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Decay of Two-Dimensional Superfluid Turbulence over Pinning Surface

Filip Novotný*, Marek Talíř, and Emil Varga†

  • Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Prague, Czech Republic

  • *Contact author: filip.novotny@mff.cuni.cz
  • †Contact author: emil.varga@matfyz.cuni.cz

Phys. Rev. Lett. 136, 084003 – Published 27 February, 2026

DOI: https://doi.org/10.1103/qrrj-p85y

Abstract

We report on the free decay of quasi-two-dimensional turbulence in superfluid He4 confined within nanofluidic channels. Using a pump-probe technique, we observe a complex decay of the vortex density L(t) that deviates from a simple power law. The decay exhibits a universal fast transient, scaling as L∝t−2, followed by a slower nonuniversal regime that depends on the geometry and flow conditions. We demonstrate that this behavior is governed by the interplay between vortex pinning on the disordered topography of the channel walls and the mobilizing effect of the weak probe flow. A numerical model that treats pinning as a velocity-dependent effective mutual friction successfully reproduces the essential features of our experimental observations.

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