Spectral energy transport in two-dimensional quantum vortex dynamics

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

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
• Public URL: https://durham-repository.worktribe.com/output/1436623