Energy and vorticity spectra in turbulent superfluid 4He from T=0 to Tλ

Laurent Boué, Victor S. L'vov, Yotam Nagar, Sergey V. Nazarenko, Anna Pomyalov, Itamar Procaccia

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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≃2.17K. 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 crossover 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 observations for ν′(T).

Original languageEnglish
Article number144501
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number14
StatePublished - 1 Apr 2015
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Energy and vorticity spectra in turbulent superfluid 4He from T=0 to Tλ'. Together they form a unique fingerprint.

Cite this