Simulations of the BTW model confirm the avalanche size power-law exponent is approximately 1.208 independent of topology and interaction range when the number of deposited grains is scaled appropriately with system size.
Bak--Tang--Wiesenfeld model for various topologies and ranges of interaction
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abstract
In this paper, the Bak--Tang--Wiesenfeld model for various substrate topologies and a variety of neighborhoods is reconsidered. With computer simulation, we study the distribution of avalanche sizes. Using the Z-score we confirm that independently of the substrate topology and the range of neighborhood, the exponent that governs the power law of the probability distribution of the size of avalanches is the same and approximately equal 1.208(39). However, this requires a smartly chosen number of deposited grains in relation to the linear size of the system.
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cond-mat.stat-mech 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Bak--Tang--Wiesenfeld model for various topologies and ranges of interaction
Simulations of the BTW model confirm the avalanche size power-law exponent is approximately 1.208 independent of topology and interaction range when the number of deposited grains is scaled appropriately with system size.