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

Hisao Hayakawa
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Abstract

It is demonstrated that $ω^{-4/3}$ law of the power spectrum with the angular frequency $ω$ 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 $ω^{-2}$ for relatively low frequency and $ω^{-4/3}$ for high frequency.

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Hisao Hayakawa. 2005-03-08. Theory of $ω^{-4/3}$ law of the power spectrum in dissipative flows. https://doi.org/10.1103/physreve.72.031102

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