Interevent Correlations from Avalanches Hiding Below the Detection Threshold

Janićević, Sanja; Laurson, Lasse; Måløy, Knut Jørgen; Santucci, Stéphane; Alava, Mikko J.

doi:10.1103/physrevlett.117.230601

Cited by 52 publications

(79 citation statements)

References 46 publications

(87 reference statements)

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“…Ultimately, the question of which mechanism is responsible for the empirical observations of interevent correlations in a given system should be tested in each case, e.g., by employing our scaling predictions as discussed after Eq. (1) of our Letter [1], since various mechanisms including inertial effects or viscoelasticity [11] could also play a role.…”

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confidence: 81%

“…Janićević et al Reply: Recently, we proposed a general mechanism leading to power-law distributed waiting times separating avalanches measured in a crackling-noise signal, due to their detection procedure [1]. We demonstrated its applicability for experimental and numerical data on intermittent crack front dynamics.…”

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confidence: 87%

“…Based on the results of our Letter [1], we show in Fig. 1 how the cutoffs T 0 and T W;0 of the avalanche duration and waiting time distributions, respectively, evolve with the threshold level V th .…”

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confidence: 99%

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“…Petermann et al (2009) compared results for different thresholds in LFPs time series and found that exponent values remain unchanged, suggesting the existence of a truly scale-invariant organization of events. However, a word of caution is still required as recent works have underlined the "perils" associated with thresholding, which in some controlled cases has been shown to generate spurious effects such as effective exponent values and correlations in the timings of consecutive avalanches (Font-Clos et al, 2015;Janićević et al, 2016;Laurson et al, 2009). Further clarifying this issue is key to make solid progress in the empirical analysis of avalanching systems.…”

Section: The Edge Of Activity Propagation: Avalanchesmentioning

confidence: 99%

Colloquium: Criticality and dynamical scaling in living systems

2018

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A celebrated and controversial hypothesis suggests that some biological systems -parts, aspects, or groups of them-may extract important functional benefits from operating at the edge of instability, halfway between order and disorder, i.e. in the vicinity of the critical point of a phase transition. Criticality has been argued to provide biological systems with an optimal balance between robustness against perturbations and flexibility to adapt to changing conditions, as well as to confer on them optimal computational capabilities, huge dynamical repertoires, unparalleled sensitivity to stimuli, etc. Criticality, with its concomitant scale invariance, can be conjectured to emerge in living systems as the result of adaptive and evolutionary processes that, for reasons to be fully elucidated, select for it as a template upon which further layers of complexity can rest. This hypothesis is very suggestive as it proposes that criticality could constitute a general and common organizing strategy in biology stemming from the physics of phase transitions. However, despite its thrilling implications, this is still in its embryonic state as a well-founded theory and, as such, it has elicited some healthy skepticism. From the experimental side, the advent of high-throughput technologies has created new prospects in the exploration of biological systems, and empirical evidence in favor of criticality has proliferated, with examples ranging from endogenous brain activity and gene-expression patterns, to flocks of birds and insect-colony foraging, to name but a few. Some pieces of evidence are quite remarkable, while in some other cases empirical data are limited, incomplete, or not fully convincing. More stringent experimental set-ups and theoretical analyses are certainly needed to fully clarify the picture. In any case, the time seems ripe for bridging the gap between this theoretical conjecture and its empirical validation. Given the profound implications of shedding light on this issue, we believe that it is both pertinent and timely to review the state of the art and to discuss future strategies and perspectives. Appendix A: Generic Scale invariance 23 Appendix B: Probabilistic models and statistical criticality 24 Appendix C: Adaptation and evolution towards criticality 24 Appendix D: Other putatively critical living systems 25 References 25 arXiv:1712.04499v2 [cond-mat.stat-mech]

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“…For example, correlations have been observed in stick-slip models with dissipation [76,80], yet they were shown not to be a consequence of event-event triggering but a consequence of slow temporal variations in the Poisson intensity or synchronization [81]. Power-law waiting times can also be artificially constructed by a non-quasistatic driving and a thresholding of the activity [82][83][84], without requiring the involvement of any triggering or aftershock process. Event-event triggering or aftershock sequences and the associated temporal correlations are commonly reproduced by introducing additional temporal scales affecting the propagation of the avalanches, without requiring to break the quasistatic condition.…”

Section: B the Generalized Viscoelastic Dfbmmentioning

confidence: 99%

Universal avalanche statistics and triggering close to failure in a mean-field model of rheological fracture

Ardanuy

Davidsen

2018

Phys. Rev. E

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The hypothesis of critical failure relates the presence of an ultimate stability point in the structural constitutive equation of materials to a divergence of characteristic scales in the microscopic dynamics responsible for deformation. Avalanche models involving critical failure have determined common universality classes for stick-slip processes and fracture. However, not all empirical failure processes exhibit the trademarks of criticality. The rheological properties of materials introduce dissipation, usually reproduced in conceptual models as a hardening of the coarse grained elements of the system. Here, we investigate the effects of transient hardening on (i) the activity rate and (ii) the statistical properties of avalanches. We find the explicit representation of transient hardening in the presence of generalized viscoelasticity and solve the corresponding mean-field model of fracture. In the quasistatic limit, the accelerated energy release is invariant with respect to rheology and the avalanche propagation can be reinterpreted in terms of a stochastic counting process. A single universality class can be defined from such analogy, and all statistical properties depend only on the distance to criticality. We also prove that interevent correlations emerge due to the hardening-even in the quasistatic limit-that can be interpreted as "aftershocks" and "foreshocks."

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Interevent Correlations from Avalanches Hiding Below the Detection Threshold

Cited by 52 publications

References 46 publications

Janićević et al. Reply:

Janićević et al. Reply:

Colloquium: Criticality and dynamical scaling in living systems

Universal avalanche statistics and triggering close to failure in a mean-field model of rheological fracture

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