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Alberici-Kious, F.; Bouchaud, J. P.; Cugliandolo, Leticia F.; Doussineau, P.; Levelut, A.

doi:10.1103/physrevb.62.14766

Cited by 22 publications

(10 citation statements)

References 15 publications

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“…Other perovskite systems presenting electric polarization freezing, aging and memory are the so-called dipolar glasses, like KLT or KTN. The non-equilibrium effects in these systems are at least an order of magnitude smaller than those found here, but they have been extensively studied, 23 and the aging part of susceptibility has been attributed to the domain walls reconformation, when the domains slowly evolve toward the equilibrium size. 23 The same ideas have been used to explain the memory of multiple aging stages in spin glasses by Bouchaud et al, 4 who proposed a qualitative picture that derives from the droplet model of spin glasses, but satisfies also the hierarchical scenario.…”

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confidence: 59%

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

et al. 2004

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The dynamic dielectric susceptibility and the elastic compliance of the relaxor ferroelectric lanthanum lead zirconate titanate (PLZT) 9/65/35 have been measured under different cooling and heating protocols in order to study aging and memory. The memory of multiple aging stages at different temperatures has been found (several dips in the susceptibility curves on heating), as in spin glass systems below the glass transition. Remarkably, in PLZT the memory of several aging stages is retained also above the freezing temperature deduced from the dynamic susceptibilities. The results are discussed in light of the existing models of aging and memory in spin and dipolar glasses.

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confidence: 59%

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

et al. 2004

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“…The neighborhood of statistically empty and filled cavities leads to a random distortion of the crystal field in the cages. Considering this special feature of dipolar glasses, aging in the dipolar glass K 1−x Li x TaO 3 has been explained by Alberici et al 9,10 by a domain model. They assume the existence of polarization domains, i.e.…”

Section: Discussionmentioning

confidence: 99%

Aging and scaling laws inβ-hydroquinone-clathrate

2004

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The dielectric permittivity of the orientational glass methanol(x=0.73)-β-hydroquinone-clathrate has been studied as function of temperature and waiting time using different temperature-timeprotocols. We study aging, rejuvenation and memory effects in the glassy phase and discuss similarities and differences to aging in spin-glasses. We argue that the diluted methanol-clathrate, although conceptually close to its magnetic pendants, takes an intermediate character between a true spin-glass and a pure random field system.

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“…The opposite limit of an extremely slow annealing, corresponding to very long τ Q , needs a separate treatment. Surprisingly, this has not been studied in detail in the statistical physics literature with, however, some exceptions for disordered systems [4][5][6]. It has, instead, attracted a lot of attention within the cosmology and, more recently, the condensed matter communities.…”

Section: Pacs Numbersmentioning

confidence: 99%

“…Several studies have dealt with the former, see e.g. [4][5][6]. The latter have only recently received attention in connection with quantum quenches and annealing in cold atoms.…”

Section: Fig 1: (Colour Online) (A) the Control Parameter ∆G(t) = mentioning

confidence: 99%

Kibble-Zurek mechanism and infinitely slow annealing through critical points

2010

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We revisit the Kibble-Zurek mechanism by analyzing the dynamics of phase ordering systems during an infinitely slow annealing across a second order phase transition. We elucidate the time and cooling rate dependence of the typical growing length and we use it to predict the number of topological defects left over in the symmetry broken phase as a function of time, both close and far from the critical region. Our results extend the Kibble-Zurek mechanism and reveal its limitations. PACS numbers:The out of equilibrium dynamics induced by a quench are the focus of intense research [1,2]. Interesting realizations are quenches through a second order phase transition, which take the system from the symmetric phase into the symmetry broken one. Below the transition, times scaling with the system size are needed to reach equilibrium and to realize the spontaneous symmetry breaking process. Before this-typically unreachableasymptotic limit the symmetry is broken only locally: the system is formed by ordered regions of size growing with time [3]. Only when this size reaches the order of the volume of the sample the symmetry is broken globally and the spatial average of the order parameter deviates from zero. The majority of theoretical studies focused on the dynamics after infinitely rapid quenches although experimentally quenches are performed at finite speed. Indeed, since the typical time-scale on which the system evolves is its age, i.e. the time elapsed since crossing the critical point, finite quench time-scales (τ Q ) eventually become short compared to the relaxation time. Thus, they alter the out of equilibrium dynamics at short times only. The opposite limit of an extremely slow annealing, corresponding to very long τ Q , needs a separate treatment. Surprisingly, this has not been studied in detail in the statistical physics literature with, however, some exceptions for disordered systems [4][5][6]. It has, instead, attracted a lot of attention within the cosmology and, more recently, the condensed matter communities. An explanation of the slow dynamics induced by this protocol was given by the so-called Kibble-Zurek (KZ) mechanism [7][8][9][10]. This is an equilibrium scaling argument that yields an estimate for the density of topological defects left over in the ordered phase as a function of the quenching rate close to the critical point. The argument has been recently generalized to study very slow 'quantum annealing' across a quantum phase transitions in isolated systems [11][12][13].The aim of this work is to obtain a more complete picture of the slow dynamics induced by an extremely slow annealing. With numerical and analytical arguments we unveil the limitations of the KZ approach and we obtain a full scaling description of the slow dynamics. Our main result is that the dynamic evolution is characterized by a first adiabatic regime in agreement with KZ, followed by critical coarsening and, finally, standard coarsening at very long times. We find a new universal scaling function that characterizes the gro...

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Aging and domain growth inK1−xLix
F. Alberici-Kious
¹
,
J. P. Bouchaud
²
,
Leticia F. Cugliandolo
³

et al.

Cited by 22 publications

References 15 publications

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

Aging and scaling laws inβ-hydroquinone-clathrate

Kibble-Zurek mechanism and infinitely slow annealing through critical points

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Aging and domain growth inK1−xLixF. Alberici-Kious1, J. P. Bouchaud2, Leticia F. Cugliandolo3 et al.

Cited by 22 publications

References 15 publications

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

Memory of Multiple Aging Stages above the Freezing Temperature in the Relaxor Ferroelectric PLZT

Aging and scaling laws inβ-hydroquinone-clathrate

Kibble-Zurek mechanism and infinitely slow annealing through critical points

Contact Info

Product

Resources

About

Aging and domain growth inK1−xLix
F. Alberici-Kious
¹
,
J. P. Bouchaud
²
,
Leticia F. Cugliandolo
³

et al.