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We prove a correlation type inequality for spin systems with quenched symmetric random interactions. This gives monotonicity of the pressure with respect to the strength of the interaction for a class of spin glass models. Consequences…

Disordered Systems and Neural Networks · Physics 2009-11-11 Pierluigi Contucci , Joel Lebowitz

Interacting magnetic nanoparticles display a wide variety of magnetic behaviors that are now being gathered in the emerging field of 'supermagnetism.' We have investigated how the out-of-equilibrium dynamics in the disordered superspin…

Disordered Systems and Neural Networks · Physics 2015-06-11 Sawako Nakamae , Caroline Crauste-Thibierge , Denis L'Hote , Eric Vincent , Emmanuelle Dubois , Vincent Dupuis , Regine Perzynski

We investigate numerically the dynamical behavior of the mean field 3-spin spin glass model: we study equilibrium dynamics, and compute equilibrium time scales as a function of the system size V. We find that for increasing volumes the time…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alain Billoire , Luca Giomi , Enzo Marinari

We study the behavior of one dimensional Kac spin glasses as function of the interaction range. We verify by Montecarlo numerical simulations the crossover from local mean field behavior to global paramagnetism. We investigate the behavior…

Disordered Systems and Neural Networks · Physics 2009-11-11 Silvio Franz , Giorgio Parisi

Spin glasses are magnetic materials exhibiting numerous magnetization patterns, that randomly vary both in real space and in time. To date, it is still not well understood what the nature of these spatiotemporal dynamics is, namely if they…

Materials Science · Physics 2024-12-23 L. Niggli , J. H. Strik , Z. Liu , A. Bergman , M. I. Katsnelson , D. Wegner , A. A. Khajetoorians

We discuss a framework for understanding why spin glasses differ so remarkably from homogeneous systems like ferromagnets, in the context of the sharply divergent low temperature behavior of short- and infinite-range versions of the same…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. M. Newman , D. L. Stein

We discuss a novel approach, the point-to-set correlation functions, that allows to determine relevant static and dynamic length scales in glass-forming liquids. We find that static length scales increase monotonically when the temperature…

Disordered Systems and Neural Networks · Physics 2013-07-04 Walter Kob , Sandalo Roldan-Vargas , Ludovic Berthier

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…

Disordered Systems and Neural Networks · Physics 2026-05-05 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi

Binary mixtures of hard-spheres with different diameters and square-well attraction between different particles are studied by theory and Monte Carlo simulations. In our mesoscopic theory, local fluctuations of the volume fraction of the…

Soft Condensed Matter · Physics 2021-10-04 O. Patsahan , A. Meyra , A. Ciach

There is growing evidence that the flow of driven amorphous solids is not homogeneous, even if the macroscopic stress is constant across the system. Via event driven molecular dynamics simulations of a hard sphere glass, we provide the…

Soft Condensed Matter · Physics 2015-06-04 Suvendu Mandal , Markus Gross , Dierk Raabe , Fathollah Varnik

Recent work has suggested the existence of glassy behavior in a ferromagnetic model with a four-spin interaction. Motivated by these findings, we have studied the dynamics of this model using Monte Carlo simulations with particular…

Statistical Mechanics · Physics 2009-10-31 Michael R. Swift , Hemant Bokil , Rui D. M. Travasso , Alan J. Bray

We report on zero field cooled magnetization relaxation experiments on a concen- trated frozen ferrofluid exhibiting a low temperature superspin glass transition. With a method initially developed for spin glasses, we investigate the field…

Disordered Systems and Neural Networks · Physics 2009-02-09 Elie Wandersman , V. Dupuis , Emmanuelle Dubois , Régine Perzynski , S. Nakamae , Eric Vincent

We analyse the relationship between dynamics and configuration space structure of Ising spin glass systems. The exact knowledge of the structure of the low--energy landscape is used to study the relaxation of the system by random walk in…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Kobe , J. Krawczyk

We unveil the multifractal behavior of Ising spin glasses in their low-temperature phase. Using the Janus II custom-built supercomputer, the spin-glass correlation function is studied locally. Dramatic fluctuations are found when pairs of…

We study the properties of fluctuation for the free energies and internal energies of two spin glass systems that differ for having some set of interactions flipped. We show that their difference has a variance that grows like the volume of…

Mathematical Physics · Physics 2009-11-13 Pierluigi Contucci , Cristian Giardina , Claudio Giberti

Spin glasses and many-body localization (MBL) are prime examples of ergodicity breaking, yet their physical origin is quite different: the former phase arises due to rugged classical energy landscape, while the latter is a…

Disordered Systems and Neural Networks · Physics 2021-01-14 Louk Rademaker , Dmitry A. Abanin

Dilute magnetic nanoparticle systems exhibit slow dynamics [1] due to a broad distribution of relaxation times that can be traced to a correspondingly broad distribution of particle sizes [1]. However, at higher concentrations interparticle…

Disordered Systems and Neural Networks · Physics 2007-05-23 Derek Walton

We review 15 years of theoretical and experimental work on the non-linear response of glassy systems. We argue that an anomalous growth of the peak value of non-linear susceptibilities is a signature of growing "amorphous order" in the…

Disordered Systems and Neural Networks · Physics 2021-01-12 Giulio Biroli , Jean-Philippe Bouchaud , Francois Ladieu

The local enhancement of antiferromagnetic correlations near vacancies observed in a variety of spin systems is analyzed in a single framework. Variational calculations suggest that the resonating-valence-bond character of the spin…

Strongly Correlated Electrons · Physics 2015-06-25 George Balster Martins , Markus Laukamp , Jose Riera , Elbio Dagotto

In this paper we propose a short range generalization of the $p$-spin interaction spin-glass model. The model is well suited to test the idea that an entropy collapse is at the bottom-line of the dynamical singularity encountered in…

Condensed Matter · Physics 2009-10-28 Diego Alvarez , Silvio Franz , Felix Ritort
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