The saturation of decaying counterflow turbulence in helium II

Details The saturation of decaying counterflow turbulence in helium II The saturation of decaying counterflow turbulence in helium II

2010-08-25

arxiv.org/abs/1008.4378v1

Physical Review B 82, 134531 (2010)

Physics

Condensed Matter

Other Condensed Matter

19 pages, 5 figures

Scientific paper

We are concerned with the problem of the decay of a tangle of quantized vortices in He II generated by a heat current. Direct application of Vinen's equation yields the temporal scaling of vortex line density $L \sim t^{-1}$. Schwarz and Rozen [Phys. Rev. Lett. {\bf 66}, 1898 (1991); Phys. Rev. B {\bf 44}, 7563 (1991)] observed a faster decay followed by a slower decay. More recently, Skrbek and collaborators [Phys. Rev. E {\bf 67}, 047302 (2003)] found an initial transient followed by the same classical $t^{-3/2}$ scaling observed in the decay of grid-generated turbulence. We present a simple theoretical model which, we argue, contains the essential physical ingredients, and accounts for these apparently contradictory results.

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