Active and finite-size particles in decaying quantum turbulence at low temperature

Abstract

The evolution of a turbulent tangle of quantum vortices in presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are modeled as potentials depleting the superfluid and described with classical degrees of freedom following a Newtonian dynamics. It is shown that particles do not modify the building-up and the decay of the superfluid Kolmogorov turbulent regime. It is observed that almost the totality of particles remains trapped inside quantum vortices, although they are occasionally detached and recaptured. The statistics of this process are presented and discussed. The particle Lagrangian dynamics is also studied. At large time scales, the velocity spectrum of particles is reminiscent of a classical Lagrangian turbulent behavior. At time-scales faster than the turnover time associated to the mean inter-vortex distance, the particle motion is dominated by oscillations due to Magnus effect. For light particles a non-classical scaling of the spectrum arises. The particle velocity and acceleration probability distribution functions are then studied. The decorrelation time of the particle acceleration is found to be shorter than in classical fluids, and related to the Magnus force experienced by the trapped particles.

arXiv comment17 pages, 11 figures

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Cited by in corpus (5)

• Eulerian and Lagrangian second-order statistics of superfluid ${}^4$He grid turbulence
• Gravity- and temperature-driven phase transitions in a model for collapsed axionic condensates
• Quantum vortex reconnections mediated by trapped particles
• The turbulence development at its initial stage: a scenario based on the idea of vortices decay
• Stochastic motion of finite-size immiscible impurities in a dilute quantum fluid at finite temperature