Origin of the inverse energy cascade in two-dimensional quantum turbulence

Audun Skaugen; Luiza Angheluta

doi:10.1103/physreve.95.052144

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arXiv · 1610.04382

Origin of the inverse energy cascade in two-dimensional quantum turbulence

Audun Skaugen·Luiza Angheluta

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Abstract

We establish a statistical relationship between the inverse energy cascade and the spatial correlations of clustered vortices in two-dimensional quantum turbulence. The Kolmogorov spectrum $k^{-5/3}$ on inertial scales $r$ corresponds to a pair correlation function between the vortices with different signs that decays as a power law with the pair distance given as $r^{-4/3}$. To test these scaling relations, we propose a novel forced and dissipative point vortex model that captures the turbulent dynamics of quantized vortices by the emergent clustering of same-sign vortices. The inverse energy cascade developing in a statistically neutral system originates from this vortex clustering that evolves with time.

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Audun Skaugen, Luiza Angheluta. 2017-05-10. Origin of the inverse energy cascade in two-dimensional quantum turbulence. https://doi.org/10.1103/physreve.95.052144

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