Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff

Details Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff Scanning Superfluid-Turbulence Cascade by Its Low-Temperature Cutoff

2007-10-24

arxiv.org/abs/0710.4572v2

Phys. Rev. Lett. 100, 195302 (2008)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 figures, v2: extended introduction, the controversy with the scenario by L'vov et al. [13] is discussed in conclusi

Scientific paper

10.1103/PhysRevLett.100.195302

On the basis of recently proposed scenario of the transformation of the Kolmogorov cascade into the Kelvin-wave cascade, we develop a theory of low-temperature cutoff. The theory predicts a specific behavior of the quantized vortex line density, $L$, controlled by the frictional coefficient, $\alpha(T) \ll 1$, responsible for the cutoff. The curve $\ln L(\ln \alpha)$ is found to directly reflect the structure of the cascade, revealing four qualitatively distinct wavenumber regions. Excellent agreement with recent experiment by Walmsley {\it et al.} [arXiv:0710.1033]--in which $L(T)$ has been measured down to $T \sim 0.08 $K--implies that the scenario of low-temperature superfluid turbulence is now experimentally validated, and allows to quantify the Kelvin-wave cascade spectrum.

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