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Related papers: Local Spin Glass Order in 1D

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We define a new family of random spin models with one-dimensional structure, finite-range multi-spin interactions, and bounded average degree (number of interactions in which each spin participates). Unfrustrated ground states can be…

Statistical Mechanics · Physics 2009-04-13 Andrea Montanari , Antoine Sinton

We study a finite range spin glass model in arbitrary dimension, where the intensity of the coupling between spins decays to zero over some distance $\gamma^{-1}$. We prove that, under a positivity condition for the interaction potential,…

Disordered Systems and Neural Networks · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

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

This paper discusses the dynamical properties of $p$-spin models with Kac kind interactions. For large but finite interaction range $R$ one finds two different time scales for relaxation. A first relaxation roughly independent of $R$ where…

Statistical Mechanics · Physics 2008-09-16 Silvio Franz

We study spin glasses with Kac type interaction potential for small but finite inverse interaction range $\gamma$. Using the theoretical setup of coupled replicas, through the replica method we argue that the probability of overlap profiles…

Disordered Systems and Neural Networks · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

The random-bond XY spin glass with ferromagnetic next-nearest-neighbour interactions is studied on a square lattice by Monte Carlo simulations. We find strong evidence for a finite-temperature spin glass transition at $T_c\approx 1.1$. We…

Disordered Systems and Neural Networks · Physics 2009-09-25 S. Jain , K. J. Hammarling

We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the…

Disordered Systems and Neural Networks · Physics 2009-11-13 Pierluigi Contucci , Francesco Unguendoli , Cecilia Vernia

Aging phenomena of short-range Ising spin glass models have been investigated using Monte Carlo simulations. It is found that in the low-temperature spin-glass phase the mean domain size exhibits a crossover from a power-law growth…

Disordered Systems and Neural Networks · Physics 2009-10-31 Koji Hukushima , Hajime Yoshino , Hajime Takayama

In this paper I will review my work on disordered systems -spin glass model with two body and $p>2$ body interactions- with long but finite interaction range $R$. I will describe the relation of these model with Mean Field Theory in the Kac…

Statistical Mechanics · Physics 2009-11-13 Silvio Franz

The high-order behavior of the perturbation expansion in the cubic replica field theory of spin glasses in the paramagnetic phase has been investigated. The study starts with the zero-dimensional version of the replica field theory and this…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. Yeo , M. A. Moore , T. Aspelmeier

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 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

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality…

Disordered Systems and Neural Networks · Physics 2015-06-25 Akihiro Matsuda , Mitsuru Nakamura , Hikaru Kawamura

We study the 3D Edwards-Anderson spin glasses, by analyzing spin-spin correlation functions in thermalized spin configurations at low T on large lattices. We consider individual disorder samples and analyze connected clusters of very…

Disordered Systems and Neural Networks · Physics 2015-03-20 A. Billoire , A. Maiorano , E. Marinari

Ordering of the Heisenberg spin glass with the nearest-neighbor Gaussian coupling is investigated by equilibrium Monte Carlo simulations in four and five dimensions. Ordering of the mean-field Heisenberg spin-glass is also studied for…

Disordered Systems and Neural Networks · Physics 2009-11-07 Daisuke Imagawa , Hikaru Kawamura

In this paper we investigate the superspin glass behavior of a concentrated assembly of interacting maghemite nanoparticles and compare it to that of canonical atomic spin glass systems. ac versus temperature and frequency measurements show…

Disordered Systems and Neural Networks · Physics 2008-04-15 D. Parker , V. Dupuis , F. Ladieu , J. -P. Bouchaud , E. Dubois , R. Perzynski , Eric Vincent

We study energy landscape and dynamics of the three-dimensional Heisenberg Spin Glass model in the paramagnetic phase, i.e. for temperature $T$ larger than the critical temperature $T_\mathrm{c}$. The landscape is non-trivially related to…

Disordered Systems and Neural Networks · Physics 2019-09-24 Marco Baity-Jesi , Victor Martin-Mayor

Spin relaxation close to the glass temperature of CuMn and AuFe spin glasses is shown, by neutron spin echo, to follow a generalised exponential function which explicitly introduces hierarchically constrained dynamics and macroscopic…

Disordered Systems and Neural Networks · Physics 2009-02-25 R M Pickup , R Cywinski , C Pappas , B Farago , P Fouquet

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

In this paper we study finite interaction range corrections to the mosaic picture of the glass transition as emerges from the study of the Kac limit of large interaction range for disordered models. To this aim we consider point to set…

Disordered Systems and Neural Networks · Physics 2009-11-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi
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