English

1/f noise in turbulent flows

Fluid Dynamics 2016-06-01 v1

Abstract

We report the experimental observation of 1/f1/f fluctuations in three different turbulent flow configurations: the large scale velocity driven by a two-dimensional turbulent flow, the magnetic field generated by a turbulent swirling flow of liquid sodium and the pressure fluctuations due to vorticity filaments in a swirling flow. For these three systems, 1/f1/f noise is shown to result from the dynamics of coherent structures that display transitions between a small number of states. The interevent duration is distributed as a power-law. The exponent of this power-law and the nature of the dynamics (transition between symmetric states or asymmetric ones) select the exponent of the 1/f1/f fluctuations.

Keywords

Cite

@article{arxiv.1605.09666,
  title  = {1/f noise in turbulent flows},
  author = {Johann Herault and François Pétrélis and Stephan Fauve},
  journal= {arXiv preprint arXiv:1605.09666},
  year   = {2016}
}

Comments

10 pages, 9 figures published in Journal of Statistical Physics (2015)