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The aim of this paper is to summarise the basic arguments and the intuition bolstering the RFOT picture for glasses, based on a finite dimensional extension of mean-field models with an exponentially large number of metastable states. We…

无序系统与神经网络 · 物理学 2009-12-15 G. Biroli , J. P. Bouchaud

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

统计力学 · 物理学 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

We find that a Lennard-Jones mixture displays a dynamic phase transition between an active regime and an inactive one. By means of molecular dynamics simulations and of a finite-size study, we show that the space time dynamics in the…

统计力学 · 物理学 2012-01-06 Estelle Pitard , Vivien Lecomte , Frédéric Van Wijland

A short survey is presented on spin--glass--like states characteristics in complex nonmagnetic systems. We discuss the interplay of the interaction structure and symmetry with the classification scenarios of the replica symmetry breaking.…

无序系统与神经网络 · 物理学 2010-10-28 T. I. Schelkacheva , E. E. Tareyeva , N. M. Chtchelkatchev

In order to study the activated dynamics of mean-field glasses, which takes place on times of order exp(N), where N is the system size, we introduce a new model, the Correlated Random Energy Model (CREM), that allows for a smooth…

无序系统与神经网络 · 物理学 2018-08-01 Marco Baity-Jesi , Alexandre Achard-de Lustrac , Giulio Biroli

We analyze operational risk in terms of a spin glass model. Several regimes are investigated, as a functions of the parameters that characterize the dynamics. The system is found to be robust against variations of these parameters. We…

风险管理 · 定量金融 2010-02-19 M. Bardoscia , P. Facchi , S. Pascazio , A. Trullo

In this talk I review some recent developments which shed light on the main connections between structural glasses and mean-field spin glass models with a discontinuous transition. I also discuss the role of quantum fluctuations on the…

无序系统与神经网络 · 物理学 2009-10-28 Felix Ritort

Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical…

无序系统与神经网络 · 物理学 2025-11-11 Giulia Garcia Lorenzana , Ada Altieri , Giulio Biroli , Michel Fruchart , Vincenzo Vitelli

There are deep analogies between the melting dynamics in systems with a first order phase transition and the dynamics from equilibrium in super-cooled liquids. For a class of Ising spin models undergoing a first order transition - namely…

统计力学 · 物理学 2011-01-25 Florent Krzakala , Lenka Zdeborová

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an…

无序系统与神经网络 · 物理学 2012-10-12 M. O. Hase , J. R. L. de Almeida , S. R. Salinas

We use a random pinning procedure to investigate stable glassy states associated with large deviations of the activity in a model glass-former. We pin particles both from active (equilibrium) configurations and from stable (inactive) glassy…

统计力学 · 物理学 2014-07-02 Christopher J. Fullerton , Robert L. Jack

The mean number <N> of metastable states in higher order short-range spin glasses is estimated analytically using a variational method introduced by Tanaka and Edwards for very large coordination numbers. For lattices with small…

统计力学 · 物理学 2009-10-31 Viviane M. de Oliveira , J. F. Fontanari , Peter F. Stadler

We analyze the macroscopic behavior of multi-populations randomly connected neural networks with interaction delays. Similar to cases occurring in spin glasses, we show that the sequences of empirical measures satisfy a large deviation…

数学物理 · 物理学 2015-06-15 Tanguy Cabana , Jonathan Touboul

We report computer simulations of oscillatory athermal quasi-static shear deformation of dense amorphous samples of a three dimensional model glass former. A dynamical transition is observed as the amplitude of the deformation is varied:…

无序系统与神经网络 · 物理学 2015-06-15 Davide Fiocco , Giuseppe Foffi , Srikanth Sastry

We study the Metropolis dynamics of the simplest mean-field spin glass model, the Random Energy Model. We show that this dynamics exhibits aging by showing that the properly rescaled time change process between the Metropolis dynamics and a…

概率论 · 数学 2015-02-17 Jiří Černý , Tobias Wassmer

We consider large deviations of the dynamical activity -- defined as the total number of configuration changes within a time interval -- for mean-field and one-dimensional Ising models, in the presence of a magnetic field. We identify…

统计力学 · 物理学 2020-08-26 Jules Guioth , Robert Jack

In a recent publication we established an analogy between the free energy of a hard sphere system and the energy of an elastic network [1]. This result enables one to study the free energy landscape of hard spheres, in particular to define…

无序系统与神经网络 · 物理学 2007-08-08 Carolina Brito , Matthieu Wyart

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that…

无序系统与神经网络 · 物理学 2013-05-29 Kristina Van Duijvendijk , Robert L. Jack , Frédéric Van Wijland

Singularities of dynamical large-deviation functions are often interpreted as the signal of a dynamical phase transition and the coexistence of distinct dynamical phases, by analogy with the correspondence between singularities of free…

统计力学 · 物理学 2021-04-13 Stephen Whitelam , Daniel Jacobson