Emergence of very long time fluctuations and 1/f noise in ideal flows

AMS Citation:
Dmitruk, P., P. D. Mininni, A. Pouquet, S. Servidio, and W. H. Matthaeus, 2011: Emergence of very long time fluctuations and 1/f noise in ideal flows. Physical Review E, 83, 066318, doi:10.1103/PhysRevE.83.066318.
Date:2011-06-27
Resource Type:article
Title:Emergence of very long time fluctuations and 1/f noise in ideal flows
Abstract: This paper shows the connection between three previously observed but seemingly unrelated phenomena in hydrodynamic (HD) and magnetohydrodynamic (MHD) turbulent flows, involving the emergence of fluctuations occurring on very long time scales: the low-frequency 1/f noise in the power frequency spectrum, the delayed ergodicity of complex valued amplitude fluctuations in wave number space, and the spontaneous flippings or reversals of large-scale fields. Direct numerical simulations of ideal MHD and HD are employed in three space dimensions, at low resolution, for long periods of time, and with high accuracy to study several cases: different geometries, presence of rotation and/or a uniform magnetic field, and different values of the associated conserved global quantities. It is conjectured that the origin of all these long-time phenomena is rooted in the interaction of the longest wavelength fluctuations available to the system, with fluctuations at much smaller scales. The strength of this nonlocal interaction is controlled either by the existence of conserved global quantities with a back-transfer in Fourier space or by the presence of a slow manifold in the dynamics.
Peer Review:Refereed
Copyright Information:Copyright 2011 American Physical Society.
OpenSky citable URL: ark:/85065/d73r0tch
Publisher's Version: 10.1103/PhysRevE.83.066318
Author(s):
  • P. Dmitruk
  • Pablo Mininni - NCAR/UCAR
  • Annick Pouquet - NCAR/UCAR
  • S. Servidio
  • W. Matthaeus - NCAR/UCAR
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