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1.
1/x distribution in a close proximity of the Bak-Tang-Wiesenfeld sandpile
Alexander Shapoval, other performed works

Keywords: sandpile, scale-free distribution, power-law
Published in RUNG: 09.07.2021; Views: 1944; Downloads: 0
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2.
Sand density as sandpile descriptor
Alexander Shapoval, M. Shnirman, 2008, original scientific article

Keywords: sandpile, critical density, power law exponent
Published in RUNG: 19.04.2021; Views: 2057; Downloads: 0
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3.
Crossover phenomenon and universality: from random walk to deterministic sand-piles through random sand-piles
Alexander Shapoval, M. Shnirman, 2005, original scientific article

Keywords: sandpile, universality class, power-law exponent
Published in RUNG: 19.04.2021; Views: 1982; Downloads: 0
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4.
Randomness and a step-like distribution of pile heights in avalanche models
Alexander Shapoval, M. Shnirman, 2007, original scientific article

Keywords: sandpile, critical density
Published in RUNG: 19.04.2021; Views: 1885; Downloads: 0
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5.
The BTW mechanism on a self-similar image of a square : a path to unexpected exponents
Alexander Shapoval, M. Shnirman, 2012, original scientific article

Keywords: sandpile, power-law probability distribution, universality class
Published in RUNG: 19.04.2021; Views: 1800; Downloads: 0
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6.
A dissipative deterministic BTW model with an activation scenario of strong events
Alexander Shapoval, M. Shnirman, 2009, original scientific article

Keywords: sandpile, earthquake prediction, extremes
Published in RUNG: 19.04.2021; Views: 1829; Downloads: 0
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7.
Scaling properties of strong avalanches in sand-pile
Alexander Shapoval, M. Shnirman, 2005, original scientific article

Keywords: sandpile, distribution, finite-size scaling
Published in RUNG: 19.04.2021; Views: 1718; Downloads: 0
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8.
How size of target avalanches influences prediction efficiency
Alexander Shapoval, M. Shnirman, 2004, original scientific article

Abstract: Bak, Tang, and Wiesenfeld [Phys. Rev. Lett.59, 381 (1987)] introduced their sand-pile (BTW sand-pile) as the cellular automata coming to their critical state without tuning any inner model parameters. The main model features deal with grains falling slowly onto the two-dimensional lattice and a quick deterministic transport of the superfluous grains to the boundary. The simplest modifications of the BTW sand-pile develop a random transport mechanism instead of a deterministic one. The model transportation of the grains generates avalanches. We find that before the big avalanches the height of the pile increases and the singular grains organize themselves in special clusters. These observations lead to the formal algorithm that predicts the big avalanches in advance with a certain efficiency. However the efficiency for the BTW sand-pile is worse than that for its stochastic modifications.
Keywords: sandpile, prediction, avalanches
Published in RUNG: 19.04.2021; Views: 1613; Downloads: 0
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9.
Strong events in the sand-pile model
Alexander Shapoval, M. Shnirman, 2004, original scientific article

Abstract: Here is a sand-pile introduced by Bak et al. The system accumulates particles one by one. From time to time it topples. Every toppling initiates an event. The distribution of the events' size follows a power law for all the events except the strongest ones. The fraction of the strongest events does not depend on the system length. The number of particles and their clustering increase before the strongest events.
Keywords: sandpile, prediction, power-law
Published in RUNG: 19.04.2021; Views: 1691; Downloads: 0
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10.
Self-organized criticality on self-similar lattice : exponential time distribution between extremes
Dayana Mukhametshina, Alexander Shapoval, M. Shnirman, 2019, published scientific conference contribution

Keywords: sandpile, power-law, waiting time distribution
Published in RUNG: 07.04.2021; Views: 1913; Downloads: 55
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