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Helicity and topology of a small region of quantum vorticity

Lookup NU author(s): Mae Mesgarnezhad, Dr Andrew BaggaleyORCiD, Professor Carlo Barenghi



This is the authors' accepted manuscript of an article that has been published in its final definitive form by IOP Publishing , 2018.

For re-use rights please refer to the publisher's terms and conditions.


We numerically study the evolution of a small turbulent region of quantised vorticity in superfluid helium, a regime which can be realised in the laboratory. We show that the turbulence achieves a fluctuating steady-state in terms of dynamics (energy), geometry (length, writhing) and topology (linking). After defining the knot spectrum, we show that, at any instant, the turbulence consists of many unknots and few large loops of great geometrical and topological complexity.

Publication metadata

Author(s): Mesgarnezhad M, Cooper RG, Baggaley AW, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Fluid Dynamics Research

Year: 2018

Volume: 50

Issue: 1

Print publication date: 01/02/2018

Online publication date: 22/11/2017

Acceptance date: 27/03/2017

Date deposited: 25/05/2017

ISSN (print): 0169-5983

ISSN (electronic): 1873-7005

Publisher: IOP Publishing


DOI: 10.1088/1873-7005/aa694f


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