(Non)-universality of vortex reconnections in superfluids

Abstract

An insight into vortex reconnections in superfluids is presented making use of analytical results and numerical simulations of the Gross--Pitaevskii model. Universal aspects of the reconnection process are investigated by considering different initial vortex configurations and making use of a recently developed tracking algorithm to reconstruct the vortex filaments. We show that during a reconnection event the vortex lines approach and separate always accordingly to the time scaling $\delta \sim t^{1/2}$ with pre-factors that depend on the vortex configuration. We also investigate the behavior of curvature and torsion close to the reconnection point, demonstrating analytically that the curvature can exhibit a self-similar behavior that might be broken by the development of shock-like structures in the torsion.

12 pages, 11 figures

References in corpus (3)

• Characterization of reconnecting vortices in superfluid helium
• Helicity conservation by flow across scales in reconnecting vortex links and knots
• Vortex reconnections in atomic condensates at finite temperature

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