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

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

1999-02-04

arxiv.org/abs/cond-mat/9902074v1

Phys. Rev. Lett. 83, 2449 (1999).

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevLett.83.2449

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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