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Vortex-density fluctuations in quantum turbulence

Lookup NU author(s): Dr Andrew Baggaley, Professor Carlo Barenghi

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Abstract

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.


Publication metadata

Author(s): Baggaley AW, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Physical Review B

Year: 2011

Volume: 84

Issue: 2

Print publication date: 20/07/2011

ISSN (print): 1098-0121

ISSN (electronic): 1550-235X

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevB.84.020504

DOI: 10.1103/PhysRevB.84.020504


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