Dynamics of two-dimensional vortex pairs in a spatially varying potential

HH Lee, John Gunn

Research output: Contribution to journalArticle

1 Citation (Scopus)


We consider the dynamics of vortices in a superfluid He-4 film flowing over a substrate at zero temperature. The vortex trajectories are assumed to be governed by the Magnus-force equation with the effect of the substrate incorporated via the gradient of a potential. We use an equivalent Hamiltonian formulation to show that two vortices in a slowly varying potential can exhibit stochastic behavior. In this regard, there are differences between the cases of two vortices of the same sign and those of the opposite sign, the latter becoming stochastic more readily.
Original languageEnglish
Pages (from-to)8336-8343
Number of pages8
JournalPhysical Review B
Issue number13
Publication statusPublished - 1 Oct 1992


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