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For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

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

The aim of this paper is to discuss some basic notions regarding generic glass forming systems composed of particles interacting via soft potentials. Excluding explicitly hard-core interaction we discuss the so called `glass transition' in…

Disordered Systems and Neural Networks · Physics 2009-11-13 Jean-Pierre Eckmann , Itamar Procaccia

Polymers near the glass transition temperature Tg often exhibit a breakdown of time-temperature-superposition (TTS), with chain relaxation times and viscosity exhibiting a weaker temperature dependence than segmental relaxation times. The…

Soft Condensed Matter · Physics 2024-03-05 Peijing Yue , David S. Simmons

The recently discovered scaling law for the relaxation times, tau=f(T,V^g), where T is temperature and V the specific volume, is derived by a revision of the entropy model of the glass transition dynamics originally proposed by Avramov [I.…

Soft Condensed Matter · Physics 2009-11-11 R. Casalini , U. Mohanty , C. M. Roland

We combine the swap Monte Carlo algorithm to long multi-CPU molecular dynamics simulations to analyse the equilibrium relaxation dynamics of model supercooled liquids over a time window covering ten orders of magnitude for temperatures down…

Soft Condensed Matter · Physics 2022-12-16 Camille Scalliet , Benjamin Guiselin , Ludovic Berthier

Recently, a universal relation between the thermal expansion coefficient of glasses $\alpha_g$, their glass-transition temperature Tg, and the so-called fragility index m of the corresponding supercooled liquid state was found to be valid…

Soft Condensed Matter · Physics 2024-10-29 P. Lunkenheimer , K. Samwer , A. Loidl

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

Engineering phase change materials (PCM) to realize superior data storage devices requires a detailed understanding of crystallization kinetics and its temperature dependence. The temperature dependence of crystallization differs distinctly…

Materials Science · Physics 2021-03-12 Julian Pries , Julia Sehringer , Shuai Wei , Pierre Lucas , Matthias Wuttig

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

In 1995, the Nobel Price winner P.W. Anderson made the following remarkable statement: The deepest and most interesting unsolved problem in solid state theory is probably the theory of the nature of glass and glass transition. Although…

Soft Condensed Matter · Physics 2025-09-04 Jan-Kristian Krüger , Bernd Wetzel , Andreas Klingler

In conventional glassformers at sufficiently short times and low enough temperatures, molecules are mutually caged by the intermolecular potential. The fluctuation and dissipation from motion of caged molecules when observed by elastic…

Soft Condensed Matter · Physics 2011-06-30 K. L. Ngai , S. Capaccioli , A. Paciaroni

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

Describing the dynamics and thermodynamics of amorphous materials near the glass transition is a major challenge in soft-matter physics and polymer engineering. Here, we show that the dependence of the dielectric alpha-relaxation time on…

Soft Condensed Matter · Physics 2025-04-28 Valeriy V. Ginzburg , Oleg V. Gendelman , Riccardo Casalini , Alessio Zaccone

Isotopically layered amorphous solid water films were used to measure the diffusivity of deeply supercooled liquid water near the glass transition. The films, composed of separate layers of oxygen 16 and oxygen 18 labeled water, were grown…

Soft Condensed Matter · Physics 2025-02-06 R. Scott Smith , Wyatt A. Thornley , Greg A. Kimmel , Bruce D. Kay

At temperatures well below their glass transition, the deformation properties of bulk metallic glasses are characterised by a sharp transition from elasticity to plasticity, a reproducible yield stress, and an approximately linear decrease…

Soft Condensed Matter · Physics 2013-11-18 P. M. Derlet , R. Maaß

Thermodynamics and kinetics are thought to be linked in glass transitions. The quantitative predictions of -relaxation activation barriers provided by the theory of glasses based on random first order transitions are compared with…

Soft Condensed Matter · Physics 2007-05-23 Jacob D. Stevenson , Peter G. Wolynes

Glass materials, as quintessential non-equilibrium systems, exhibit properties such as energy dissipation that are highly sensitive to their preparation histories. A key challenge has been identifying a unified order parameter to…

Disordered Systems and Neural Networks · Physics 2025-09-30 Jun-Ying Jiang , Liang Gao , Hai-Bin Yu

A particle in a random potential with logarithmic correlations in dimensions $d=1,2$ is shown to undergo a dynamical transition at $T_{dyn}>0$. In $d=1$ exact results demonstrate that $T_{dyn}=T_c$, the static glass transition temperature,…

Condensed Matter · Physics 2009-10-31 Horacio Castillo , Pierre Le Doussal

Many properties of solids such as the glass state are commonly treated as nonequilibrium phenomena, which involve many conceptual difficulties. However, few studies have addressed the problem of understanding equilibrium itself. Equilibrium…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai