Power-law and log-normal avalanche size statistics in random growth processes
| Autor: | Stefano Polizzi, Alain Arneodo, Françoise Argoul, Francisco J. Pérez-Reche |
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| Přispěvatelé: | École normale supérieure - Lyon (ENS Lyon), Laboratoire Ondes et Matière d'Aquitaine (LOMA), Université de Bordeaux (UB)-Centre National de la Recherche Scientifique (CNRS), École normale supérieure de Lyon (ENS de Lyon), Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, University of Aberdeen, École normale supérieure de Lyon (ENS de Lyon)-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), ANR-18-CE45-0012,RHEOLIFE,Analyse et modélisation temps fréquence de la rhéologie des systèmes vivants(2018) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Scale (ratio)
[PHYS.PHYS.PHYS-BIO-PH]Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph] FOS: Physical sciences 01 natural sciences Power law Computer Science::Digital Libraries 010305 fluids & plasmas 0103 physical sciences Statistics Growth rate Physics - Biological Physics [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics [NLIN.NLIN-AO]Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO] Condensed Matter - Statistical Mechanics Mathematics [PHYS]Physics [physics] Stationary distribution Statistical Mechanics (cond-mat.stat-mech) Variance (accounting) Biological Physics (physics.bio-ph) Physics - Data Analysis Statistics and Probability Log-normal distribution Exponent Probability distribution Data Analysis Statistics and Probability (physics.data-an) [PHYS.PHYS.PHYS-DATA-AN]Physics [physics]/Physics [physics]/Data Analysis Statistics and Probability [physics.data-an] |
| Zdroj: | Phys.Rev.E Phys.Rev.E, 2021, 104 (5), pp.L052101. ⟨10.1103/PhysRevE.104.L052101⟩ Physical Review E Physical Review E, American Physical Society (APS), 2021, 104, ⟨10.1103/physreve.104.l052101⟩ Physical Review E, 2021, 104, ⟨10.1103/physreve.104.l052101⟩ |
| ISSN: | 2470-0045 2470-0053 |
| DOI: | 10.1103/PhysRevE.104.L052101⟩ |
| Popis: | 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 a and variance va. 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 in (1, 3]), or instead to a non-stationary 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 analytical results. The latter show that the numerically observed avalanche regimes exist for a wide family of growth rate distributions and provide a precise definition of the boundaries between the three regimes. 5 pages, 3 figures |
| Databáze: | OpenAIRE |
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