Nonuniversal Power-Law Spectra in Turbulent Systems

V. Bratanov, F. Jenko, D. R. Hatch, and M. Wilczek
Phys. Rev. Lett. 111, 075001 – Published 14 August 2013

Abstract

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be observed. As a simple model for such situations, a modified version of the Kuramoto-Sivashinsky equation is studied. By means of semianalytical and numerical studies, one finds power laws with nonuniversal exponents in the spectral range for which the ratio of nonlinear and linear time scales is (roughly) scale independent.

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  • Received 17 May 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.075001

© 2013 American Physical Society

Authors & Affiliations

V. Bratanov1, F. Jenko1,2, D. R. Hatch1,3, and M. Wilczek4

  • 1Max-Planck-Institut für Plasmaphysik, EURATOM Association, 85748 Garching, Germany
  • 2Max-Planck/Princeton Center for Plasma Physics
  • 3Institute for Fusion Studies, University of Texas at Austin, Austin, Texas 78712, USA
  • 4Department of Mechanical Engineering, The Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218, USA

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Issue

Vol. 111, Iss. 7 — 16 August 2013

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