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Power-law and log-normal avalanche size statistics in random growth processes

hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
hal.structure.identifierLaboratoire de Physique de l'ENS Lyon [Phys-ENS]
dc.contributor.authorPOLIZZI, Stefano
hal.structure.identifierUniversity of Aberdeen
dc.contributor.authorPÉREZ-RECHE, Francisco-José
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorARNEODO, Alain
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
hal.structure.identifierLaboratoire de Physique de l'ENS Lyon [Phys-ENS]
dc.contributor.authorARGOUL, Françoise
dc.date.issued2021-11-08
dc.identifier.issn2470-0045
dc.description.abstractEnWe 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.sponsorshipAnalyse et modélisation temps fréquence de la rhéologie des systèmes vivants
dc.language.isoen
dc.publisherAmerican Physical Society (APS)
dc.title.enPower-law and log-normal avalanche size statistics in random growth processes
dc.typeArticle de revue
dc.identifier.doi10.1103/physreve.104.l052101
dc.subject.halPhysique [physics]/Physique [physics]/Biophysique [physics.bio-ph]
dc.subject.halScience non linéaire [physics]/Adaptation et Systèmes auto-organisés [nlin.AO]
dc.subject.halPhysique [physics]/Matière Condensée [cond-mat]/Mécanique statistique [cond-mat.stat-mech]
bordeaux.journalPhysical Review E
bordeaux.volume104
bordeaux.peerReviewedoui
hal.identifierhal-03421092
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03421092v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Physical%20Review%20E&rft.date=2021-11-08&rft.volume=104&rft.eissn=2470-0045&rft.issn=2470-0045&rft.au=POLIZZI,%20Stefano&P%C3%89REZ-RECHE,%20Francisco-Jos%C3%A9&ARNEODO,%20Alain&ARGOUL,%20Fran%C3%A7oise&rft.genre=article


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