Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes
Open Access
- 20 September 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (12) , 2449-2452
- https://doi.org/10.1103/physrevlett.83.2449
Abstract
We report our findings of a 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 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 operator algebra to explicitly show the appearance of the long configuration memory.
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