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Saturation of decaying counterflow turbulence in helium II

Lookup NU author(s): Dr Michele Sciacca, Emeritus Professor Yuri Sergeev, Professor Carlo Barenghi



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 similar to t(-1). Schwarz and Rozen [Phys. Rev. Lett. 66, 1898 (1991); Phys. Rev. B 44, 7563 (1991)] observed a faster decay followed by a slower decay. More recently, Skrbek et al. [Phys. Rev. E 67, 047302 (2003)] found an initial transient followed by the same classical t(-3/2) scaling as 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.

Publication metadata

Author(s): Sciacca M, Sergeev YA, Barenghi CF, Skrbek L

Publication type: Article

Publication status: Published

Journal: Physical Review B: Condensed Matter and Materials Physics

Year: 2010

Volume: 82

Issue: 13

Print publication date: 01/10/2010

Date deposited: 18/11/2013

ISSN (print): 1098-0121

ISSN (electronic): 1550-235X

Publisher: American Physical Society


DOI: 10.1103/PhysRevB.82.134531


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Funder referenceFunder name
Instituto Nazionale di Alta Matematica
F/00125/AHLeverhulme Trust
MS 0021620834