Pressure-induced vortex rings multiplication as a source of vorticity in superfluids

I. A. Pshenichnyuk

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    A modified version of the Gross-Pitaevskii equation (GPE) combined with the Newton equation is used to model the propagation of a heavy particle through a quantum fluid. In the considered process, the particle, moving with an initial velocity, creates a vortex ring excitation in the fluid. A subsequent change of pressure, which appears because of the interaction of the particle with a sound wave, initiates the vortex multiplication process. As a result of the following vortex interplay, the moving particle becomes surrounded by a decaying turbulent cloud with high degree of vorticity. It is demonstrated how at certain stage of evolution of the cloud, the kinetic energy of the fluid circulation around the particle increases in a resonant manner. In accordance with the hydrodynamic Bernoulli principle, an increase of the speed of the fluid (kinetic energy) results in a decrease of pressure (potential energy) around the particle. Such mechanism may help to understand the details of experiments with exploding electron bubbles in liquid helium, as a result of the interaction with sound waves.

    Original languageEnglish
    Pages (from-to)385-388
    Number of pages4
    JournalLetters on Materials
    Issue number4
    Publication statusPublished - Dec 2015


    • Quantum material
    • Quantum vortex
    • Superfluidity
    • Turbulence


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