Title:
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Increasing power-law range in avalanche amplitude and energy distributions
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Author:
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Navas Portella, Víctor; Serra, Isabel; Corral, Álvaro; Vives i Santa-Eulàlia, Eduard
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Other authors:
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Universitat de Barcelona |
Abstract:
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Power-law-type probability density functions spanning several orders of magnitude are found for different avalanche properties. We propose a methodology to overcome empirical constraints that limit the range of truncated power-law distributions. By considering catalogs of events that cover different observation windows, the maximum likelihood estimation of a global power-law exponent is computed. This methodology is applied to amplitude and energy distributions of acoustic emission avalanches in failure-under-compression experiments of a nanoporous silica glass, finding in some cases global exponents in an unprecedented broad range: 4.5 decades for amplitudes and 9.5 decades for energies. In the latter case, however, strict statistical analysis suggests experimental limitations might alter the power-law behavior. |
Subject(s):
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-Sistemes complexos -Materials porosos -Complex systems -Porous materials |
Rights:
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(c) American Physical Society, 2018
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Document type:
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Article Article - Published version |
Published by:
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American Physical Society
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