaxation. Aging in spin glass systems has been explained by a trap model on the temperature-independent energy landscape.…

Statistical Mechanics · Physics 2025-09-08 Ayata Ueno , Tomoko Mizuguchi , Takashi Odagaki

We analyze the ways in which the random first order phase transition (RFOT) of the glass transition differs from the well-studied regular first order and second order (or continuous) phase transitions. Just as is the case in the latter two…

Statistical Mechanics · Physics 2024-09-23 T. R. Kirkpatrick , D. Thirumalai

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

The mixed alkali or mixed mobile ion effect in glasses manifests itself by strong nonlinear variations of ionic transport properties upon mixing of different types of mobile ions. We develop a theory for this effect based on thermally…

Materials Science · Physics 2026-05-01 Justus Leiber , Quinn Emilia Fischer , Sven Lohmann , Philipp Maass

We propose that the properties of glass transition can be understood on the basis of elastic waves. Elastic waves originating from atomic jumps in a liquid propagate local expansion due to the anharmonicity of interatomic potential. This…

Disordered Systems and Neural Networks · Physics 2015-05-13 Kostya Trachenko , V. V. Brazhkin

We numerically study yielding in two-dimensional glasses which are generated with a very wide range of stabilities by swap Monte-Carlo simulations and then slowly deformed at zero temperature. We provide strong numerical evidence that…

Disordered Systems and Neural Networks · Physics 2020-05-26 Misaki Ozawa , Ludovic Berthier , Giulio Biroli , Gilles Tarjus

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…

Statistical Mechanics · Physics 2015-06-23 Mikhail Vasin

Swap algorithms can shift the glass transition to lower temperatures, a recent unexplained observation constraining the nature of this phenomenon. Here we show that swap dynamic is governed by an effective potential describing both particle…

Soft Condensed Matter · Physics 2018-09-12 Carolina Brito , Edan Lerner , Matthieu Wyart

A set of equations is derived describing the macroscopic transport of particles and energy in a thermonuclear plasma on the energy confinement time. The equations thus derived allow studying collisional and turbulent transport…

Plasma Physics · Physics 2017-10-20 Matteo Valerio Falessi , Fulvio Zonca

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…

Soft Condensed Matter · Physics 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling

We consider an active Ising model in which spins both diffuse and align on lattice in one and two dimensions. The diffusion is biased so that plus or minus spins hop preferably to the left or to the right, which generates a flocking…

Statistical Mechanics · Physics 2013-09-09 A. Solon , J. Tailleur

Glasses are mechanically rigid, still undergo structural relaxation which changes their properties and affects potential technological applications. Understanding the underlying physical processes is a problem of broad theoretical and…

Soft Condensed Matter · Physics 2025-09-09 Avinash Kumar Jha , Shiladitya Sengupta

We explore progress in understanding the behaviour of cation conducting glasses, within the context of an evolving ''dynamic structure model'' (DSM). This behaviour includes: in single cation glasses a strong dependence of ion mobility on…

Materials Science · Physics 2016-04-13 Armin Bunde , Malcolm D. Ingram , Stefanie Russ

The very nature of glass is somewhat mysterious: while relaxation times in glasses are of sufficient magnitude that large-scale motion on the atomic level is essentially as slow as it is in the crystalline state, the structure of glass…

Statistical Mechanics · Physics 2011-10-06 Thomas E. Markland , Joseph A. Morrone , B. J. Berne , Kunimasa Miyazaki , Eran Rabani , David R. Reichman

By combining aspects of the coherent and self intermediate scattering functions, measured by dynamical light scattering on a suspension of hard sphere-like particles, we show that the arrest of particle number density fluctuations spreads…

Soft Condensed Matter · Physics 2015-05-13 W. van Megen , V. A. Martinez , G. Bryant

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Heerema , F. Ritort
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