Kolmogorov-Hinze scales in turbulent superfluids
Abstract
When a two-component mixture of immiscible fluids is stirred, the fluids are split into smaller domains with more vigorous stirring. We numerically investigate the sizes of such domains in a fully-developed turbulent state of a two-component superfluid stirred with energy input rate $\epsilon$. For the strongly immiscible condition, the typical domain size is shown to be proportional to $\epsilon^{-2/5}$, as predicted by the Kolmogorov-Hinze theory in classical fluids. For the weakly immiscible condition, quantum effects become pronounced and the power changes from $-2 / 5$ to $-1 / 4$.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.01875
- arXiv:
- arXiv:2101.01875
- Bibcode:
- 2021arXiv210101875K
- Keywords:
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- Condensed Matter - Quantum Gases;
- Physics - Fluid Dynamics
- E-Print:
- 9 pages, 6 figures, 1 movie