Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Fitxers

886441.pdf (1.56 MB)

Tipus de document

Article

Versió

Versió publicada

Data de publicació

2024-12-20

Tots els drets reservats

Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/220925

Double power-law universal scaling function for the distribution of waiting times in labquake catalogs

Títol de la revista

Autors

Director/Tutor

ISSN de la revista

Títol del volum

Recurs relacionat

https://doi.org/10.1103/PhysRevE.110.064140

Resum

We postulate that waiting times between avalanches in self-organized critical systems are distributed according to a universal double power-law probability density. This density is defined by two critical exponents and characterizing the distribution of short (∼ − ) and long (∼ − ) waiting times, and a crossover parameter 0 that separates the two behaviors in a sharp shoulder. This crossover parameter depends on the system properties as well as on the observation conditions. It can be used as a scaling factor that transforms the distributions into a universal scaling law as proposed by Per Bak. We use experimental data from labquake catalogs (acoustic emission events) obtained during the uniaxial compression of a number of charcoal samples with different hardnesses and different energy thresholds. To obtain good fits it is essential that the catalogs are long enough to include a representative critical mixture of periods with different avalanche rates. In all the cases studied, individual maximum likelihood analysis allows the exponents and and the crossover parameter 0 to be fitted. This parameter shows a clear dependence with the energy threshold that can be explained from the Gutenberg-Richter law for the avalanche energy distributions. The observed variations of the exponents and fall within the sample-to-sample variability, which suggest that these values could be universal. We estimate mean values =0.9±0.1 and =2.0±0.3 from the full set of recorded experimental data. These values are close to the combination =1, =2, which exhibits a special mathematical cancellation of singularities.

Matèries

Fenomenologia, Terratrèmols, Sistemes complexos

Matèries (anglès)

Phenomenology, Earthquakes, Complex systems

Citació

Col·leccions

Articles publicats en revistes (Física de la Matèria Condensada)

Citació

HONGLIAN, Li, VALDÉS, Emma and VIVES I SANTA-EULÀLIA, Eduard. Double power-law universal scaling function for the distribution of waiting times in labquake catalogs. Physical Review e. 2024. Vol. 110, num. 6. ISSN 2470-0045. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/220925

Exportar metadades

JSON - METS

Compartir registre