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Glass stability (GS) indicates the glass reluctance or ability to crystallise upon heating; it can be characterised by several methods and parameters and is frequently used to retrieve glass-forming ability (GFA) of corresponding liquids as…

Geophysics · Physics 2018-03-01 G. Iezzi , A. L. Elbrecht , M. Davis , F. Vetere , V. Misiti , S. Mollo , A. Cavallo

The p-spin spin-glass model has been studied extensively at mean-field level because of the insights which it provides into the mode-coupling approach to structural glasses and the nature of the glass transition. We demonstrate explicitly…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. A. Moore , Barbara Drossel

Some invariances under perturbations of the spin glass phase are introduced, their proofs outlined and their consequences illustrated as factorisation rules for the overlap distribution. A comparison between the state of the art for mean…

Mathematical Physics · Physics 2012-12-04 Pierluigi Contucci

Starting from the study of a linear combination of multi-overlaps which can be rigorously shown to vanish for large systems we numerically analyze the factorization properties of the link-overlaps multi-distribution for the 3D Gaussian…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pierluigi Contucci , Cristian Giardina

We investigate the dynamics of spin glasses from the `rheological' point of view, in which aging is suppressed by the action of small, non-conservative forces. The different features can be expressed in terms of the scaling of relaxation…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ludovic Berthier , Jean-Louis Barrat , Jorge Kurchan

Following numerous earlier studies, extensive simulations and analyses were made on the continuous interaction distribution Gaussian model and the discrete bimodal interaction distribution Ising Spin Glass (ISG) models in dimension two…

Disordered Systems and Neural Networks · Physics 2017-04-12 P. H. Lundow , I. A. Campbell

We study the coarsening dynamics of the three-dimensional random field Ising model using Monte Carlo numerical simulations. We test the dynamic scaling and super-scaling properties of global and local two-time observables. We treat in…

Disordered Systems and Neural Networks · Physics 2009-08-12 Camille Aron , Claudio Chamon , Leticia F. Cugliandolo , Marco Picco

Spin-glasses are universal models that can capture complex behavior of many-body systems at the interface of statistical physics and computer science including discrete optimization, inference in graphical models, and automated reasoning.…

Machine Learning · Computer Science 2020-01-14 Gavin S. Hartnett , Masoud Mohseni

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…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

The Parisi solution of the mean-field spin glass has been widely accepted and celebrated. Its marginal stability in 3d and its complexity however raised the question of its relevance to real spin glasses. This paper gives a short overview…

Disordered Systems and Neural Networks · Physics 2009-06-26 Eric Vincent , J. Hammann , Miguel Ocio

Stability and diversity are two key properties that living entities share with spin glasses, where they are manifested through the breaking of the phase space into many valleys or local minima connected by saddle points. The topology of the…

Disordered Systems and Neural Networks · Physics 2009-11-07 J. F. Fontanari , P. F. Stadler

Observations of glassy dynamics in experiments on confluent cellular tissue have inspired a wealth of computational and theoretical research to model their emergent collective behavior. Initial studies of the physical properties of several…

Soft Condensed Matter · Physics 2024-09-04 Helen S. Ansell , Chengling Li , Daniel M. Sussman

We investigate numerically the finite-size scaling properties of the domain wall energies in the three-dimensional gauge glass model. From the analysis of results obtained for systems of linear sizes $3\le L\le 8$ we conclude that the…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Maucourt , D. R. Grempel

We analyze numerically the violation of the fluctuation-dissipation theorem (FDT) in the $\pm J$ Edwards-Anderson (EA) spin glass model. Using single spin probability densities we reveal the presence of strong dynamical heterogeneities,…

Disordered Systems and Neural Networks · Physics 2015-06-25 F. Roma , S. Bustingorry , P. M. Gleiser , D. Dominguez

Spin glasses are quintessential examples of complex matter. Although much about their order remains uncertain, abstract models of them inform, e.g., the classification of combinatorial optimization problems, the magnetic ordering in metals…

Purpose of this paper is to face up to P-spin glass and Gaussian P-spin model, i.e. spin glasses with polynomial interactions of degree P > 2. We consider the replica symmetry and first step of replica simmetry breaking assumptions and we…

Disordered Systems and Neural Networks · Physics 2021-11-25 Linda Albanese , Andrea Alessandrelli

We find 5D gauged supergravity theories exhibiting stable de Sitter vacua. These are the first examples of stable de Sitter vacua in higher-dimensional (D>4) supergravity. Non-compact gaugings with tensor multiplets and R-symmetry gauging…

High Energy Physics - Theory · Physics 2009-11-11 Bert Cosemans , Geert Smet

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

Mean field spin glass models have undergone substantial mathematical development, but finite dimensional short range spin glasses remain much less understood. This paper proves several rigorous zero temperature signatures of glassy behavior…

Mathematical Physics · Physics 2026-05-05 Sourav Chatterjee

The stability of the Ghurye-Olkin (GO) characterization of Gaussian vectors is analyzed using a partition of the vectors into equivalence classes defined by their matrix factors. The sum of the vectors in each class is near-Gaussian in the…

Information Theory · Computer Science 2025-10-07 Mahdi Mahvari , Gerhard Kramer