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

Hidetsugu Sakaguchi, Hiroomi Chono

Research output: Contribution to journalArticle

Abstract

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
Volume96
Issue number5
DOIs
Publication statusPublished - Nov 28 2017

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Vortex Ring
Gross-Pitaevskii Equation
vortex rings
Taylor instability
Rayleigh
fluids
rings
Torus
Fluid
gravitational instability
Bose-Einstein condensates
Bose-Einstein Condensate
radii
Radius
Numerical Simulation
simulation

All Science Journal Classification (ASJC) codes

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

Cite this

Rayleigh-Taylor instability and vortex rings in coupled Gross-Pitaevskii equations. / Sakaguchi, Hidetsugu; Chono, Hiroomi.

In: Physical Review E, Vol. 96, No. 5, 052222, 28.11.2017.

Research output: Contribution to journalArticle

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