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The critical dynamics of Ising spin glasses with Bimodal, Gaussian, and Laplacian interaction distributions are studied numerically in dimensions 3 and 4. The data demonstrate that in both dimensions the critical dynamic exponent $z_{\rm…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michel Pleimling , I. A. Campbell

The non equilibrium relaxational dynamics of the solid on solid model on a disordered substrate and the Sine Gordon model with random phase shifts is studied numerically. Close to the super-roughening temperature $T_g$ our results for the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Heiko Rieger

We numerically study the non-equilibrium dynamics of the three dimensional Heisenberg Edwards-Anderson spin glass following a sudden quench to its low temperature phase. The subsequent aging behavior of the system is analyzed in detail, and…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Berthier , A. P. Young

A detailed numerical study is made of relaxation at equilibrium in the Sherrington-Kirkpatrick Ising spin glass model, at and above the critical temperature Tg. The data show a long time stretched exponential relaxation q(t) ~…

Disordered Systems and Neural Networks · Physics 2015-05-28 Alain Billoire , I. A. Campbell

The spin and the chirality orderings of the Heisenberg spin glass in two dimensions with the nearest-neighbor Gaussian coupling are investigated by equilibrium Monte Carlo simulations. Particular attention is paid to the behavior of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hikaru Kawamura , Hitoshi Yonehara

We study link-diluted $\pm J$ Ising spin glass models on the hierarchical lattice and on a three-dimensional lattice close to the percolation threshold. We show that previously computed zero temperature fixed points are unstable with…

Disordered Systems and Neural Networks · Physics 2009-01-02 Thomas Jorg , Federico Ricci-Tersenghi

We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our…

We introduce a spectral approach to characterizing the three-dimensional Edwards-Anderson spin glass. By analyzing the eigenvalue statistics of overlap matrices constructed from two-dimensional cross-sections, we identify a crossover from…

Disordered Systems and Neural Networks · Physics 2026-03-05 Yaprak Onder , Abbas Ali Saberi , Roderich Moessner

We argue that for generic systems close to a critical point, an extended Fluctuation-Dissipation relation connects the low frequency non-linear (cubic) susceptibility to the four-point correlation function. In glassy systems, the latter…

Statistical Mechanics · Physics 2009-11-11 Jean-Philippe Bouchaud , Giulio Biroli

We study a model for the dynamics of vortices in type II superconductors. In particular, we discuss glassy ``off equilibrium'' properties and ``aging'' in magnetic creep. At low temperatures a crossover point is found, Tg, where relaxation…

Condensed Matter · Physics 2009-10-31 Henrik Jeldtoft Jensen , Mario Nicodemi

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

Statistical Mechanics · Physics 2015-03-13 Juan J. Alonso

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…

Condensed Matter · Physics 2009-10-22 S. Franz , H. Rieger

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 study the relaxational dynamics of flux lines in high-temperature superconductors with random pinning using Langevin dynamics. At high temperatures the dynamics is stationary and the fluctuation dissipation theorem (FDT) holds. At low…

Superconductivity · Physics 2009-11-11 Sebastian Bustingorry , Leticia Cugliandolo , Daniel Dominguez

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

Statistical Mechanics · Physics 2015-03-17 Mario Collura

A characteristic feature of the non--equilibrium dynamics of real spin glasses at low temperatures are strong aging effects. These phenomena can be manipulated by changing the external parameters in various ways: a thermo-cycling experiment…

Condensed Matter · Physics 2009-10-22 Heiko Rieger

Extensive simulations are made of the spin glass susceptibility and correlation length in five dimension Ising Spin Glasses (ISGs) with Gaussian and bimodal interaction distributions. Once the transition temperature is accurately…

Disordered Systems and Neural Networks · Physics 2013-07-22 P. H. Lundow , I. A. Campbell

We investigate the low temperature phase of three-dimensional Edwards-Anderson model with Bernoulli random couplings. We show that at a fixed value $Q$ of the overlap the model fulfills the clustering property: the connected correlation…

Disordered Systems and Neural Networks · Physics 2013-05-29 Pierluigi Contucci , Cristian Giardina , Claudio Giberti , Giorgio Parisi , Cecilia Vernia

We present a numerical study of the order-parameter fluctuations for Ising spin glasses in three and four dimensions at very low temperatures and without an external field. Accurate measurements of two previously introduced parameters, A…

Disordered Systems and Neural Networks · Physics 2009-11-10 Matteo Palassini , Marta Sales , Felix Ritort

We study large-scale, low-energy excitations in the Ising spin glass with Gaussian interactions in two-dimensions at zero temperature, using an optimization algorithm to determine exact ground states. Periodic boundary conditions are…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. K. Hartmann , A. P. Young
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