Vortex-density fluctuations in quantum turbulence

Baggaley, A.W. and Barenghi, C.F. (2011) Vortex-density fluctuations in quantum turbulence. Physical Review B, 84(2), 020504. (doi: 10.1103/PhysRevB.84.020504)

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Turbulence in the low-temperature phase of liquid helium is a complex state in which a viscous normal fluid interacts with an inviscid superfluid. In the former vorticity consists of eddies of all sizes and strengths; in the latter vorticity is constrained to quantized vortex lines. We compute the frequency spectrum of superfluid vortex density fluctuations and obtain the same f−5/3 scaling that has been recently observed. We show that the scaling can be interpreted in terms of the spectrum of reconnecting material lines. To perform this calculation we have developed a vortex tree algorithm which considerably speeds up the evaluation of Biot-Savart integrals.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baggaley, Dr Andrew
Authors: Baggaley, A.W., and Barenghi, C.F.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Physical Review B
Publisher:American Physical Society

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