Theory of ${\omega }^{-4/3}$ law of the power spectrum in dissipative flows

Abstract

It is demonstrated that ${\omega }^{-4/3}$ law of the power spectrum with the angular frequency $\omega$ in dissipative flows is produced by the emission of dispersive waves from the antikink of an congested domain. The analytic theory predicts the spectrum is proportional to ${\omega }^{-2}$ for relatively low frequency and ${\omega }^{-4/3}$ for high frequency.

arXiv comment11 pages, 2 figures

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Cited by in corpus (1)

• Fluctuation of the Top Location and Avalanches in the Formation Process of a Sandpile