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Phys. Rev. B 40, 7425–7427 (1989)

1/f noise, distribution of lifetimes, and a pile of sand

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Henrik Jeldtoft Jensen
Nordita, Blegdamsvej 17, DK-2100 Copenhagen, Denmark

Kim Christensen and Hans C. Fogedby
Institute of Physics, Århus University, DK-8000 Århus C, Denmark

Received 26 June 1989; published in the issue dated 1 October 1989

A connection between the distribution of lifetimes and the power spectrum is derived. It is shown that the flow of sand down the slope in the cellular automaton model, considered recently by Bak, Tang, and Wiesenfeld [Phys. Rev. Lett. 59, 381 (1987)], has a 1/f2 power spectrum in one and two dimensions. The flow over the rim of the system behaves similar to the transport in a real sand pile as measured by Jaeger, Liu, and Nagel [Phys. Rev. Lett. 62, 40 (1989)].

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.40.7425
DOI:
10.1103/PhysRevB.40.7425
PACS:
05.40.+j, 05.70.-a, 02.90.+p