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Nonuniversal power-law spectra in turbulent systems

Fluid Dynamics 2015-06-16 v2

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 semi-analytical 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.

Keywords

Cite

@article{arxiv.1305.4111,
  title  = {Nonuniversal power-law spectra in turbulent systems},
  author = {Vasil Bratanov and Frank Jenko and David Hatch and Michael Wilczek},
  journal= {arXiv preprint arXiv:1305.4111},
  year   = {2015}
}

Comments

5 pages, 5 figures