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| HAL : hal-00504916, version 1 |
| arXiv : 1007.3805 |
| DOI : 10.1209/0295-5075/90/50007 |
| Fiche détaillée |  Récupérer au format |
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| Europhysics Letters (EPL) 90 (2010) 50007 |
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| Revealing intermittency in experimental data with steep power spectra |
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Eric Falcon 1Stéphane G. Roux 2 |
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| (2010) |
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| The statistics of signal increments are commonly used in order to test for possible intermittent properties in experimental or synthetic data. However, for signals with steep power spectra [i.e., $E(\omega) \sim \omega^{-n}$ with $n \geq 3$], the increments are poorly informative and the classical phenomenological relationship between the scaling exponents of the second-order structure function and of the power spectrum does not hold. We show that in these conditions the relevant quantities to compute are the second or higher degree differences of the signal. Using this statistical framework to analyze a synthetic signal and experimental data of wave turbulence on a fluid surface, we accurately characterize intermittency of these data with steep power spectra. The general application of this methodology to study intermittency of experimental signals with steep power spectra is discussed. |
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| 1 : | Matière et Systèmes Complexes (MSC) |
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CNRS : UMR7057 – Université Paris VII - Paris Diderot |
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| 2 : | Laboratoire de Physique de l'ENS Lyon (Phys-ENS) |
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CNRS : UMR5672 – École Normale Supérieure - Lyon |
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| 3 : | Laboratoire Joliot Curie |
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CNRS : USR3010 – École Normale Supérieure - Lyon |
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| Domaine | : | Physique/Physique/Analyse de données, Statistiques et Probabilités Science non linéaire/Dynamique Chaotique Physique/Physique/Dynamique des Fluides Physique/Mécanique/Mécanique des fluides Sciences de l'ingénieur/Mécanique/Mécanique des fluides |
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| intermittency – steep power spectrum - structure functions - high-degree difference statistics – experimental signals – probability density function – fluctuations – Non Gaussian statistics – wave turbulence – surface waves on a fluid |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00504916, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00504916 | |
| oai:hal.archives-ouvertes.fr:hal-00504916 | |
| Contributeur : Eric Falcon | |
| Soumis le : Mercredi 21 Juillet 2010, 18:48:56 | |
| Dernière modification le : Mardi 7 Septembre 2010, 16:52:28 | |
