Vortex lattices generated by the Kelvin-Helmholtz instability in the Gross-Pitaevskii equation

A. Ohta, R. Kashiwa, Hidetsugu Sakaguchi

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    Vortex streets are formed from sheared initial conditions in classical fluids even without viscosity, which is called the Kelvin-Helmholtz instability. We demonstrate that similar vortex streets are generated from sheared initial conditions by the direct numerical simulation of the Gross-Pitaevskii (GP) equation which describes the dynamics of the Bose-Einstein condensates. Furthermore, we show the vortex-lattice formation from sheared initial conditions analogous to the rigid-body rotation in the GP equation under a rotating harmonic potential. The vortex-lattice formation by the dynamical instability in the system without energy dissipation differs from the vortex-lattice formation process by the imaginary time evolution of the GP equation where the lowest energy state is obtained.

    Original languageEnglish
    Article number055602
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume82
    Issue number5
    DOIs
    Publication statusPublished - Dec 6 2010

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    Kelvin-Helmholtz instability
    vortex streets
    vortices
    rigid structures
    direct numerical simulation
    Bose-Einstein condensates
    energy dissipation
    viscosity
    harmonics
    fluids
    energy

    All Science Journal Classification (ASJC) codes

    • Atomic and Molecular Physics, and Optics

    Cite this

    Vortex lattices generated by the Kelvin-Helmholtz instability in the Gross-Pitaevskii equation. / Ohta, A.; Kashiwa, R.; Sakaguchi, Hidetsugu.

    In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 82, No. 5, 055602, 06.12.2010.

    Research output: Contribution to journalArticle

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