Helicity in superfluids: Existence and the classical limit

2017/08/31 by Hridesh Kedia, Dustin Kleckner, Martin W. Scheeler +1 · 13 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Helicity #Limit (mathematics) #Magnetic confinement fusion research #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Semiclassical physics #Superfluidity #Vortex #cond-mat.quant-gas #physics.atom-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physrevfluids.3.104702

published in Physical Review Fluids 3(10) (American Physical Society)

openalex publication_date 2018/10/18 · arxiv created 2018/10/22 · arxiv updated 2018/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The analog of hydrodynamic helicity in superfluids is zero for all flows. A semiclassical limit is found in the link and writhe of bundles of superfluid vortices. Numerical simulations show that the dynamics of semiclassical helicity closely resemble those seen in experiments in viscous fluids.

Citations

• How superfluid vortex knots untie
• Reconnection of Superfluid Vortex Bundles
• The Euler Equations of Compressible Fluid Flow
• Introduction to magnetic helicity
• Self-Linking and the Gauss Integral in Higher Dimensions
• Hamiltonian description of the ideal fluid
• Hamiltonian Fluid Mechanics
• The Writhing Number of a Space Curve
• On isotopy classes of three dimmensional knots and their invariants
• Quantum Turbulence

Cited by

• Helical fluid and (Hall)-MHD turbulence: a brief review