Theory of ω^(-4/3) law of the power spectrum in dissipative flows
classification
❄️ cond-mat.stat-mech
keywords
omegafrequencyspectrumdissipativeflowspowertheoryanalytic
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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.
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