Rayleigh-Taylor instability and vortex rings in coupled Gross-Pitaevskii equations

Hidetsugu Sakaguchi, Hiroomi Chono

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1 Citation (Scopus)


The Rayleigh-Taylor instability is a gravitational instability in two fluids where the heavier fluid is set over the lighter fluid. The instability occurs both in classical fluids and quantum fluids. We numerically study the Rayleigh-Taylor instability using coupled Gross-Pitaevskii equations for two-component Bose-Einstein condensates. We carry out numerical simulations that the heavier component is set in a torus initially which is surrounded by the lighter component. When the torus falls, the Rayleigh-Taylor instability develops and a sagging pattern appears. This instability is investigated for the two cases with and without a vortex ring inside the torus. We find that a vortex ring suppresses the instability when the radius of the torus is small.

Original languageEnglish
Article number052222
JournalPhysical Review E
Issue number5
Publication statusPublished - Nov 28 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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