Magnus force in discrete and continuous two-dimensional superfluids

Journal Article · Mon Aug 01 04:00:00 EDT 2005 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.72.054525· OSTI ID:20719301

Gecse, Z; Khlebnikov, S ^[1]

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1. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)

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.

• OSTI ID: 20719301
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 5 Vol. 72; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
SUPERFLUIDITY
TWO-DIMENSIONAL CALCULATIONS
VORTICES
WAVE EQUATIONS