Journal
PHYSICAL REVIEW E
Volume 97, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.97.022134
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Funding
- Spanish Ministry of Economy and Competitiveness (Spain) [MDM-2014-0445]
- Spanish Ministry of Economy and Competitiveness [FIS2015-71851-P, MAT2013-40590-P]
- Proyecto Redes de Excelencia Grant [MAT2015-69777-REDT]
- Agencia de Gestio d'Ajuts Universitaris i de Recerca (AGAUR) [2014SGR-1307]
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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.
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