Phys. Rev. Lett. 83, 2449–2452 (1999)1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow StripesReceived 5 February 1999; published in the issue dated 20 September 1999 We report our findings of a 1/f 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 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.2449
DOI:
10.1103/PhysRevLett.83.2449
PACS:
05.65.+b, 05.40.Ca, 05.45.-a, 45.70.Ht
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