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arxiv: 1302.6317 · v2 · submitted 2013-02-26 · ❄️ cond-mat.other · hep-th· math-ph· math.MP

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Scale invariance and superfluid turbulence

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classification ❄️ cond-mat.other hep-thmath-phmath.MP
keywords observedsuperfluidtheoryturbulenceanalyticallybiot-savartconstructderiving
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We construct a Schroedinger field theory invariant under local spatial scaling. It is shown to provide an effective theory of superfluid turbulence by deriving, analytically, the observed Kolmogorov 5/3 law and to lead to a Biot-Savart interaction between the observed filament excitations of the system as well.

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