Universal Anomalous Diffusion of Quantized Vortices in Ultraquantum Turbulence

Yui, Satoshi; Tang, Yuan; Guo, Wei; Kobayashi, Hiromichi; Tsubota, Makoto

doi:10.1103/physrevlett.129.025301

Universal Anomalous Diffusion of Quantized Vortices in Ultraquantum Turbulence

Journal Article · Tue Jul 05 00:00:00 EDT 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.129.025301· OSTI ID:1875088

Yui, Satoshi ^[1]; ^[2]; ^[2]; ^[3]; Tsubota, Makoto ^[4]

Osaka Metropolitan Univ. (Japan); Florida State University, National High Magnetic Field Laboratory
National High Magnetic Field Lab., Tallahassee, FL (United States); Florida State Univ., Tallahassee, FL (United States)
Keio Univ., Yokohama (Japan)
Osaka Metropolitan Univ. (Japan)

In classical viscous fluids, turbulent eddies are known to be responsible for the rapid spreading of embedded particles. However, in inviscid quantum fluids where the turbulence is induced by a chaotic tangle of quantized vortices, dispersion of the particles can be achieved via a nonclassical mechanism, i.e., their binding to the evolving vortices. However, knowledge on how the vortices diffuse and spread in quantum-fluid turbulence is very limited, especially for the so-called ultraquantum turbulence (UQT) generated by a random tangle of vortices. Here we report a systematic numerical study of the apparent diffusion of vortices in UQT in superfluid helium-4 using the full Biot-Savart simulation. We reveal that the vortices in the superfluid exhibit a universal anomalous diffusion (superdiffusion) at small times, which transits to normal diffusion at large times. This behavior is found to be the result of a generic scaling property of the vortex velocity. Our simulation at finite temperatures also nicely reproduces recent experimental observations. Lastly, the knowledge obtained from this study may form the base for understanding turbulent transport and universal vortex dynamics in various quantum fluids.

View Accepted Manuscript (DOE)

Research Organization:: Florida State Univ., Tallahassee, FL (United States). National High Magnetic Field Lab. (MagLab)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation

Grant/Contract Number:: SC0020113

OSTI ID:: 1875088

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 2 Vol. 129; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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