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Bottleneck crossover between classical and quantum superfluid turbulence
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L'vov, Victor S., Nazarenko, Sergey and Rudenko, Oleksii (2007) Bottleneck crossover between classical and quantum superfluid turbulence. Physical Review B, Vol.76 (No.2). Article: 024520. doi:10.1103/PhysRevB.76.024520 ISSN 1098-0121.
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Official URL: http://dx.doi.org/10.1103/PhysRevB.76.024520
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 center dot. 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 ln(10/3)(center dot/a(0)) (center dot 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 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.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QC Physics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Physical Review B | ||||
| Publisher: | American Physical Society | ||||
| ISSN: | 1098-0121 | ||||
| Official Date: | July 2007 | ||||
| Dates: |
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| Volume: | Vol.76 | ||||
| Number: | No.2 | ||||
| Number of Pages: | 9 | ||||
| Page Range: | Article: 024520 | ||||
| DOI: | 10.1103/PhysRevB.76.024520 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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