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Published version

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2018-02-21

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/144812

Increasing power-law range in avalanche amplitude and energy distributions

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https://doi.org/10.1103/PhysRevE.97.022134

Abstract

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

Sistemes complexos, Materials porosos

Subject (English)

Complex systems, Porous materials

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Articles publicats en revistes (Física de la Matèria Condensada)
Articles publicats en revistes (Institut de Recerca en Sistemes Complexos (UBICS))

Citation

NAVAS PORTELLA, Víctor, et al. Increasing power-law range in avalanche amplitude and energy distributions. Physical Review e. 2018. Vol. 97, num. 2, pags. 022134. ISSN 2470-0045. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/144812

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