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Two-dimensional model of interactions between thermal quasiparticles and tubulent structures in
^{3}
He-B
Lookup NU author(s)
Professor Yuri Sergeev
Professor Carlo Barenghi
Dr Nugzar Suramlishvili
Dr Peter Van Dijk
Author(s)
Sergeev YA, Barenghi CF, Suramlishvili N, van Dijk PJ
Publication type
Article
Journal
Europhysics Letters
Year
2010
Volume
90
Issue
5
Pages
ISSN (print)
0295-5075
ISSN (electronic)
1286-4854
Full text is available for this publication:
Full text file 1
Using the two-dimensional model, we compute the ensemble average Andreev reflection coefficient of a flux of thermal quasiparticles in 3He-B incident upon the system of point vortices, each moving in the flow field generated by all other vortex points. In the case where the initial positions of all point vortices are random, such a vortex gas can be regarded as a (somewhat crude) two-dimensional model of a real, three-dimensional vortex tangle. On the other hand, in the case where vortices and antivortices are arranged in pairs, a random system of such pairs models, in two dimensions, a gas of three-dimensional vortex rings. Of particular interest is the change of the average Andreev reflection coefficient with the transition from a gas of vortex-antivortex pairs to a random system of point vortices. Our study is particularly motivated by the experimental observation at Lancaster University of the transition from a gas of vortex rings to a dense tangle. The question which we ask is whether a gas of vortex rings and a dense tangle have a different Andreev signature. We found that, due to the partial screening, a transition from the gas of vortex-antivortex pairs to the random point vortex gas is associated with the several-fold increase of the reflection coefficient. We note that these results, although consistent with observations at Lancaster, should be regarded as qualitative rather than quantitative.
Publisher
EDP Sciences
URL
http://dx.doi.org/10.1209/0295-5075/90/56003
DOI
10.1209/0295-5075/90/56003
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