Universal and nonuniversal aspects of vortex reconnections in superfluids

Alberto Villois; Davide Proment; Giorgio Krstulovic

doi:10.1103/PhysRevFluids.2.044701

Universal and nonuniversal aspects of vortex reconnections in superfluids

Alberto Villois, Davide Proment, Giorgio Krstulovic

Department of Physics

Research output: Contribution to journal › Article › peer-review

52 Citations (SciVal)

Abstract

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 according to the time scaling δ∼t1/2 with prefactors 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 shocklike structures in the torsion.

Original language	English
Article number	044701
Journal	Physical Review Fluids
Volume	2
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevFluids.2.044701
Publication status	Published - 4 Apr 2017

Funding

The authors were supported by the Royal Society and the Centre National de la Recherche Scientifique through the International Exchanges Cost Share Scheme (Reference No. IE150527). Computations were carried out on the Mésocentre SIGAMM hosted at the Observatoire de la Côte d'Azur and on the High Performance Computing Cluster supported by the Research and Specialist Computing Support service at the University of East Anglia. The authors acknowledge Marc Brachet, Robert Kerr, Sergey Nazarenko, Cecilia Rorai, and Hayder Salman for the fruitful discussions during the Statistics of Extreme and Singular Events in Spatially Extended Systems workshop funded by the Warwick EPSRC mathematics symposium on Fluctuation-Driven phenomena and Large Deviations. APPENDIX A:

ASJC Scopus subject areas

Computational Mechanics
Modelling and Simulation
Fluid Flow and Transfer Processes

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10.1103/PhysRevFluids.2.044701

Cite this

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Universal and nonuniversal aspects of vortex reconnections in superfluids

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