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Matching theory to characterize sound emission during vortex reconnection in quantum fluids

Davide Proment

Giorgio Krstulovic

  • School of Mathematics, University of East Anglia, Norwich Research Park, Norwich NR4 7TJ, United Kingdom

  • Université Côte d'Azur, Observatoire de la Côte d'Azur, CNRS, Laboratoire Lagrange, Bd de l'Observatoire, CS 34229, 06304 Nice cedex 4, France

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Phys. Rev. Fluids 5, 104701 – Published 15 October, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.104701

Abstract

In a concurrent work, Villois et al. [Phys. Rev. Lett. 125, 164501 (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 center-line helicity during the reconnection process are discussed.

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Irreversible Dynamics of Vortex Reconnections in Quantum Fluids

Alberto Villois, Davide Proment, and Giorgio Krstulovic
Phys. Rev. Lett. 125, 164501 (2020)

Article Text

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Outline

Information

Phys. Rev. Fluids 5, 104701– Published 15 October, 2020
  • Received 7 May 2020
  • Accepted 22 September 2020
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