Magnus Force in Discrete and Continuous Two-Dimensional Superfluids
Superconductivity
2007-05-23 v2
Abstract
Motion of vortices in two-dimensional superfluids in the classical limit is studied by solving the Gross-Pitaevskii equation numerically on a uniform lattice. We find that, in the presence of a superflow directed along one of the main lattice periods, vortices move with the superflow on fine lattices but perpendicular to it on coarse ones. We interpret this result as a transition from the full Magnus force in the Galilean-invariant limit to vanishing effective Magnus force in a discrete system, in agreement with the existing experiments on vortex motion in Josephson junction arrays.
Cite
@article{arxiv.cond-mat/0503717,
title = {Magnus Force in Discrete and Continuous Two-Dimensional Superfluids},
author = {Z. Gecse and S. Khlebnikov},
journal= {arXiv preprint arXiv:cond-mat/0503717},
year = {2007}
}
Comments
6 pages, 7 figures; published in Phys. Rev. B