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 a 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.
Published in:
Physical Review B 72,5 (2005) 054525;
Link to original published article:
http://dx.doi.org/10.1103/PhysRevB.72.054525
Keywords
vortex dynamics;; spectral flow
Date of Version
January 2005
Recommended Citation
Gecse, Z. and Khlebnikov, S., "Magnus force in discrete and continuous two-dimensional superfluids" (2005). Department of Physics and Astronomy Faculty Publications. Paper 158.
https://docs.lib.purdue.edu/physics_articles/158