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By analyzing trajectories of solid hydrogen tracers, we find that the distributions of velocity in decaying quantum turbulence in superfluid $^4$He are strongly non-Gaussian with $1/v^3$ power-law tails. These features differ from the…

Statistical Mechanics · Physics 2008-10-10 M. S. Paoletti , Michael E. Fisher , K. R. Sreenivasan , D. P. Lathrop

Superfluid Turbulence is unusual and presents a challenge to fluid dynamicists because it consists of two coupled, inter penetrating turbulent fluids: the first is inviscid with quantised vorticity, the second is viscous with continuous…

Other Condensed Matter · Physics 2013-06-27 Carlo F. Barenghi , Victor L'vov , Philippe-E. Roche

Turbulence is characterized by a large number of degrees of freedom, distributed over several length scales, that result into a disordered state of a fluid. The field of quantum turbulence deals with the manifestation of turbulence in…

Quantum Gases · Physics 2019-10-29 L. Madeira , M. A. Caracanhas , F. E. A. dos Santos , V. S. Bagnato

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

We develop a computational model of quantum turbulence decay employing a kinematic prescription for the normal fluid. We find that after an initial transient, the length of the vortex tangle L decreases and for large times obeys a scaling…

Fluid Dynamics · Physics 2009-11-10 Demosthenes Kivotides

Generic scaling laws, such as the Kolmogorov's 5/3-law, are milestone achievements of turbulence research in classical fluids. For quantum fluids such as atomic Bose-Einstein condensates, superfluid helium, and superfluid neutron stars,…

Quantum Gases · Physics 2021-04-28 Yuan Tang , Shiran Bao , Wei Guo

The velocity circulation, a measure of the rotation of a fluid within a closed path, is a fundamental observable in classical and quantum flows. It is indeed a Lagrangian invariant in inviscid classical fluids. In quantum flows, circulation…

Fluid Dynamics · Physics 2021-03-17 Nicolás P. Müller , Juan Ignacio Polanco , Giorgio Krstulovic

New methods of flow visualization near absolute zero have opened the way to directly compare quantum turbulence (in superfluid helium) to classical turbulence (in ordinary fluids such as air or water) and explore analogies and differences.…

Fluid Dynamics · Physics 2015-06-18 Andrew W. Baggaley , Carlo F. Barenghi

Recent work has highlighted the remarkable properties of quantum turbulence in superfluid helium II, consisting of a disordered tangle of quantised vortex lines which interact with each other and reconnect when they collide. According to…

Fluid Dynamics · Physics 2025-11-04 Luca Galantucci , Giorgio Krstulovic , Carlo F Barenghi

Recent studies of turbulence in superfluid Helium indicate that turbulence in quantum fluids obeys a Kolmogorov scaling law. Such a law was previously attributed to classical solutions of the Navier-Stokes equations of motion. It is…

Other Condensed Matter · Physics 2009-03-03 D. Drosdoff , A. Widom , J. Swain , Y. N. Srivastava , V. Parihar , S. Sivasubramanian

In a recent experiment Paoletti et al (Phys. Rev. Lett. 101, 154501, 2008) monitored the motion of tracer particles in turbulent superfluid helium and inferred that the velocity components do not obey the Gaussian statistics observed in…

Quantum Gases · Physics 2015-05-14 Angela White , Nick P. Proukakis , Carlo F. Barenghi

To model isotropic homogeneous quantum turbulence in superfluid helium, we have performed Direct Numerical Simulations (DNS) of two fluids (the normal fluid and the superfluid) coupled by mutual friction. We have found evidence of strong…

Other Condensed Matter · Physics 2015-05-13 Philippe-Emmanuel P. -E. Roche , Carlo F. Barenghi , Emmanuel Lévêque

Turbulence is one of the most prototypical phenomena of systems driven out of equilibrium. While turbulence has been studied mainly with classical fluids like water, considerable attention is now drawn to quantum turbulence (QT), observed…

Quantum Gases · Physics 2016-09-07 Masahiro Takahashi , Michikazu Kobayashi , Kazumasa A. Takeuchi

The present article reviews the recent developments in the physics of quantum turbulence. Quantum turbulence (QT) was discovered in superfluid $^4$He in the 1950s, and the research has tended toward a new direction since the mid 90s. The…

Other Condensed Matter · Physics 2009-11-13 Makoto Tsubota

We consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g. towed grid or rotation but not by counterflow. We argue that such turbulence consists of a {\em polarized} tangle of mutually interacting…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Sergei V. Nazarenko , Oleksii Rudenko

The density fluctuations of quantum vortex lines are measured in a turbulent flow of superfluid He, at temperatures corresponding to superfluid fraction of 16%, 47% and 81%. The probe is a micro-fabricated second sound resonator that allows…

Fluid Dynamics · Physics 2021-08-11 Eric Woillez , Jérôme Valentin , Philippe-E Roche

Single-body diffusion and two-body dispersion are fundamental processes in classical turbulence, governing particle mixing and transport. However, their behaviors in superfluid turbulence remain largely unexplored. In this study, we…

Quantum Gases · Physics 2025-04-02 Yuan Tang , Sosuke Inui , Yiming Xing , Yinghe Qi , Wei Guo

The infinite superpositions of random plane waves are known to be threaded with vortex line singularities which form complicated tangles and obey strict topological rules. We observe that within these structures a timelike axis appears to…

Fluid Dynamics · Physics 2019-02-06 Samuel N. Alperin , Abigail L. Grotelueschen , Mark E. Siemens

Quantum turbulence can be generated in superfluid helium either thermally (by applying a heat flux, as in thermal counterflow) or mechanically (by stirring the liquid). By modelling the superfluid vortex lines as reconnecting space curves…

Other Condensed Matter · Physics 2015-06-04 A. W. Baggaley , L. K. Sherwin , C. F. Barenghi , Y. A. Sergeev

Superfluid turbulence, often referred to as quantum turbulence, is a fascinating phenomenon for which a satisfactory theoretical framework is lacking. Holographic duality provides a systematic new approach to studying quantum turbulence by…

High Energy Physics - Theory · Physics 2012-12-20 Allan Adams , Paul M. Chesler , Hong Liu
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