Spectral energy transport in two-dimensional quantum vortex dynamics

Billam, T.P.; Reeves, M.T.; Bradley, A.S.

doi:10.1103/physreva.91.023615

Spectral energy transport in two-dimensional quantum vortex dynamics

Billam, T.P.; Reeves, M.T.; Bradley, A.S.

Authors

T.P. Billam

M.T. Reeves

A.S. Bradley

Abstract

We explore the possible regimes of decaying two-dimensional quantum turbulence, and elucidate the nature of spectral energy transport by introducing a dissipative point-vortex model with phenomenological vortex-sound interactions. The model is valid for a large system with weak dissipation, and also for systems with strong dissipation, and allows us to extract a meaningful and unambiguous spectral energy flux associated with quantum vortex motion. For weak dissipation and large system size we find a regime of hydrodynamic vortex turbulence in which energy is transported to large spatial scales, resembling the phenomenology of the transient inverse cascade observed in decaying turbulence in classical incompressible fluids. For strong dissipation the vortex dynamics are dominated by dipole recombination and exhibit no appreciable spectral transport of energy.

Citation

Billam, T., Reeves, M., & Bradley, A. (2015). Spectral energy transport in two-dimensional quantum vortex dynamics. Physical Review A, 91(2), Article 023615. https://doi.org/10.1103/physreva.91.023615

Journal Article Type	Article
Publication Date	Feb 17, 2015
Deposit Date	Feb 18, 2015
Publicly Available Date	Mar 9, 2015
Journal	Physical Review A
Print ISSN	1050-2947
Electronic ISSN	1094-1622
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	91
Issue	2
Article Number	023615
DOI	https://doi.org/10.1103/physreva.91.023615

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Reprinted with permission from the American Physical Society: Phys. Rev. A 91, 023615 © 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.