Record dynamics and the observed temperature plateau in the magnetic creep-rate of type-II superconductors

Oliveira, Luís Pereira de; Nicodemi, Mario; Sibani, Paolo

doi:10.1103/physrevb.71.104526

Cited by 51 publications

(83 citation statements)

References 54 publications

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“…Interesting analytic results have been obtained for the RB statistics of the sequences of independent identically distributed (IID) random variables for a randomly sampled stationary process [16][17][18]. In physics the statistics of records has been applied to understand correlated processes emerging in various types of random walks [19][20][21], superconductors [22], domain wall dynamics in spin glasses [23], and in chaotic processes [24]. The record statistics of crackling noise have also been studied recently in models exhibiting self organized criticality (SOC) [18] and in a mean-field model of fracture [25].…”

Section: Introductionmentioning

confidence: 99%

Record-breaking events during the compressive failure of porous materials

et al. 2016

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An accurate understanding of the interplay between random and deterministic processes in generating extreme events is of critical importance in many fields, from forecasting extreme meteorological events to the catastrophic failure of materials and in the Earth. Here we investigate the statistics of record-breaking events in the time series of crackling noise generated by local rupture events during the compressive failure of porous materials. The events are generated by computer simulations of the uniaxial compression of cylindrical samples in a discrete element model of sedimentary rocks that closely resemble those of real experiments. The number of records grows initially as a decelerating power law of the number of events, followed by an acceleration immediately prior to failure. The distribution of the size and lifetime of records are power laws with relatively low exponents. We demonstrate the existence of a characteristic record rank k * , which separates the two regimes of the time evolution. Up to this rank deceleration occurs due to the effect of random disorder. Record breaking then accelerates towards macroscopic failure, when physical interactions leading to spatial and temporal correlations dominate the location and timing of local ruptures. The size distribution of records of different ranks has a universal form independent of the record rank. Subsequences of events that occur between consecutive records are characterized by a power-law size distribution, with an exponent which decreases as failure is approached. High-rank records are preceded by smaller events of increasing size and waiting time between consecutive events and they are followed by a relaxation process. As a reference, surrogate time series are generated by reshuffling the event times. The record statistics of the uncorrelated surrogates agrees very well with the corresponding predictions of independent identically distributed random variables, which confirms that temporal and spatial correlation in the crackling noise is responsible for the observed unique behavior. In principle the results could be used to improve forecasting of catastrophic failure events, if they can be observed reliably in real time.

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Section: Introductionmentioning

confidence: 99%

Record-breaking events during the compressive failure of porous materials

et al. 2016

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“…It has been studied for decades from different perspectives , with the experimental focus moving, over the years, from relations such as the Fluctuation-Dissipation theorem and its violation [1,2] on to the discovery, observation and study of the 'anomalous' non-equilibrium events [3][4][5][6][7]18] now recognized as key properties. Concomitantly, theoretical and numerical studies have also considered anomalous events [8][9][10], and spin-glass thermoremanent magnetization [11], magnetic flux creep in type-II high-T c superconductors [12], ants moving out of their nest [16] and particle motion in dense colloids [20][21][22] have been interpreted using the statistics of 'quakes'. These increasingly rare cooperative changes are spatially localized within domains or clusters and lead the system from one metastable states to the next.…”

Section: Introductionmentioning

confidence: 99%

Record dynamics: Direct experimental evidence from jammed colloids

Robe¹,

Boettcher²,

Sibani³

et al. 2016

EPL

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In a broad class of complex materials a quench leads to a multi-scaled relaxation process known as aging. To explain its commonality and the astounding insensitivity to most microscopic details, record dynamics (RD) posits that a small set of increasingly rare and irreversible events, so called quakes, controls the dynamics. While key predictions of RD are known to concur with a number of experimental and simulational results, its basic assumption on the nature of quake statistics has proven extremely difficult to verify experimentally. The careful distinction of rare ("record") cage-breaking events from in-cage rattle accomplished in previous experiments on jammed colloids, enables us to extract the first direct experimental evidence for the fundamental hypothesis of RD that the rate of quakes decelerates with the inverse of the system age. The resulting description shows the predicted growth of the particle mean square displacement and of a mesoscopic lengthscale with the logarithm of time.

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“…Recently, the extreme event studies have been developed using various approaches, such as the density of states [3,4], firstpassage and return-time statistics [6][7][8], persistence [9], interoccurrence time statistics [10][11][12] and record statistics [13][14][15]. Among them, there has been considerable interest in investigating the record statistics, which has found many fruitful applications in diverse complex systems, such as spin glasses [16,17], adaptive processes [18], domain wall dynamics [19], avalanche dynamics [20], stock prices [21,22], global warming [23,24], growing network [25], high-temperature superconductors [26], the ant movements dynamics [27], flood dynamics [28], sport statistics [29,30], earthquakes [31,32], and evolutionary biology [33,34].…”

Section: Introductionmentioning

confidence: 99%

Records in fractal stochastic processes

Aliakbari

Manshour

Salehi

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

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The records statistics in stationary and non-stationary fractal time series is studied extensively. By calculating various concepts in record dynamics, we find some interesting results. In stationary fractional Gaussian noises, we observe a universal behavior for the whole range of Hurst exponents. However, for non-stationary fractional Brownian motions the record dynamics is crucially dependent on the memory, which plays the role of a non-stationarity index, here. Indeed, the deviation from the results of the stationary case increases by increasing the Hurst exponent in fractional Brownian motions. We demonstrate that the memory governs the dynamics of the records as long as it causes non-stationarity in fractal stochastic processes, otherwise, it has no impact on the records statistics.

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Record dynamics and the observed temperature plateau in the magnetic creep-rate of type-II superconductors

Cited by 51 publications

References 54 publications

Record-breaking events during the compressive failure of porous materials

Record-breaking events during the compressive failure of porous materials

Record dynamics: Direct experimental evidence from jammed colloids

Records in fractal stochastic processes

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