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

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

2000-05-25

arxiv.org/abs/cond-mat/0005438v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, conference proceeding for Quantum Fluids and Solids 2000

Scientific paper

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, which gives an expression for the total transverse force acting on a quantized vortex that is in apparent disagreement with the work of Iordanskii and of Lifshitz and Pitaevskii. In particular, no transverse force proportional to the asymptotic normal fluid velocity was found. We use two-fluid hydrodynamics to study this discrepancy.

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