Rejuvenation and memory in model spin glasses in three and four dimensions

Jiménez, S.; Martı́n-Mayor, V.; Pérez-Gaviro, S.

doi:10.1103/physrevb.72.054417

Cited by 25 publications

(39 citation statements)

References 49 publications

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“…The apparent existence of a single length scale that grows algebraically was confirmed by a recent numerical work [6], where it was furthermore claimed that the response function is well described by local scale invariance [7]. In spite of this, the correlation function showed systematic deviations from a simple t/t w scaling [6] (although simple aging seems to work well in d = 3 [8]). In [6], the autocorrelation was then compared to the scaling form C(t, t w ) ∼ t −xc (t/t w ), which usually holds at a critical point with x > 0 [9].…”

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confidence: 60%

Superaging in two-dimensional random ferromagnets

2007

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We study the aging properties, in particular the two-time autocorrelations, of the two-dimensional randomly diluted Ising ferromagnet below the critical temperature via Monte-Carlo simulations. We find that the autocorrelation function displays additive aging C(t, tw) = Cst(t) + Cag(t, tw), where the stationary part Cst decays algebraically. The aging part shows anomalous scaling Cag(t, tw) = C(h(t)/h(tw)), where h(u) is a non-homogeneous function excluding a t/tw scaling. PACS numbers:The phase ordering kinetics in pure systems has attracted much attention in the last years [1]. A common scenario for instance for ferromagnets after a fast quench from above to below the ordering temperature is a continuous domain growth governed by a single length scale that depends algebraically on the time t w after the quench. The existence of this length scale quite frequently determines also the scaling properties of other dynamical non-equilibrium quantities like the two-time auto-correlation function C(t, t w ), which describes the correlations between the spin configurations at the time t w after the quench and a later configuration at a time t + t w . It gives rise to what is called simple aging in the context of glassy systems [2]: C(t, t w ) depends for large times t and t w only on the scaling variable t/t w . This behavior is rather well established by analytical works in various non-random models [3], and it has been corroborated by a large amount of numerical work [2].Much less analytical results are available for disordered ferromagnets, where numerical simulations thus play an important role. A recent numerical study of the relaxational dynamics in two-dimensional random magnets [4] found evidence for a power law growth L(t) ∝ t 1/z of the aforementioned length scale L(t). The dynamical exponent z turned out to depend both on temperature T and disorder strength and to behave as z ∝ 1/T at low temperatures T . The latter is compatible with activated dynamics of pinned domain walls over logarithmic free energy barriers (rather than power law [5]). The apparent existence of a single length scale that grows algebraically was confirmed by a recent numerical work [6], where it was furthermore claimed that the response function is well described by local scale invariance [7]. In spite of this, the correlation function showed systematic deviations from a simple t/t w scaling [6] (although simple aging seems to work well in d = 3 [8]). In [6], the autocorrelation was then compared to the scaling form C(t, t w ) ∼ t −xc (t/t w ), which usually holds at a critical point with x > 0 [9]. However, a fit of this form to the numerical data obtained in [6] (and to ours as we will report below) yielded negative exponents x, which is unphysical. The aim of this paper is to suggest an alternative picture originally applied in the context of aging experiments in glasses [10] and spin glasses [11].We study the site diluted Ising model (DIM) defined on 2-dimensional square lattice with periodic boundary conditions, and described by th...

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confidence: 60%

Superaging in two-dimensional random ferromagnets

2007

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“…On the other hand, the dimensionality of the spin glass is determined by the dynamical correlation length. Values of the correlation length SG N SG n 1=3 imp (n imp the density of spins) extracted from field change experiments for various spin glasses [29] and extrapolation from recent numerical simulations [30] are of the order of N SG 30-50 spins after a waiting time t w 1000 s. For samples with transverse dimensions L y , L z larger than SG , the proposed conductance measurements will probe properties of an effective 3D spin glass. Reconsidering the experiments of [13], we obtain approximately 40 spins in the transverse dimensions L y ' 900 A, implying a 3D spin glass behavior.…”

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confidence: 88%

Measuring Overlaps in Mesoscopic Spin Glasses via Conductance Fluctuations

Carpentier

Orignac

2008

Phys. Rev. Lett.

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“…where a ≈ 0.4 for the three-dimensional case [59], whereas F (x) = exp[−x β ] with β ∼ 1.5 [60]. Using the method of integral estimators proposed in [30], we note that the dynamical correlation length is proportional to the following ratio of integrals:…”

Section: Dynamical Correlation Lengthmentioning

confidence: 99%

Domain growth and aging scaling in coarsening disordered systems

Park

Pleimling

2012

Eur. Phys. J. B

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Abstract. Using extensive Monte Carlo simulations we study aging properties of two disordered systems quenched below their critical point, namely the two-dimensional random-bond Ising model and the threedimensional Edwards-Anderson Ising spin glass with a bimodal distribution of the coupling constants. We study the two-times autocorrelation and space-time correlation functions and show that in both systems a simple aging scenario prevails in terms of the scaling variable L(t)/L(s), where L is the time-dependent correlation length, whereas s is the waiting time and t is the observation time. The investigation of the space-time correlation function for the random-bond Ising model allows us to address some issues related to superuniversality.

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Rejuvenation and memory in model spin glasses in three and four dimensions

Cited by 25 publications

References 49 publications

Superaging in two-dimensional random ferromagnets

Superaging in two-dimensional random ferromagnets

Measuring Overlaps in Mesoscopic Spin Glasses via Conductance Fluctuations

Domain growth and aging scaling in coarsening disordered systems

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