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hal.structure.identifierÉcole normale supérieure de Lyon [ENS de Lyon]
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorPOLIZZI, S.
dc.contributor.authorPEREZ-RECHE, F.-J.
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorARNEODO, A.
hal.structure.identifierLaboratoire Ondes et Matière d'Aquitaine [LOMA]
dc.contributor.authorARGOUL, F.
dc.date.issued2021
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 mean <math><mover accent="true"><mi>a</mi><mo>¯</mo></mover></math> and variance <math><msub><mi>v</mi><mi>a</mi></msub></math>. 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 <math><mrow><mo>∈</mo><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>]</mo></mrow></math>), 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.language.isoen
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]/Analyse de données, Statistiques et Probabilités [physics.data-an]
dc.subject.halPhysique [physics]
dc.identifier.arxiv2107.08002
bordeaux.journalPhys.Rev.E
bordeaux.pageL052101
bordeaux.volume104
bordeaux.issue5
bordeaux.peerReviewedoui
hal.identifierhal-03313177
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03313177v1
bordeaux.COinSctx_ver=Z39.88-2004&amp;rft_val_fmt=info:ofi/fmt:kev:mtx:journal&amp;rft.jtitle=Phys.Rev.E&amp;rft.date=2021&amp;rft.volume=104&amp;rft.issue=5&amp;rft.spage=L052101&amp;rft.epage=L052101&amp;rft.au=POLIZZI,%20S.&amp;PEREZ-RECHE,%20F.-J.&amp;ARNEODO,%20A.&amp;ARGOUL,%20F.&amp;rft.genre=article


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