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Energy spectra and characteristic scales of quantum turbulence investigated by numerical simulations of the two-fluid model

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Quantum turbulence at finite temperature (within the framework of the two-fluid model) exibits an “anormal” distribution of kinetic energy of its superfluid component at scales larger than the inter-vortex distance. This anormal behavior is consistent with a thermalization of superfluid excitations at small scales. An original phenomenological argument allows us to predict explicitly the extension of the thermalization range. It is predicted that this extension is independent of the Reynolds number, and scales as the inverse square root of the normal fluid fraction. The prediction is well supported by high-resolution pseudo-spectral simulations of the two fluid-model.

Author(s):

Philippe-E Roche    
CNRS
France

Emmanuel Lévêque    
CNRS
France