Frequency dependence of aging, rejuvenation and memory in a disordered ferroelectric

Bouchaud, Jean‐Philippe; Doussineau, P.; Lacerda-Arôso, T. de; Levelut, A.

doi:10.1007/s100510170175

Cited by 25 publications

(36 citation statements)

References 16 publications

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“…Prominent examples are shear stress relaxations in structural glasses [3], thermoremanent magnetizations or a.c. susceptibility in spin glasses [4,5]. Similar effects have been observed on the dielectric constant of dipolar glasses [6,7], of structural glasses [8,9], and on the structure factor of LennardJones systems [10]. More recent experiments in colloidal gels [11] or other 'soft glassy materials' have been reported [12,13,14,15,16], and even electronic relaxations in Anderson insulators were found to exhibit aging effects [17].…”

Section: Introductionsupporting

confidence: 54%

“…. denotes an average over (2d−1) S(t w ) uncorrelated random numbers τ j that are distributed according to (7). We will see thatΠ(t w + t, t w ) and Π(t w + t, t w ) exhibit the same scaling properties, which in view of the generic character of Π(t w + t, t w ) (cf.…”

Section: Partial Equilibrium Concept (Pec)mentioning

confidence: 99%

“…. denotes an average over 2d uncorrelated random numbers τ j distributed according to (7). The CTRW theory applies with a rescaled temperature θ ′ , and the aging properties of this model have been worked out in [35].…”

Section: Annealed Situationmentioning

confidence: 99%

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Hopping in the glass configuration space: Subaging and generalized scaling laws

2001

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Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states ρ(E) = T −1 g exp(E/Tg), −∞ < E ≤ 0. In particular we explore the behavior of a generic two-time correlation function Π(tw + t, tw) below the glass transition temperature Tg when both the observation time t and the waiting time tw become large. We show the occurrence of ordinary scaling behavior, Π(tw + t, tw) ∼ F1(t/t µ 1 w ), where µ1 = 1 (normal aging) or µ1 < 1 (subaging), and the possible simultaneous occurrence of generalized scaling behavior, tw ) with µ2 < µ1 (subaging). Which situation occurs depends on the form of the effective transition rates between the low lying states. Employing a "Partial Equilibrium Concept", the exponents µ1,2 and the asymptotic form of the scaling functions are obtained both by simple scaling arguments and by analytical calculations. The predicted scaling properties compare well with Monte-Carlo simulations in dimensions d = 1 − 1000 and it is argued that a mean-field type treatment of the hopping motion fails to describe the aging dynamics in any dimension. Implications for more general situations involving different forms of transition rates and the occurrence of many scaling regimes in the t-tw plane are pointed out.

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Section: Introductionsupporting

confidence: 54%

Section: Partial Equilibrium Concept (Pec)mentioning

confidence: 99%

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Hopping in the glass configuration space: Subaging and generalized scaling laws

2001

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“…√ N corr is supposedly valid at small H [48], while the dependence on the number of correlated spins is argued to be proportional to √ N corr , rather than linear in N corr , as from Eq. (4).…”

Section: Reanalysis Of Previous Datamentioning

confidence: 99%

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Paga¹,

Zhai²,

Baity‐Jesi³

et al. 2021

J. Stat. Mech.

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The synergy between experiment, theory, and simulations enables a microscopic analysis of spin-glass dynamics in a magnetic field in the vicinity of and below the spinglass transition temperature T g . The spin-glass correlation length, ξ(t, t w ; T ), is analysed both in experiments and in simulations in terms of the waiting time t w after the spin glass has been cooled down to a stabilised measuring temperature T < T g and of the time t after the magnetic field is changed. This correlation length is extracted experimentally for a CuMn 6 at. % single crystal, as well as for simulations on the Janus II special-purpose supercomputer, the latter with time and length scales comparable to experiment. The nonlinear magnetic susceptibility is reported from experiment and simulations, using ξ(t, t w ; T ) as the scaling variable. Previous experiments are reanalysed, and disagreements about the nature of the Zeeman energy are resolved. The growth of the spin-glass magnetisation in zero-field magnetisation experiments, M ZFC (t, t w ; T ), is measured from simulations, verifying the scaling relationships in the dynamical or non-equilibrium regime. Our preliminary search for the de Almeida-Thouless line in D = 3 is discussed.

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“…It consists in the complete reorganization of the equilibrium configurations by the slightest change in temperature. The topic is currently under intense theoretical scrutiny [21,22,23,24], not only because of its importance to analyze spectacular experiments [25,26,27,28,29,30,31,32], but also as a crucial tool to assess the performance of quantum annealers [33,34].…”

Section: Introductionmentioning

confidence: 99%

Temperature chaos is a non-local effect

et al. 2016

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Abstract. Temperature chaos plays a role in important effects, like for example memory and rejuvenation, in spin glasses, colloids, polymers. We numerically investigate temperature chaos in spin glasses, exploiting its recent characterization as a rare-event driven phenomenon. The peculiarities of the transformation from periodic to anti-periodic boundary conditions in spin glasses allow us to conclude that temperature chaos is non-local: no bounded region of the system causes it. We precise the statistical relationship between temperature chaos and the free-energy changes upon varying boundary conditions. PACS numbers: 75.10.Nr,71.55.Jv,05.70.Fh Submitted to: Journal of Statistical MechanicsTemperature chaos is a non-local effect 2 1. Introduction.

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Frequency dependence of aging, rejuvenation and memory in a disordered ferroelectric

Cited by 25 publications

References 16 publications

Hopping in the glass configuration space: Subaging and generalized scaling laws

Hopping in the glass configuration space: Subaging and generalized scaling laws

Spin-glass dynamics in the presence of a magnetic field: exploration of microscopic properties

Temperature chaos is a non-local effect

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