Generalization of the Kutta-Joukowski theorem for the hydrodynamic forces acting on a quantized vortex
arXiv:2202.06011 · doi:10.1142/S021797922050099X
Abstract
The hydrodynamic forces acting on a quantized vortex in a superfluid have long been a highly controversial issue. A new approach, originally developed in the astrophysical context of compact stars, is presented to determine these forces by considering small perturbations of the asymptotically uniform flows in the region far from the vortex in the framework of Landau-Khalatnikov two-fluid model. Focusing on the irrotational part of the flows in the Helmholtz decomposition, the classical Kutta-Joukowski theorem from ordinary hydrodynamics is thus generalized to superfluid systems. The same method is applied to predict the hydrodynamic forces acting on vortices in cold atomic condensates and superfluid mixtures.
17 pages, 2 figures
References in corpus (5)
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Transitions between turbulent and laminar superfluid vorticity states in the outer core of a neutron star
- Two-Element Mixture of Bose and Fermi Superfluids
- Superfluidity and Superconductivity in Neutron Stars
- On the Lie subalgebra of Killing-Milne and Killing-Cartan vector fields in Newtonian space-time