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.
|Original language||English (US)|
|Number of pages||4|
|Journal||Physical review letters|
|State||Published - Jan 1 1999|
ASJC Scopus subject areas
- Physics and Astronomy(all)