Bottleneck crossover between classical and quantum superfluid turbulence

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dc.creatorL'vov, Victor S.
dc.creatorNazarenko, Sergei V.
dc.creatorRudenko, Oleksii
dc.date2006-12-08
dc.date2007-06-25
dc.date.accessioned2026-07-07T12:43:03Z
dc.date.available2026-07-07T12:43:03Z
dc.descriptionWe consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g. towed grid or rotation but not by counterflow. We argue that such turbulence consists of a {\em polarized} tangle of mutually interacting vortex filaments with quantized vorticity. For this system we predict and describe a bottleneck accumulation of the energy spectrum at the classical-quantum crossover scale $\ell$. Demanding the same energy flux through scales, the value of the energy at the crossover scale should exceed the Kolmogorov-41 spectrum by a large factor $\ln^{10/3} (\ell/a_0)$ ($\ell$ is the mean intervortex distance and $a_0$ is the vortex core radius) for the classical and quantum spectra to be matched in value. One of the important consequences of the bottleneck is that it causes the mean vortex line density to be considerably higher that based on K41 alone, and this should be taken into account in (re)interpretation of new (and old) experiments as well as in further theoretical studies.
dc.description9 pages, 2 figure, 2 appendixes. Extended in accordance with referees comments and other scientific discussions. Moved from PRL to PRB
dc.identifierhttps://arxiv.org/abs/nlin/0612018
dc.identifierhttp://arxiv.org/abs/nlin/0612018
dc.identifierPhysical Review B 76, 024520 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.024520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220287
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectFluid Dynamics
dc.titleBottleneck crossover between classical and quantum superfluid turbulence
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