Substantiated explanations of the unpredictability regarding sandpile models of self-organized criticality (SOC) gave way to efficient forecasts of extremes in a few models. The appearance of extremes requires a preparation phase that ends with general overloading of the system and spatial clustering of the local stress. Here, we relate the predictability of large events to the system volume in the Manna and Bak–Tang–Wiesenfeld sandpiles, which are basic models of SOC. We establish that in the Manna model, the events located to the right of the power-law segment of the size-frequency relationship are predictable and the prediction efficiency is described by the universal linear dependence on the event size scaled by a power-law function of the lattice volume. Our scaling-based approach to predictability contributes to the theory of SOC and may elucidate the forecast of extremes in the dynamics of such systems with SOC as neuronal networks and earthquakes.
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August 2022
Research Article|
August 18 2022
Universal predictability of large avalanches in the Manna sandpile model
Alexander Shapoval
;
Alexander Shapoval
a)
(Conceptualization, Formal analysis, Methodology, Supervision, Writing – original draft, Writing – review & editing)
1
Department of Mathematics and Computer Science of the University of Łódż
, Banacha 22, Łódż 90-238, Poland
a)Author to whom correspondence should be addressed: [email protected]
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Dayana Savostianova;
Dayana Savostianova
(Data curation, Formal analysis, Investigation, Visualization)
2
Gran Sasso Science Institute
, Crispi 7, 67100 L’Aquila, Italy
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Mikhail Shnirman
Mikhail Shnirman
(Conceptualization, Investigation, Supervision, Validation, Writing – review & editing)
3
Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
, Profsoyuznaya 84/32, 117997 Moscow, Russia
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Alexander Shapoval
1,a)
Dayana Savostianova
2
Mikhail Shnirman
3
1
Department of Mathematics and Computer Science of the University of Łódż
, Banacha 22, Łódż 90-238, Poland
2
Gran Sasso Science Institute
, Crispi 7, 67100 L’Aquila, Italy
3
Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
, Profsoyuznaya 84/32, 117997 Moscow, Russia
a)Author to whom correspondence should be addressed: [email protected]
Chaos 32, 083130 (2022)
Article history
Received:
June 06 2022
Accepted:
July 21 2022
Citation
Alexander Shapoval, Dayana Savostianova, Mikhail Shnirman; Universal predictability of large avalanches in the Manna sandpile model. Chaos 1 August 2022; 32 (8): 083130. https://doi.org/10.1063/5.0102019
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