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Magnus Force in Discrete and Continuous Two-Dimensional Superfluids

Z. Gecse·S. Khlebnikov
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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.

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Z. Gecse, S. Khlebnikov. 2005-10-12. Magnus Force in Discrete and Continuous Two-Dimensional Superfluids. https://doi.org/10.1103/physrevb.72.054525

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