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Phys. Rev. A 46, R4475–R4478 (1992)

Statistical signatures of self-organization

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Kevin P. O’Brien and M. B. Weissman
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

Received 29 June 1992; published in the issue dated October 1992

A simple method for testing whether broadband noise comes from driven dynamical effects (rather than equilibrium fluctuations) is described. Asymmetrical higher-order time correlation functions can violate detailed balance, providing a key signature of dynamical effects. Simulations of a one-dimensional sandpile model are used for an initial illustration. Also, a hitherto unreported phenomenon—growth of the non-Gaussian nature of the statistics with system size—is found and attributed to the presence of correlations on the scale of the whole system.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.46.R4475
DOI:
10.1103/PhysRevA.46.R4475
PACS:
05.70.Ln, 05.40.+j