Nonconservative Abelian sandpile model with the Bak-Tang-Wiesenfeld toppling rule
نویسندگان
چکیده
منابع مشابه
Interoccurrence times in the Bak-Tang-Wiesenfeld sandpile model: a comparison with the observed statistics of solar flares.
A sequence of bursts observed in an intermittent time series may be caused by a single avalanche, even though these bursts appear as distinct events when noise and/or instrument resolution impose a detection threshold. In the Bak-Tang-Wiesenfeld sandpile, the statistics of quiet times between bursts switches from Poissonian to scale invariant on raising the threshold for detecting instantaneous...
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We study an inhomogeneous sandpile model in which two different toppling rules are defined. For any site only one rule is applied corresponding to either the Bak, Tang, and Wiesenfeld model [P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)] or the Manna two-state sandpile model [S. S. Manna, J. Phys. A 24, L363 (1991)]. A parameter c is introduced which describes a density of...
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We consider the Bak-Tang-Wiesenfeld sandpile model on a two-dimensional square lattice. The avalanche cluster distributions are measured on very large system sizes (L 4096). We introduce a new method for analyzing the data which reduces the nite-size eeects of the measurements. A detailed analysis of the determination of the exponents characterizing the size, area and duration of the avalanches...
متن کاملThe infinite volume limit of dissipative Abelian sandpiles
We construct the thermodynamic limit of the stationary measures of the Bak-Tang-Wiesenfeld sandpile model with a dissipative toppling matrix (sand grains may disappear at each toppling). We prove uniqueness and mixing properties of this measure and we obtain an infinite volume ergodic Markov process leaving it invariant. We show how to extend the Dhar formalism of the ‘abelian group of toppling...
متن کامل1 f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes
We report our findings of a 1 f power spectrum for the total amount of sand in directed and undirected Bak-Tang-Wiesenfeld models confined to narrow stripes and driven locally. The underlying mechanism for the 1 f noise in these systems is an exponentially long configuration memory giving rise to a very broad distribution of time scales. Both models are solved analytically with the help of an o...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2000
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.62.7797