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

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. {copyright} {ital 1999} {ital The American Physical Society}

Authors:
 [1];  [2];  [3]
  1. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)
  2. NEC Research Institute, 4 Independence Way, Princeton, New Jersey 08540 (United States)
  3. Institut de Physique Theorique, Universite de Fribourg, Fribourg CH-1700 (Switzerland)
Publication Date:
OSTI Identifier:
686488
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 83; Journal Issue: 12; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; SAND; GRANULAR MATERIALS; NOISE; DYNAMICS

Citation Formats

Maslov, S., Tang, C., and Zhang, Y. 1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes. United States: N. p., 1999. Web. doi:10.1103/PhysRevLett.83.2449.
Maslov, S., Tang, C., & Zhang, Y. 1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes. United States. doi:10.1103/PhysRevLett.83.2449.
Maslov, S., Tang, C., and Zhang, Y. Wed . "1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes". United States. doi:10.1103/PhysRevLett.83.2449.
@article{osti_686488,
title = {1/f Noise in Bak-Tang-Wiesenfeld Models on Narrow Stripes},
author = {Maslov, S. and Tang, C. and Zhang, Y.},
abstractNote = {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. {copyright} {ital 1999} {ital The American Physical Society}},
doi = {10.1103/PhysRevLett.83.2449},
journal = {Physical Review Letters},
number = 12,
volume = 83,
place = {United States},
year = {1999},
month = {9}
}