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We revisit the concept of marginal stability in glasses, and determine its range of applicability in the context of avalanche-type response to slow external driving. We argue that there is an intimate connection between a pseudo-gap in the…

统计力学 · 物理学 2015-01-06 Markus Müller , Matthieu Wyart

Glasses exhibit spatially inhomogeneous elastic properties, which can be investigated by measuring their elastic moduli at a local scale. Various methods to evaluate the local elastic modulus have been proposed in the literature. A first…

软凝聚态物质 · 物理学 2013-05-02 Hideyuki Mizuno , Stefano Mossa , Jean-Louis Barrat

The expression of the free energy of a liquid in terms of an explicit decomposition of the particle configurations into local coordination clusters is examined. We argue that the major contribution to the entropy associated with structural…

软凝聚态物质 · 物理学 2016-06-10 Pierre Ronceray , Peter Harrowell

As in the preceding paper we aim at identifying the effective theory that describes the fluctuations of the local overlap with an equilibrium reference configuration close to a putative thermodynamic glass transition. We focus here on the…

统计力学 · 物理学 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in extended disordered systems. We use this definition to…

统计力学 · 物理学 2009-02-02 Silvio Franz , T Jorg , Giorgio Parisi

The universal anomalous vibrational and thermal properties of amorphous solids are believed to be related to the local variations of the elasticity. Recently it has been shown that the vibrational properties are sensitive to the glass's…

软凝聚态物质 · 物理学 2019-09-30 Alireza Shakerpoor , Elijah Flenner , Grzegorz Szamel

In this paper, we propose a new interpretation of local limit theorems for univariate and multivariate distributions on lattices. We show that - given a local limit theorem in the standard sense - the distributions are approximated well by…

概率论 · 数学 2022-08-09 Michael Fleermann , Werner Kirsch , Gabor Toth

In this paper we study the fluctuations of the probability distributions of the overlap in mean field spin glasses in the presence of a magnetic field on the De Almeida-Thouless line. We find that there is a large tail in the left part of…

无序系统与神经网络 · 物理学 2012-02-28 Giorgio Parisi , Federico Ricci-Tersenghi

We analyse numerically thermal fluctuations of the static overlap between equilibrium configurations in a glass-forming liquid approaching the glass transition. We find that the emergence of slow dynamics near the onset temperature…

统计力学 · 物理学 2013-08-23 Ludovic Berthier

We prove the property of stochastic stability previously introduced as a consequence of the (unproved) continuity hypothesis in the temperature of the spin-glass quenched state. We show that stochastic stability holds in beta-average for…

数学物理 · 物理学 2009-11-10 P. Contucci , C. Giardina'

We study the distribution of overlaps of glassy minima, taking proper care of residual symmetries of the system. Ensembles of locally stable, low lying glassy states are efficiently generated by rapid cooling from the liquid phase which has…

软凝聚态物质 · 物理学 2009-10-31 K. K. Bhattacharya , K. Broderix , R. Kree , A. Zippelius

Properties of Random Overlap Structures (ROSt)'s constructed from the Edwards-Anderson (EA) Spin Glass model on $\Z^d$ with periodic boundary conditions are studied. ROSt's are $\N\times\N$ random matrices whose entries are the overlaps of…

概率论 · 数学 2015-05-20 Louis-Pierre Arguin , Michael Damron

The nature of the probability distribution function of the local energy in the $\pm J$ Ising model has been investigated. At finite temperature, it has been derived that the probability distribution function must satisfy several relations…

无序系统与神经网络 · 物理学 2007-05-23 H. Kitatani , A. Aoki

Identifying heterogeneous structures in glasses --- such as localized soft spots --- and understanding structure-dynamics relations in these systems remain major scientific challenges. Here we derive an exact expression for the local…

软凝聚态物质 · 物理学 2017-08-16 Jacques Zylberg , Edan Lerner , Yohai Bar-Sinai , Eran Bouchbinder

All liquids are topologically disordered materials; however, the degree of disorder can vary as a result of internal fluctuations in structure and topology. These fluctuations depend on both the composition and temperature of the system.…

统计力学 · 物理学 2018-08-15 Katelyn A. Kirchner , Seong H. Kim , John C. Mauro

Using computer simulations of an atomistic glass-forming liquid, we investigate the fluctuations of the overlap between a fluid configuration and a quenched reference system. We find that large fluctuations of the overlap develop as…

统计力学 · 物理学 2015-05-29 Ludovic Berthier , Robert L. Jack

We present an analysis of the data on aging in the three-dimensional Edwards Anderson spin glass model with nearest neighbor interactions, which is well suited for the comparison with a recently developed dynamical mean field theory. We…

凝聚态物理 · 物理学 2009-10-22 S. Franz , H. Rieger

The presence of strong local fluctuations -- dynamical heterogeneities -- has been observed near the glass transitions of a wide variety of materials. Here we explore the possible presence of universality in those fluctuations. We compare…

无序系统与神经网络 · 物理学 2008-11-20 Azita Parsaeian , Horacio E. Castillo

We propose a geometrical characterization of amorphous liquid structures that suppress crystallization by competing locally with crystalline order. We introduce for this purpose the crystal affinity of a liquid, a simple measure of its…

软凝聚态物质 · 物理学 2017-10-11 Pierre Ronceray , Peter Harrowell

We study the phenomenon of the locking of the order parameter (or synchronization) in spin glasses at low temperatures. When two systems with independent disorders are coupled, their overlaps become similar. A crucial question is how this…

无序系统与神经网络 · 物理学 2026-05-05 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi