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

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.

arXiv comment7 pages, 5 figures, Hands-on Java applets of sandpile models at http://cmth.phy.bnl.gov/~maslov/applets.htm

References in corpus (1)

• Universal 1/f Noise from Dissipative SOC Models

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