Probing equilibrium by nonequilibrium dynamics: Aging in Co/Cr superlattices

Mukherjee, Tathagata; Pleimling, Michel; Binek, Christian

doi:10.1103/physrevb.82.134425

Cited by 26 publications

(24 citation statements)

References 22 publications

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“…For spin systems, as, for example, ferromagnets or spin glasses, one of the often-used protocols, both in theoretical [1] and experimental [42,43] studies, consists of applying a (random) magnetic field at the moment of a temperature quench. This field is then removed after the waiting time and the relaxation of the system is monitored.…”

Section: Different Responsesmentioning

confidence: 99%

Aging processes in systems with anomalous slow dynamics

Afzal

Pleimling²

2013

Phys. Rev. E

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Recently, different numerical studies of coarsening in disordered systems have shown the existence of a crossover from an initial, transient, power-law domain growth to a slower, presumably logarithmic, growth. However, due to the very slow dynamics and the long-lasting transient regime, one is usually not able to fully enter the asymptotic regime when investigating the relaxation of these systems toward equilibrium. We here study two simple driven systems-the one-dimensional ABC model and a related domain model with simplified dynamicsthat are known to exhibit anomalous slow relaxation where the asymptotic logarithmic growth regime is readily accessible. Studying two-times correlation and response functions, we focus on aging processes and dynamical scaling during logarithmic growth. Using the time-dependent growth length as the scaling variable, a simple aging picture emerges that is expected to also prevail in the asymptotic regime of disordered ferromagnets and spin glasses.

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Section: Different Responsesmentioning

confidence: 99%

Aging processes in systems with anomalous slow dynamics

Afzal

Pleimling²

2013

Phys. Rev. E

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“…In this context the theoretical study of perfect, i.e. nondisordered, models has been most fruitful, see, for example, [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

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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“…As it was shown in works [17,18], the effects of slow dynamics appear in magnetic superstructures within a wide range of temperatures at TT c .…”

Section: Simulation Of Equilibrium Properties Of the Multilayer Magnementioning

confidence: 57%

“…In contrast to the bulk magnetic systems, where the slow dynamics and aging effects manifest themselves near the critical point [16], magnetic superstructures with nanoscale periodicity allow increasing the relaxation time owing to the effects related to the larger characteristic spin-spin correlation length. That is why the aging and nonergodicity effects can be experimentally observed in the multilayer Co/Cr magnetic structure [17] within a wider temperature range as compared to that for the bulk magnetic systems. We have performed in the paper [18] a numerical Monte Carlo simulation of the nonequilibrium behavior of the multilayer Co/Cr/Co magnetic structure with the thickness of Co films equals to N=3 monolayers.…”

Section: Introductionmentioning

confidence: 99%

Manifestation of aging in giant magnetoresistance of the Co/Cu/Co nanostructure

Прудников

Mamonova

et al. 2019

J. Phys. Commun.

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A Monte Carlo simulation of the non-equilibrium behavior of multilayer magnetic nanostructure Co/Cu(100)/Co consisting of alternating magnetic and nonmagnetic nanolayers is carried out. Analysis of calculated two-time autocorrelation function for structure relaxing from both hightemperature and low-temperature initial states reveals aging characterized by a slowing down of correlation characteristics with increase of the waiting time. It is shown that, in contrast to bulk magnetic systems, the aging effects in nanostructure arise not only at the ferromagnetic ordering temperature T c but also within a wide temperature range at TT c . For evolution from hightemperature initial state, the study of dependence of aging characteristics on thickness N of cobalt films reveals a weakening of the aging with increasing N at the critical temperatures T c (N) and an opposite tendency at temperatures T<T c (N) with strengthening of aging with increasing N for considered N9 ML. This phenomenon is connected with increasing correlation and relaxation times in nanostructures when temperature is decreased. For case of the low-temperature initial state, it is shown that correlation times are two-three orders of magnitude smaller than those in the evolution from a high-temperature initial state at the same t w values. In this case, time behavior of the autocorrelation function doesn't depend considerably on temperature for T s T c and thickness N of cobalt films. Simulation of transport properties in Co/Cu(100)/Co structure permitted to calculate temperature dependence of its equilibrium magnetoresistance values. For the first time, it was revealed influence of non-equilibrium behavior on the magnetoresistance with demonstration of nontrivial aging effects. It has been shown that the magnetoresistance reaches plateau in asymptotic long-time regime with values N T , d ¥ ( ), which depend on type of initial state, thickness of cobalt films, and temperature.

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Probing equilibrium by nonequilibrium dynamics: Aging in Co/Cr superlattices

Cited by 26 publications

References 22 publications

Aging processes in systems with anomalous slow dynamics

Aging processes in systems with anomalous slow dynamics

Domain growth and aging scaling in coarsening disordered systems

Manifestation of aging in giant magnetoresistance of the Co/Cu/Co nanostructure

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