Characteristics of Two-Dimensional Quantum Turbulence in a Compressible Superfluid

Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry. Here we study two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate in an annular trap. As a compressible quantum fluid, this system affords a r...

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Bibliographic Details
Published in:arXiv.org 2012-04
Main Authors: Neely, T W, Bradley, A S, Samson, E C, Rooney, S J, Wright, E M, Law, K J H, Carretero-González, R, Kevrekidis, P G, Davis, M J, Anderson, B P
Format: Article
Language:English
Subjects:
Acoustic coupling
Clustering
Compressibility
Computational fluid dynamics
Computer simulation
Confining
Dependence
Energy spectra
Fluid flow
Fluids
Incompressible flow
Phenomenology
Quantum turbulence
Superfluidity
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Summary:Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry. Here we study two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate in an annular trap. As a compressible quantum fluid, this system affords a rich phenomenology, allowing coupling between vortex and acoustic energy. Small-scale stirring generates an experimentally observed disordered vortex distribution that evolves into large-scale flow in the form of a persistent current. Numerical simulation of the experiment reveals additional characteristics of two-dimensional quantum turbulence: spontaneous clustering of same-circulation vortices, and an incompressible energy spectrum with \(k^{-5/3}\) dependence for low wavenumbers \(k\) and \(k^{-3}\) dependence for high \(k\).
ISSN:2331-8422
DOI:10.48550/arxiv.1204.1102