1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes

Sergei Maslov, Chao Tang, and Yi-Cheng Zhang
Phys. Rev. Lett. 83, 2449 – Published 20 September 1999
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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.

  • Received 5 February 1999

DOI:https://doi.org/10.1103/PhysRevLett.83.2449

©1999 American Physical Society

Authors & Affiliations

Sergei Maslov1, Chao Tang2, and Yi-Cheng Zhang3

  • 1Department of Physics, Brookhaven National Laboratory, Upton, New York 11973
  • 2NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540
  • 3Institut de Physique Théorique, Université de Fribourg, Fribourg CH-1700, Switzerland

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Vol. 83, Iss. 12 — 20 September 1999

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