POLIZZI, Stefano; PÉREZ-RECHE, Francisco-José; ARNEODO, Alain; ARGOUL, Françoise

doi:10.1103/physreve.104.l052101

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POLIZZI, Stefano
Laboratoire Ondes et Matière d'Aquitaine [LOMA]
Laboratoire de Physique de l'ENS Lyon [Phys-ENS]

PÉREZ-RECHE, Francisco-José
University of Aberdeen

ARNEODO, Alain
Laboratoire Ondes et Matière d'Aquitaine [LOMA]

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Ce document a été publié dans

Physical Review E. 2021-11-08, vol. 104

American Physical Society (APS)

Résumé en anglais

We study the avalanche statistics observed in a minimal random growth model. The growth is governed by a reproduction rate obeying a probability distribution with finite meanā and variance v a. These two control parameters determine if the avalanche size tends to a stationary distribution (finite scale statistics with finite mean and variance, or power-law tailed statistics with exponent ∈ (1, 3]), or instead to a nonstationary regime with log-normal statistics. Numerical results and their statistical analysis are presented for a uniformly distributed growth rate, which are corroborated and generalized by mathematical results. The latter show that the numerically observed avalanche regimes exist for a wide family of growth rate distributions, and they provide a precise definition of the boundaries between the three regimes.< Réduire

DOI

http://dx.doi.org/10.1103/physreve.104.l052101

Project ANR

Analyse et modélisation temps fréquence de la rhéologie des systèmes vivants

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Laboratoire Ondes et Matière d'Aquitaine (LOMA) - UMR 5798