A matching theory to characterize sound emission during vortex reconnection in quantum fluids
arXiv:2005.02047 · doi:10.1103/PhysRevFluids.5.104701
Abstract
In a concurrent work, Villois et al. 2020 reported the evidence that vortex reconnections in quantum fluids follow an irreversible dynamics, namely vortices separate faster than they approach; such time-asymmetry is explained by using simple conservation arguments. In this work we develop further these theoretical considerations and provide a detailed study of the vortex reconnection process for all the possible geometrical configurations of the order parameter (superfluid) wave function. By matching the theoretical description of incompressible vortex filaments and the linear theory describing locally vortex reconnections, we determine quantitatively the linear momentum and energy exchanges between the incompressible (vortices) and the compressible (density waves) degrees of freedom of the superfluid. We show theoretically and corroborate numerically, why a unidirectional density pulse must be generated after the reconnection process and why only certain reconnecting angles, related to the rates of approach and separations, are allowed. Finally, some aspects concerning the conservation of centre-line helicity during the reconnection process are discussed.
arXiv comment17 pages, 12 figures
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Cited by in corpus (5)
- Irreversible dynamics of vortex reconnections in quantum fluids
- Topological transition from superuid vortex rings to isolated knots and links
- Kolmogorov and Kelvin wave cascades in a generalized model for quantum turbulence
- Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
- Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations