Power-law and log-normal avalanche size statistics in random growth processes
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
hal.structure.identifier | Laboratoire de Physique de l'ENS Lyon [Phys-ENS] | |
dc.contributor.author | POLIZZI, Stefano | |
hal.structure.identifier | University of Aberdeen | |
dc.contributor.author | PÉREZ-RECHE, Francisco-José | |
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
dc.contributor.author | ARNEODO, Alain | |
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
hal.structure.identifier | Laboratoire de Physique de l'ENS Lyon [Phys-ENS] | |
dc.contributor.author | ARGOUL, Françoise | |
dc.date.issued | 2021-11-08 | |
dc.identifier.issn | 2470-0045 | |
dc.description.abstractEn | 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. | |
dc.description.sponsorship | Analyse et modélisation temps fréquence de la rhéologie des systèmes vivants | |
dc.language.iso | en | |
dc.publisher | American Physical Society (APS) | |
dc.title.en | Power-law and log-normal avalanche size statistics in random growth processes | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1103/physreve.104.l052101 | |
dc.subject.hal | Physique [physics]/Physique [physics]/Biophysique [physics.bio-ph] | |
dc.subject.hal | Science non linéaire [physics]/Adaptation et Systèmes auto-organisés [nlin.AO] | |
dc.subject.hal | Physique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech] | |
bordeaux.journal | Physical Review E | |
bordeaux.volume | 104 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03421092 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03421092v1 | |
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