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Motivated by the mean field prediction of a Gardner phase transition between a "normal glass" and a "marginally stable glass", we investigate the off-equilibrium dynamics of three-dimensional polydisperse hard spheres, used as a model for…

软凝聚态物质 · 物理学 2018-06-28 Beatriz Seoane , Francesco Zamponi

The starting point of the present work is the observation of possible analogies, both at the phenomenological and at the methodological level, between the subcritical transition to turbulence and the glass transition. Having recalled the…

流体动力学 · 物理学 2014-06-17 Olivier Dauchot , Eric Bertin

This paper first describes, from a high level viewpoint, the main challenges that had to be solved in order to develop a theory of spin glasses in the last fifty years. It then explains how important inference problems, notably those…

无序系统与神经网络 · 物理学 2023-12-12 Marc Mézard

In this paper we investigate the marginally stable nature of the low-temperature trivial spin glass phase in the spherical $p=2$ spin glass, by perturbing the system with three different kinds of non-linear interactions. In particular, we…

无序系统与神经网络 · 物理学 2024-09-13 Jacopo Niedda , Tommaso Tonolo , Giacomo Gradenigo

We study the out of equilibrium dynamics of several models exhibiting aging. We attempt at identifying various types of aging systems using a phase space point of view: we introduce a trial classification, based on the overlap between two…

凝聚态物理 · 物理学 2009-10-28 A. Barrat , R. Burioni , M. Mézard

The purpose of this manuscript is to review my recent activity on three main research topics. The first concerns the nature of low temperature amorphous solids and their relation with the spin glass transition in a magnetic field. This is…

无序系统与神经网络 · 物理学 2024-05-13 Pierfrancesco Urbani

We present a simple model of a vibrated box of sand, and discuss its dynamics in terms of two parameters reflecting static and dynamic disorder respectively. The fluidised, intermediate and frozen (`glassy') dynamical regimes are…

凝聚态物理 · 物理学 2009-11-07 Peter F. Stadler , Anita Mehta , Jean-Marc Luck

We review the use of kinetically constrained models (KCMs) for the study of dynamics in glassy systems. The characteristic feature of KCMs is that they have trivial, often non-interacting, equilibrium behaviour but interesting slow dynamics…

统计力学 · 物理学 2007-05-23 Felix Ritort , Peter Sollich

An exact solution of a Landau model of an order-disorder transition with activated critical dynamics is presented. The model describes a funnel-shaped topography of the order parameter space in which the number of energy lowering…

统计力学 · 物理学 2009-11-10 Satya N. Majumdar , Dibyendu Das , Jane' Kondev , Bulbul Chakraborty

We show the existence of fragile-to-strong transitions in kinetically constrained systems by studying the equilibrium and out-of-equilibrium dynamics of a generic constrained Ising spin chain which interpolates between the symmetric and…

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

In this paper we study the critical properties of a finite dimensional generalization of the p-spin model. We find evidence that in dimension three, contrary to its mean field limit, the glass transition is associated to a diverging…

无序系统与神经网络 · 物理学 2009-10-31 Silvio Franz , Giorgio Parisi

The dynamical properties of a three dimensional model glass, the frustrated Ising lattice gas (FILG) are studied by Monte Carlo simulations. We present results of compression experiments, where the chemical potential is either slowly or…

无序系统与神经网络 · 物理学 2009-10-31 J. J. Arenzon , F. Ricci-Tersenghi , D. A. Stariolo

``Chirality'' is a multispin quantity representing the sense or the handedness of the noncollinear spin structures induced by spin frustration. Recent studies have revealed that the chirality often plays an important role in the ordering of…

统计力学 · 物理学 2016-04-20 Hikaru Kawamura

We show that there are several striking parallels between the dynamics of gelatin gels and spin glasses. In general, glassy systems retain a memory of their past history. A key characteristic differentiating spin glasses from most other…

软凝聚态物质 · 物理学 2007-05-23 Alan Parker , Valery Normand

We investigate numerically disorder chaos in spin glasses, i.e. the sensitivity of the ground state to small changes of the random couplings. Our study focuses on the Edwards-Anderson model in d=1,2,3 and in mean-field. We find that in all…

无序系统与神经网络 · 物理学 2007-05-23 Florent Krzakala , Jean-Philippe Bouchaud

We analyze a simple dynamical model of glasses, based on the idea that each particle is trapped in a local potential well, which itself evolves due to hopping of neighbouring particles. The glass transition is signalled by the fact that the…

凝聚态物理 · 物理学 2009-10-28 Jean-Philippe Bouchaud , Alain Comtet , Cécile Monthus

Spin glasses are notoriously difficult to study both analytically and numerically due to the presence of frustration and metastability. Their highly non-convex landscapes require collective updates to explore efficiently. Currently, most…

无序系统与神经网络 · 物理学 2022-01-03 Yan Ru Pei , Massimiliano Di Ventra

In this letter we study a lattice gas system that undergoes a glassy transition. When we approach the glass transition we find both a divergence of a point to set correlation length and the vanishing of the thermodynamic potential. These…

软凝聚态物质 · 物理学 2009-11-13 Giorgio Parisi

The dynamical arrest of gels is the consequence of a well defined structural phase transition, leading to the formation of a spanning cluster of bonded particles. The dynamical glass transition, instead, is not accompanied by any clear…

软凝聚态物质 · 物理学 2016-07-21 Raffaele Pastore , Antonio de Candia , Anallisa Fierro , Massimo Pica Ciamarra , Antonio Coniglio

Despite the use of glasses for thousands of years, the nature of the glass transition is still mysterious. On approaching the glass transition, the growth of dynamic heterogeneity has long been thought to play a key role in explaining the…

软凝聚态物质 · 物理学 2018-03-23 Lijin Wang , Ning Xu , W. H. Wang , Pengfei Guan