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1.
1/x distribution in a close proximity of the Bak-Tang-Wiesenfeld sandpile
Alexander Shapoval, druga izvedena dela

Ključne besede: sandpile, scale-free distribution, power-law
Objavljeno v RUNG: 09.07.2021; Ogledov: 1887; Prenosov: 0
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2.
Sand density as sandpile descriptor
Alexander Shapoval, M. Shnirman, 2008, izvirni znanstveni članek

Ključne besede: sandpile, critical density, power law exponent
Objavljeno v RUNG: 19.04.2021; Ogledov: 2013; Prenosov: 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, izvirni znanstveni članek

Ključne besede: sandpile, universality class, power-law exponent
Objavljeno v RUNG: 19.04.2021; Ogledov: 1950; Prenosov: 0
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4.
Randomness and a step-like distribution of pile heights in avalanche models
Alexander Shapoval, M. Shnirman, 2007, izvirni znanstveni članek

Ključne besede: sandpile, critical density
Objavljeno v RUNG: 19.04.2021; Ogledov: 1844; Prenosov: 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, izvirni znanstveni članek

Ključne besede: sandpile, power-law probability distribution, universality class
Objavljeno v RUNG: 19.04.2021; Ogledov: 1758; Prenosov: 0
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6.
A dissipative deterministic BTW model with an activation scenario of strong events
Alexander Shapoval, M. Shnirman, 2009, izvirni znanstveni članek

Ključne besede: sandpile, earthquake prediction, extremes
Objavljeno v RUNG: 19.04.2021; Ogledov: 1782; Prenosov: 0
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7.
Scaling properties of strong avalanches in sand-pile
Alexander Shapoval, M. Shnirman, 2005, izvirni znanstveni članek

Ključne besede: sandpile, distribution, finite-size scaling
Objavljeno v RUNG: 19.04.2021; Ogledov: 1669; Prenosov: 0
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8.
How size of target avalanches influences prediction efficiency
Alexander Shapoval, M. Shnirman, 2004, izvirni znanstveni članek

Opis: 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.
Ključne besede: sandpile, prediction, avalanches
Objavljeno v RUNG: 19.04.2021; Ogledov: 1584; Prenosov: 0
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9.
Strong events in the sand-pile model
Alexander Shapoval, M. Shnirman, 2004, izvirni znanstveni članek

Opis: 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.
Ključne besede: sandpile, prediction, power-law
Objavljeno v RUNG: 19.04.2021; Ogledov: 1663; Prenosov: 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, objavljeni znanstveni prispevek na konferenci

Ključne besede: sandpile, power-law, waiting time distribution
Objavljeno v RUNG: 07.04.2021; Ogledov: 1871; Prenosov: 55
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