Abstract
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) |
|---|---|
| Pages (from-to) | 2449-2452 |
| Number of pages | 4 |
| Journal | Physical review letters |
| Volume | 83 |
| Issue number | 12 |
| DOIs | |
| State | Published - Jan 1 1999 |
| Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy(all)