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Quantum turbulence
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=== Decay of quantum turbulence === Stemming from the different signatures, Kolmogorov and Vinen turbulence follow power laws relating to their temporal decay. For the Kolmogorov regime, after removing the forcing which sustains the turbulence in a statistical steady-state, a decay of <math>E(t) \sim t^{-2}</math> for the energy and <math>L(t) \sim t^{-3/2}</math> for the vortex line density (defined as the vortex length per unit volume) are observed. Vinen turbulence decays temporally at a slower rate than Kolmogorov turbulence: the energy decays as <math>E(t) \sim t^{-1}</math> and the vortex line density as <math>L(t) \sim t^{-1}</math>.
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