Statistics of power injection in a plate set into chaotic vibration - ENSTA Paris - École nationale supérieure de techniques avancées Paris Access content directly
Journal Articles The European Physical Journal B: Condensed Matter and Complex Systems Year : 2008

Statistics of power injection in a plate set into chaotic vibration

Olivier Cadot
Cyril Touzé

Abstract

A vibrating plate is set into a chaotic state of wave turbulence by either a periodic or a random local forcing. Correlations between the forcing and the local velocity response of the plate at the forcing point are studied. Statistical models with fairly good agreement with the experiments are proposed for each forcing. Both distributions of injected power have a logarithmic cusp for zero power, while the tails are Gaussian for the periodic driving and exponential for the random one. The distributions of injected work over long time intervals are investigated in the framework of the fluctuation theorem, also known as the Gallavotti-Cohen theorem. It appears that the conclusions of the theorem are verified only for the periodic, deterministic forcing. Using independent estimates of the phase space contraction, this result is discussed in the light of available theoretical framework.
Fichier principal
Vignette du fichier
OCABCT.pdf (2.89 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01637690 , version 1 (17-11-2017)

Identifiers

Cite

Olivier Cadot, Arezki Boudaoud, Cyril Touzé. Statistics of power injection in a plate set into chaotic vibration. The European Physical Journal B: Condensed Matter and Complex Systems, 2008, 66 (3), pp.399-407. ⟨10.1140/epjb/e2008-00431-3⟩. ⟨hal-01637690⟩
459 View
130 Download

Altmetric

Share

Gmail Facebook X LinkedIn More