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The glass transition is described in terms of thermally activated local structural rearrangements, the secondary relaxations of the glass phase. The interaction between these secondary relaxations leads to a much faster and much more…

无序系统与神经网络 · 物理学 2007-05-23 U. Buchenau

We review a model--based rather than phenomenological approach to low--temperature anomalies in glasses. Specifically, we present a solvable model inspired by spin--glass theory that exhibits both, a glassy low--temperature phase, and a…

统计力学 · 物理学 2009-10-31 Reimer Kuehn , Uta Horstmann

We present a quantitative theory for a relaxation function in a simple glass-forming model (binary mixture of particles with different interaction parameters). It is shown that the slowing down is caused by the competition between locally…

材料科学 · 物理学 2009-11-13 Edan Lerner , Itamar Procaccia

We introduce simple models, inspired by previous models for froths and covalent glasses, with trivial equilibrium properties but dynamical behaviour characteristic of strong glass forming systems. These models are also a generalization of…

统计力学 · 物理学 2009-11-07 Arnaud Buhot , Juan P. Garrahan , David Sherrington

The binary hard-sphere mixture is one of the simplest representations of a many-body system with competing time and length scales. This model is relevant to fundamentally understand both the structural and dynamical properties of materials,…

Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

无序系统与神经网络 · 物理学 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

无序系统与神经网络 · 物理学 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

Many recent experiments probed the off equilibrium dynamics of spin glasses and other glassy systems through temperature cycling protocols and observed memory and rejuvenation phenomena. Here we show through numerical simulations, using…

无序系统与神经网络 · 物理学 2009-09-29 Florent Krzakala , Federico Ricci-Tersenghi

The diffusion of small solvent molecules in glassy polymers may take on a variety of different forms. Fickian, anomalous, Case II, and super Case II diffusion have all been observed, and theoretical models exist that describe each specific…

软凝聚态物质 · 物理学 2017-07-27 Jiayuan Miao , Mesfin Tsige , Philip L. Taylor

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

无序系统与神经网络 · 物理学 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

统计力学 · 物理学 2009-10-30 M. E. J. Newman , Cristopher Moore

A spin glass is a diluted magnetic material in which the magnetic moments are randomly interacting, with a huge number of metastable states which prevent reaching equilibrium. Spin-glass models are conceptually simple, but require very…

无序系统与神经网络 · 物理学 2023-03-03 Eric Vincent

In these lectures I will present an introduction to the modern way of studying the properties of glassy systems. I will start from soluble models of increasing complications, the Random Energy Model, the $p$-spins interacting model and I…

无序系统与神经网络 · 物理学 2009-10-30 Giorgio Parisi

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…

软凝聚态物质 · 物理学 2019-03-27 Ryoji Miyazaki , Takeshi Kawasaki , Kunimasa Miyazaki

We study theoretically and numerically a family of multi-point dynamic susceptibilities that quantify the strength and characteristic lengthscales of dynamic heterogeneities in glass-forming materials. We use general theoretical arguments…

We study the low temperature dynamics of a two dimensional short-range spin system with uniform ferromagnetic interactions, which displays glassiness at low temperatures despite the absence of disorder or frustration. The model has a dual…

无序系统与神经网络 · 物理学 2009-10-31 Juan P. Garrahan , M. E. J. Newman

Given the vast differences in interaction details, describing the dynamics of structurally disordered materials in a unified theoretical framework presents a fundamental challenge to condensed-matter physics and materials science. Here, we…

软凝聚态物质 · 物理学 2025-08-12 Liang Gao , Hai-Bin Yu , Thomas B. Schrøder , Jeppe C. Dyre

Recent numerical simulations of a disordered system (Preprint arXiv:condmat/0307554) have shown the existence of two different relaxational processes (called stimulated and spontaneous) characterizing the relaxation observed in structural…

无序系统与神经网络 · 物理学 2007-05-23 F. Ritort

We consider the dynamics of a diluted mean-field spin glass model in the aging regime. The model presents a particularly rich heterogeneous behavior. In order to catch this behavior, we perform a **spin-by-spin analysis** for a **given…

无序系统与神经网络 · 物理学 2009-11-07 Andrea Montanari , Federico Ricci-Tersenghi

We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to the shared features of structural disorder and metastability. A generic model for the mesoscopic dynamics of ``soft glassy matter'' is…

软凝聚态物质 · 物理学 2009-10-28 Peter Sollich , Francois Lequeux , Pascal Hebraud , Michael E Cates