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Upon cooling, glass-forming liquids experience a two-step relaxation associated to the cage rattling and the escape from the cage, and the following decoupling between the \b{eta}- and the {\alpha}-relaxations. The found decoupling…

Disordered Systems and Neural Networks · Physics 2017-06-07 P. Luo , P. Wen , H. Y. Bai , B. Ruta , W. H. Wang

The random first order transition theory of the dynamics of supercooled liquids is extended to treat aging phenomena in nonequilibrium structural glasses. A reformulation of the idea of ``entropic droplets'' in terms of libraries of local…

Soft Condensed Matter · Physics 2009-11-10 Vassiliy Lubchenko , Peter G. Wolynes

Glassy soft matter is often continuously polydisperse, in which the sizes or various properties of the constituent particles are distributed continuously. However, most of the microscopic theories of the glass transition focus on the…

Soft Condensed Matter · Physics 2024-05-14 Hyonggi Kim , Atsushi Ikeda

We review recent results from computer simulation studies of polymer glasses, from chain dynamics around the glass transition temperature Tg to the mechanical behaviour below Tg. These results clearly show that modern computer simulations…

Materials Science · Physics 2010-09-29 Jean-Louis Barrat , Joerg Baschnagel , Alexei Lyulin

We present a theoretical analysis of the dynamic structure factor (DSF) of a liquid at and below the mode coupling critical temperature $T_c$, by developing a self-consistent theoretical treatment which includes the contributions both from…

Statistical Mechanics · Physics 2007-05-23 Sarika Maitra Bhattacharyya , Biman Bagchi , Peter G. Wolynes

Glassy systems are disordered systems characterized by extremely slow dynamics. Examples are supercooled liquids, whose dynamics slow down under cooling. The specific pattern of slowing-down depends on the material considered. This…

Disordered Systems and Neural Networks · Physics 2016-04-12 Le Yan

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

Statistical Mechanics · Physics 2009-11-07 David S. Dean , Alexandre Lefèvre

A directly measurable correlation length may be defined for systems having a two-step relaxation, based on the geometric properties of density profile that remains after averaging out the fast motion. We argue that the length diverges if…

Statistical Mechanics · Physics 2015-05-19 Jorge Kurchan , Dov Levine

This paper is divided into two parts. The first part concerns several standard scenarios for how short-range spin glasses might behave at low temperature. Earlier theorems of the authors are reviewed, and some new results presented,…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

Glass transition is accompanied by a rapid growth of the structural relaxation time and a concomitant decrease of configurational entropy. It remains unclear whether the transition has a thermodynamic origin, and whether the dynamic arrest…

Soft Condensed Matter · Physics 2015-10-28 Chengjie Xia , Jindong Li , Yixin Cao , Binquan Kou , Xinaghui Xiao , Kamel Fezzaa , Tiqiao Xiao , Yujie Wang

In molecular dynamics simulations of soft glass-formers interacting via repulsions, we find that the glass transition temperature, dynamical heterogeneity, and glass fragility reach their maxima at the same crossover pressure $P_d$. Our…

Soft Condensed Matter · Physics 2012-11-26 Lijin Wang , Yiheng Duan , Ning Xu

In the mode coupling theory of the liquid to glass transition the long time structural relaxation follows from equations solely determined by equilibrium structural parameters. The present extension of these structural relaxation equations…

Soft Condensed Matter · Physics 2017-02-08 M. Fuchs , Th. Voigtmann

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range…

Statistical Mechanics · Physics 2008-02-03 Lei Gu , Bulbul Chakraborty

A model system with fast and slow processes is introduced. After integrating out the fast ones, the considered dynamics of the slow variables is exactly solvable. In statics the system undergoes a Kauzmann transition to a glassy state. The…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen

Generalized mode-coupling theory (GMCT) is a first-principles-based and systematically correctable framework to predict the complex relaxation dynamics of glass-forming materials. The formal theory amounts to a hierarchy of infinitely many…

Statistical Mechanics · Physics 2020-11-26 Rutger A. Biezemans , Simone Ciarella , Onur Çaylak , Björn Baumeier , Liesbeth M. C. Janssen

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

In the context of a classical example of glass-formation in 3-dimensions we exemplify how to construct a statistical mechanical theory of the glass transition. At the heart of the approach is a simple criterion for verifying a proper choice…

Statistical Mechanics · Physics 2009-11-13 Edan Lerner , Itamar Procaccia , Jacques Zylberg

We numerically investigate slow dynamics of a binary mixture of ultrasoft particles interacting with the generalized Hertzian potential. If the softness parameter, $\alpha$, is small, the particles at high densities start penetrating each…

Soft Condensed Matter · Physics 2019-03-27 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

The limit of small entropy production is reached in relaxing systems long after preparation, and in stationary driven systems in the limit of small driving power. Surprisingly, for extended systems this limit is not in general the…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo , Jorge Kurchan

Existing theories explain spin glass transition in terms of a phase transition and order parameters, and assume the existence of a distinct spin glass phase. In addition to problems related to clarifying the nature of this phase, the common…

Disordered Systems and Neural Networks · Physics 2015-05-20 Kostya Trachenko