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.
In this case, the sites with high columnsh(i) = K − 1 are separated by too long distances, and avalanches involving a lot of grains are rather rare
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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.