1/f Noise and Long Configuration Memory in Bak-Tang-Wiesenfeld Models on Narrow Stripes
arXiv:cond-mat/9902074 · doi:10.1103/PhysRevLett.83.2449
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.
7 pages, 5 figures, Hands-on Java applets of sandpile models at http://cmth.phy.bnl.gov/~maslov/applets.htm