Abstract
Motivated by current experiments, quantum turbulence in the presence of active and finite size particles is investigated numerically. We show that particles do not affect the development of the Kolmogorov regime, and the large scale Lagrangian observables are also compatible with a classical picture. Particles stay trapped inside superfluid vortices with occasional detachment and recapture. At small scales, particle dynamics is dominated by a fast precession frequency from the Magnus effect. Moreover, we observe that particle acceleration decorrelates much faster than in classical turbulence.
Highlights
When a fluid is stirred, energy is injected into the system exciting structures at different scales
We describe a superfluid of volume V at low temperature by using the complex field ψ, which obeys the GP dynamics
A different scaling of the velocity spectrum is observed for the light particles, in agreement with |vp(ω)|2 ∝ |ω|−1. This behavior is consistent with the fact that at scales smaller than the intervortex d√istance, the typical velocities of a superfluid turbulent tangle are supposed to scale as vfast(t ) ∝ κ/|t − t0|, because the circulation becomes the only relevant physical parameter, and the motion of vortices is dominated by their mutual advection and reconnections
Summary
When a fluid is stirred, energy is injected into the system exciting structures at different scales. When energy is injected in a low-temperature superfluid at scales much larger than the mean intervortex distance , a classical Kolmogorov regime is expected Such a behavior has been observed numerically [9,10,11] and experimentally [12,13]. Unlike the VF method or the HVBK model, it naturally contains quantum vortices as topological defects of the order parameter It was found analytically and confirmed numerically that the GP model can reproduce the process of trapping of large active inertial particles by straight vortex lines [34], in accordance with hydrodynamical calculations [28,29].
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