An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature

Belletti, F.; Cruz, A.; Fernández, L. A.; Gordillo‐Guerrero, A.; Guidetti, M.; Maiorano, Andrea; Mantovani, Filippo; Marinari, Enzo; Martı́n-Mayor, V.; Monforte, John; Sudupe, A. Muñoz; Navarro, D.; Parisi, G.; Pérez-Gaviro, S.; Ruiz‐Lorenzo, J. J.; Schifano, Sebastiano Fabio; Sciretti, D.; Tarancón, A.; Tripiccione, R.; Yllanes, David

doi:10.1007/s10955-009-9727-z

Cited by 96 publications

(222 citation statements)

References 75 publications

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“…Besides the disordered magnets, many other disordered systems, as, for example, vortex glasses in high-temperature superconductors, 4 Coulomb glasses, 48 or spin glasses, 49 are undergoing ordering processes which have been characterized by an ͑effective͒ growth law with a temperature and disorder-dependent exponent. Our results indicate that one has to be very careful in this type of situation as the effective dynamical exponent presumably only masks the presence of a transient initial time regime, followed by a crossover to a slower asymptotic growth regime.…”

Section: Discussionmentioning

confidence: 99%

Aging in coarsening diluted ferromagnets

2010

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We comprehensively study nonequilibrium relaxation and aging processes in the two-dimensional randomsite Ising model through numerical simulations. We discuss the dynamical correlation length as well as scaling functions of various two-time quantities as a function of temperature and of the degree of dilution. For already modest values of the dynamical correlation length L deviations from a simple algebraic growth, L͑t͒ϳt 1/z , are observed. When taking this nonalgebraic growth properly into account, a simple aging behavior of the autocorrelation function is found. This is in stark contrast to earlier studies where, based on the assumption of algebraic growth, a superaging scenario was postulated for the autocorrelation function in disordered ferromagnets. We also study the scaling behavior of the space-time correlation as well as of the time integrated linear response and find again agreement with simple aging. Finally, we briefly discuss the possibility of superuniversality in the scaling properties of space-and time-dependent quantities.

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Section: Discussionmentioning

confidence: 99%

Aging in coarsening diluted ferromagnets

2010

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“…However, the spin-glass susceptibility presents strong scaling corrections (even on an L = 32 lattice and β = 1.4), which induce strong corrections on the density of zeros allowing us (from the numerical point of view) only to test our density of zeros against the values of q EA found in the literature, rather than attempting a direct numerical computation of the order parameter. We want to stress that in cases in which the spin glass susceptibility reaches the asymptotic value, the method we propose will be able to provide directly the order parameter (q EA ) giving an additional method to those used nowadays [18,19,20,21].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Baños¹,

Gil-Narvion²,

Monforte-Garcia³

et al. 2013

J. Stat. Mech.

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Abstract.We have characterized numerically, using the Janus computer, the Lee-Yang complex singularities related to the overlap in the 3D Ising spin glass with binary couplings in a wide range of temperatures (both in the critical and in the spin-glass phase). Studying the behavior of the zeros at the critical point, we have obtained an accurate measurement of the anomalous dimension in very good agreement with the values quoted in the literature. In addition, by studying the density of the zeros we have been able to characterize the phase transition and to investigate the EdwardsAnderson order parameter in the spin-glass phase, finding agreement with the values obtained using more conventional techniques.

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“…The value we obtain is in agreement with the estimate of Refs. [8] and [11] at T = 1.1. Instead, it is larger than those of Refs.…”

Section: Numerical Resultsmentioning

confidence: 99%

Out-of-equilibrium finite-size method for critical behavior analyses

2016

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We present a new dynamic off-equilibrium method for the study of continuous transitions, which represents a dynamic generalization of the usual equilibrium cumulant method. Its main advantage is that critical parameters are derived from numerical data obtained much before equilibrium has been attained. Therefore, the method is particularly useful for systems with long equilibration times, like spin glasses. We apply it to the three-dimensional Ising spin-glass model, obtaining accurate estimates of the critical exponents and of the critical temperature with a limited computational effort.

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An In-Depth View of the Microscopic Dynamics of Ising Spin Glasses at Fixed Temperature

Cited by 96 publications

References 75 publications

Aging in coarsening diluted ferromagnets

Aging in coarsening diluted ferromagnets

Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

Out-of-equilibrium finite-size method for critical behavior analyses

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