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An equation previously proposed to describe the evolution of vortex line density in rotating counterflow turbulent tangles in superfluid helium is generalized to incorporate nonvanishing barycentric velocity and velocity gradients. Our…

Other Condensed Matter · Physics 2009-11-13 David Jou , Michele Sciacca , Maria Stella Mongiovi'

Observations of quantum turbulence in pure superfluid 4He in a rotating container are reported. New techniques of large-scale forcing (rotational oscillations of the cubic container) and detecting (monitoring ion transport along the axis of…

Other Condensed Matter · Physics 2012-09-25 P. M. Walmsley , A. I. Golov

In this article, we review the research on the dynamics of quantized vortices in superfluid helium and rotating Bose-Einstein condensates. First, after briefly reviewing the earlier research and describing the current problems on quantized…

Condensed Matter · Physics 2007-05-23 Makoto Tsubota , Kenichi Kasamatsu , Tsunehiko Araki

Turbulence in superfluid helium~II is a tangle of quantized vortex lines which interact via the classical Biot-Savart law. We show that vortex tangles with the same vortex line density will have different energy spectra, depending on the…

Other Condensed Matter · Physics 2015-06-22 L. K. Sherwin-Robson , C. F. Barenghi , A. W. Baggaley

Kinetic helicity is one of the invariants of the Euler equations that is associated with the topology of vortex lines within the fluid. In superfluids, the vorticity is concentrated along vortex filaments. In this setting, helicity would be…

Fluid Dynamics · Physics 2016-07-01 R. Hänninen , N. Hietala , H. Salman

We compute the frequency spectrum of turbulent superfluid vortex density fluctuations and obtain the same Kolmogorov scaling which has been observed in a recent experiment in Helium-4. We show that the scaling can be interpreted in terms of…

Statistical Mechanics · Physics 2011-08-05 Andrew W. Baggaley , Carlo F. Barenghi

In classical viscous fluids, turbulent eddies are known to be responsible for the rapid spreading of embedded particles. But in an inviscid quantum fluid where the turbulence is induced by a chaotic tangle of quantized vortices, dispersion…

Fluid Dynamics · Physics 2022-03-08 Satoshi Yui , Yuan Tang , Wei Guo , Hiromichi Kobayashi , Makoto Tsubota

Matter entanglement is a common chaotic structure in both quantum and classical systems. Turbulence can be pictured as a tangle of vortex filaments in superfluids and viscous vortices in classical fluids. However, it is hard to explain how…

Fluid Dynamics · Physics 2024-08-21 Weiyu Shen , Jie Yao , Yue Yang

Heat is carried in superfluid He-4 by the motion of the normal fluid$^{1}$, a counterflowing superfluid component serving to eliminate any net mass flow. It has been known for many years that above a critical heat current the superfluid…

Fluid Dynamics · Physics 2010-07-22 Wei Guo , Sidney B. Cahn , James A. Nikkel , William F. Vinen , Daniel N. McKinsey

We study the elementary characteristics of turbulence in a quantum ferrofluid through the context of a dipolar Bose gas condensing from a highly non-equilibrium thermal state. Our simulations reveal that the dipolar interactions drive the…

Quantum Gases · Physics 2018-10-31 T. Bland , G. W. Stagg , L. Galantucci , A. W. Baggaley , N. G. Parker

We introduce a novel approach to the three-dimensional reconstruction of superfluid vortex filaments using deep convolutional neural networks. Superfluid vortices, quantum mechanical phenomena of immense scientific interest, are challenging…

Quantum Gases · Physics 2023-12-25 Nick Keepfer , Thomas Flynn , Nick Parker , Thomas Billam

Hydrodynamic flow in both classical and quantum fluids can be either laminar or turbulent. To describe the latter, vortices in turbulent flow are modelled with stable vortex filaments. While this is an idealization in classical fluids,…

Compressing complex flows into a tangle of vortex filaments is the basic implication of the classical notion of the vortex representation. Various vortex identification criteria have been proposed to extract the vortex filaments from…

Fluid Dynamics · Physics 2020-05-27 Chengyue Wang , Qi Gao , Biao Wang

Tangles of quantized vortex line of initial density ${\cal L}(0) \sim 6\times 10^3$\,cm$^{-2}$ and variable amplitude of fluctuations of flow velocity $U(0)$ at the largest length scale were generated in superfluid $^4$He at $T=0.17$\,K,…

Fluid Dynamics · Physics 2017-03-31 P. M. Walmsley , A. I. Golov

A direct Biot-Savart integration is used to decompose the strain rate into its local and nonlocal constituents, allowing the vorticity alignment with the local and nonlocal strain rate eigenvectors to be investigated. These strain rate…

Fluid Dynamics · Physics 2008-12-02 Peter E. Hamlington , Jörg Schumacher , Werner J. A. Dahm

Vortex interactions are commonly observed in atmospheric turbulence, plasma dynamics, and collective behaviors in biological systems. However, accurately simulating these complex interactions is highly challenging due to the need to capture…

We present a numerical method to compute the evolution of vortex filaments in superfluid helium. The method is based on a tree algorithm which considerably speeds up the calculation of Biot-Savart integrals. We show that the computational…

Statistical Mechanics · Physics 2015-05-30 Andrew W. Baggaley , Carlo F. Barenghi

The energy spectrum of superfluid turbulence in the absence of the normal fluid is studied numerically. In order to discuss the statistical properties, we calculated the energy spectra of the 3D velocity field induced by dilute and dense…

Soft Condensed Matter · Physics 2007-05-23 Tsunehiko Araki , Makoto Tsubota , Sergey K. Nemirovskii

A phenomenological model is developed to explain a new set of detailed torsional oscillator data for hcp 4He. The model is based on Anderson's idea of the vortex fluid (vortex tangle) in solid 4He. Utilizing a well-studied treatment of…

Other Condensed Matter · Physics 2009-11-21 Sergey K. Nemirovskii , Nobutaka Shimizu , Yoshinori Yasuta , Minoru Kubota

By injecting negative ions in superfluid 4He in the zero-temperature limit (T < 0.5 K), we generated tangles of quantized vortex line with negligible large-scale flow. For this quantum regime of superfluid turbulence, the vortex line length…

Other Condensed Matter · Physics 2008-10-01 P. M. Walmsley , A. I. Golov