Increasing power-law range in avalanche amplitude and energy distributions

Víctor Navas-Portella, Isabel Serra, Álvaro Corral, Eduard Vives

    Research output: Contribution to journalArticleResearchpeer-review

    8 Citations (Scopus)

    Abstract

    © 2018 American Physical Society. 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.
    Original languageEnglish
    Article number022134
    JournalPhysical Review E
    Volume97
    Issue number2
    DOIs
    Publication statusPublished - 21 Feb 2018

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