Bottleneck crossover between classical and quantum superfluid turbulence

V.S. L'vov, S. Nazarenko, O. Rudenko

    Research output: Contribution to journalArticleAcademicpeer-review

    120 Citations (Scopus)
    88 Downloads (Pure)

    Abstract

    We 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 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 l. Demanding the same energy flux through scales, the value of the energy at the crossover scale should exceed the Kolmogorov-41 (K41) spectrum by a large factor ln10/3(l/a0) (l is the mean intervortex distance and a0 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 than 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.
    Original languageEnglish
    Article number024520
    Pages (from-to)024520-1/9
    Number of pages9
    JournalPhysical Review B
    Volume76
    Issue number2
    DOIs
    Publication statusPublished - 2007

    Fingerprint Dive into the research topics of 'Bottleneck crossover between classical and quantum superfluid turbulence'. Together they form a unique fingerprint.

    Cite this