Magnus and Iordanskii Forces in Superfluids

Magnus and Iordanskii Forces in Superfluids

The total transverse force acting on a quantized vortex in a superfluid is a problem that has eluded a complete understanding for more than three decades. In this letter I propose a remarkably simple argument, somewhat reminiscent of Laughlin’s beautiful argument for the quantization of conductance in the quantum Hall effect [1], to define the superfluid velocity part of the transverse force. T...

Magnus and Other Forces on Vortices in Superfluids and Superconductors

The motion of vortices is the only significant source of dissipation in a superconductor, making it a topic of some technological importance. Much of the modern work on vortex dynamics relates to many-vortex interaction effects so it is rather surprising to find that there is still considerable debate about the forces acting on an individual vortex. This debate was sparked by the claim in paper...

Magnus Force and Aharonov-Bohm Effect in Superfluids

The paper addresses the problem of the transverse force (Magnus force) on a vortex in a Galilean invariant quantum Bose liquid. Interaction of quasiparticles (phonons) with a vortex produces an additional transverse force (Iordanskii force). The Iordanskii force is related to the acoustic Aharonov–Bohm effect. Connection of the effective Magnus force with the Berry phase is also discussed.

Magnus force in discrete and continuous two-dimensional superfluids

Iordanskii and Lifshitz-Pitaevskii Forces in the Two-Fluid Model

It has been known since the pioneering work of Onsager and Feynman that the statistical mechanics and dynamics of vortices play an essential role in the behavior of superfluids and superconductors. However, the theory of vortices in quantum fluids remains in a most unsatisfactory state, with many conflicting results in the literature. In this paper we review the theory of Thouless, Ao and Niu, ...