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1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes

Sergei Maslov·Chao Tang·Yi-Cheng Zhang
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Abstract

We report our findings of an 1/f power spectrum for the total amount of sand in directed and undirected Bak-Tang-Wiesenfeld models confined on 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 operator algebra to explicitly show the appearance of the long configuration memory.

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Sergei Maslov, Chao Tang, Yi-Cheng Zhang. 1999-02-04. 1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes. https://doi.org/10.1103/physrevlett.83.2449

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