Power-law and log-normal avalanche size statistics in random growth processes
hal.structure.identifier | École normale supérieure de Lyon [ENS de Lyon] | |
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
dc.contributor.author | POLIZZI, S. | |
dc.contributor.author | PEREZ-RECHE, F.-J. | |
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
dc.contributor.author | ARNEODO, A. | |
hal.structure.identifier | Laboratoire Ondes et Matière d'Aquitaine [LOMA] | |
dc.contributor.author | ARGOUL, F. | |
dc.date.issued | 2021 | |
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 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.iso | en | |
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]/Analyse de données, Statistiques et Probabilités [physics.data-an] | |
dc.subject.hal | Physique [physics] | |
dc.identifier.arxiv | 2107.08002 | |
bordeaux.journal | Phys.Rev.E | |
bordeaux.page | L052101 | |
bordeaux.volume | 104 | |
bordeaux.issue | 5 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-03313177 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-03313177v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Phys.Rev.E&rft.date=2021&rft.volume=104&rft.issue=5&rft.spage=L052101&rft.epage=L052101&rft.au=POLIZZI,%20S.&PEREZ-RECHE,%20F.-J.&ARNEODO,%20A.&ARGOUL,%20F.&rft.genre=article |
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