Onsager-Kraichnan condensation in decaying two-dimensional quantum turbulence

Billam, T. P., Reeves, M. T., Anderson, B. P. and Bradley, A. S. (2014) Onsager-Kraichnan condensation in decaying two-dimensional quantum turbulence. Physical Review Letters, 112 14: . doi:10.1103/PhysRevLett.112.145301

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Author Billam, T. P.
Reeves, M. T.
Anderson, B. P.
Bradley, A. S.
Title Onsager-Kraichnan condensation in decaying two-dimensional quantum turbulence
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 1079-7114
Publication date 2014-04-11
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.112.145301
Open Access Status File (Publisher version)
Volume 112
Issue 14
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
Despite the prominence of Onsager’s point-vortex model as a statistical description of 2D classical turbulence, a first-principles development of the model for a realistic superfluid has remained an open problem. Here we develop a mapping of a system of quantum vortices described by the homogeneous 2D Gross-Pitaevskii equation (GPE) to the point-vortex model, enabling Monte Carlo sampling of the vortex microcanonical ensemble. We use this approach to survey the full range of vortex states in a 2D superfluid, from the vortex-dipole gas at positive temperature to negative-temperature states exhibiting both macroscopic vortex clustering and kinetic energy condensation, which we term an Onsager-Kraichnan condensate (OKC). Damped GPE simulations reveal that such OKC states can emerge dynamically, via aggregation of small-scale clusters into giant OKC clusters, as the end states of decaying 2D quantum turbulence in a compressible, finite-temperature superfluid. These statistical equilibrium states should be accessible in atomic Bose-Einstein condensate experiments.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ
Additional Notes Article number 145301

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 35 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 35 times in Scopus Article | Citations
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Created: Mon, 12 Jun 2017, 11:22:38 EST by Matt Reeves on behalf of Learning and Research Services (UQ Library)