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Energy and vorticity spectra in turbulent superfluid He4 from T=0toTλ
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Boué, Laurent, L'vov, Victor S., Nagar, Yotam, Nazarenko, Sergey, Pomyalov, Anna and Procaccia, Itamar (2015) Energy and vorticity spectra in turbulent superfluid He4 from T=0toTλ. Physical Review B (Condensed Matter and Materials Physics), 91 (14). 144501 . doi:10.1103/PhysRevB.91.144501
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WRAP-energy-vorticity-spectra-turbulent-superfluid-Nazarenko-2016.pdf - Accepted Version - Requires a PDF viewer. Download (1033Kb) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevB.91.144501
Abstract
We discuss the energy and vorticity spectra of turbulent superfluid 4He in the entire temperature range from T = 0 up to the phase transition “λ point”, Tλ ≃ 2.17 K. Contrary to classical developed turbulence in which there are only two typical scales, i.e. the energy injection L and the dissipation scales η, here the quantization of vorticity introduces two additional scales, the vortex core radius a0 and the mean vortex spacing ℓ. We present these spectra for the super- and the normal-fluid
components in the entire range of scales from L to a0 including the cross-over scale ℓ where the hydrodynamic eddy-cascade is replaced by the cascade of Kelvin waves on individual vortices. At this scale a bottleneck accumulation of the energy was found earlier at T = 0. We show that even very small mutual friction dramatically suppresses the bottleneck effect due to the dissipation of the Kelvin waves. Using our results for the spectra we estimate the Vinen “effective viscosity” ν
′ in the entire temperature range and show agreement with numerous experimental observation for ν′ (T ).
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Superfluidity, Turbulence | ||||||
| Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||||
| Publisher: | American Physical Society | ||||||
| ISSN: | 1098-0121 | ||||||
| Official Date: | 1 April 2015 | ||||||
| Dates: |
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| Volume: | 91 | ||||||
| Number: | 14 | ||||||
| Article Number: | 144501 | ||||||
| DOI: | 10.1103/PhysRevB.91.144501 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Copyright Holders: | ©2015 American Physical Society |
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