Inverse energy cascade in forced two-dimensional quantum turbulence

Matthew T. Reeves, Thomas P. Billam, Brian P Anderson, Ashton S. Bradley

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

We demonstrate an inverse energy cascade in a minimal model of forced 2D quantum vortex turbulence. We simulate the Gross-Pitaevskii equation for a moving superfluid subject to forcing by a stationary grid of obstacle potentials, and damping by a stationary thermal cloud. The forcing injects large amounts of vortex energy into the system at the scale of a few healing lengths. A regime of forcing and damping is identified where vortex energy is efficiently transported to large length scales via an inverse energy cascade associated with the growth of clusters of same-circulation vortices, a Kolmogorov scaling law in the kinetic energy spectrum over a substantial inertial range, and spectral condensation of kinetic energy at the scale of the system size. Our results provide clear evidence that the inverse energy cascade phenomenon, previously observed in a diverse range of classical systems, can also occur in quantum fluids.

Original languageEnglish (US)
Article number104501
JournalPhysical Review Letters
Volume110
Issue number10
DOIs
StatePublished - Mar 4 2013

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cascades
turbulence
vortices
kinetic energy
damping
energy
healing
scaling laws
energy spectra
condensation
grids
fluids

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Inverse energy cascade in forced two-dimensional quantum turbulence. / Reeves, Matthew T.; Billam, Thomas P.; Anderson, Brian P; Bradley, Ashton S.

In: Physical Review Letters, Vol. 110, No. 10, 104501, 04.03.2013.

Research output: Contribution to journalArticle

Reeves, Matthew T. ; Billam, Thomas P. ; Anderson, Brian P ; Bradley, Ashton S. / Inverse energy cascade in forced two-dimensional quantum turbulence. In: Physical Review Letters. 2013 ; Vol. 110, No. 10.
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