Scale invariant avalanches: a critical confusion
ORAL
Abstract
In the last decades considerable efforts have been devoted to understanding single events related to friction, fracture and unjamming transition, commonly denominated avalanches. However, in many different natural scenarios -from subcritical fracture to earthquake dynamics- these events are of all scales; a situation that has often been interpreted within the formalism of critical phenomena, and having as a relevant consequence the inherently unpredictability of scale-invariant avalanches. A revision of this interpretation which departs from standard ideas is presented here, resulting in [1]: (i) critical systems are not necessarily unpredictable; (ii) slowly driven systems evolving through power-law distributed avalanches are not necessarily critical; and (iii) scale-invariant avalanches are not necessarily unpredictable. Simple simulations and granular experiments [2] confirm the findings. \\[4pt] [1] O. Ramos, Scale invariant avalanches: a critical confusion; in B. Veress and J. Szigethy (eds.) Horizons in Earth Science Research. Vol. 3 (Nova Science Publishers) pp 157-188 (2011) arXiv:1104.4991v1. \\[0pt] [2] O. Ramos, E. Altshuler, and K. J. M{\aa}l{\o}y, Avalanche prediction in a self-organized pile of beads, Phys. Rev. Lett. 102, 078701 (2009).
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Authors
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Osvanny Ramos
Laboratoire PMCN, University Lyon 1, 43 bd. du 11 novembre 1918, 69622 Villeurbanne, France