Superdiffusion of quantized vortices uncovering scaling laws in quantum turbulence

Tang, Yuan; Bao, Shiran; Guo, Wei

doi:10.1073/pnas.2021957118

Superdiffusion of quantized vortices uncovering scaling laws in quantum turbulence

Journal Article · Mon Feb 08 23:00:00 EST 2021 · Proceedings of the National Academy of Sciences of the United States of America

DOI:https://doi.org/10.1073/pnas.2021957118· OSTI ID:1848024

^[1]; Bao, Shiran ^[1]; ^[1]

The Cryogenics Laboratory, National High Magnetic Field Laboratory, Tallahassee, FL 32310,, Mechanical Engineering Department, Florida State University, Tallahassee, FL 32310

Significance

Quantum turbulence (QT) can appear in the presence of a chaotic tangle of quantized vortices in various quantum-fluid systems, including atomic Bose–Einstein condensates, superfluid helium, superfluid neutron stars, etc. Insights into the generic scaling behaviors of tangled vortices are crucial in developing an advanced statistical model of QT. By tracking tracer particles trapped on vortices in superfluid ⁴ He, we report the observation of an apparent superdiffusion of the vortices in QT. Our analysis shows that this superdiffusion is not due to Lévy flights, i.e., long-distance hops that are responsible for superdiffusion of random walkers. Instead, a power-law scaling of the vortex–velocity correlation is identified as the cause. This finding may motivate extensive future research on hidden scaling laws in QT.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0020113

OSTI ID:: 1848024

Alternate ID(s):: OSTI ID: 1774791

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 6 Vol. 118; ISSN 0027-8424

Publisher:: Proceedings of the National Academy of SciencesCopyright Statement

Country of Publication:: United States

Language:: English

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