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Based on the theory of the thermodynamic equilibrium in a system of quantum vortices in superfluids in the presence of a counterflow, the influence of a vortex tangle on various thermodynamic phenomena in quantum liquids is studied. Using…

Soft Condensed Matter · Physics 2024-08-02 Sergey K. Nemirovskii

We show that the tails of the single-point velocity probability distribution function (PDF) are generally non-Gaussian in developed turbulence. By using instanton formalism for the Navier-Stokes equation, we establish the relation between…

chao-dyn · Physics 2009-10-30 Gregory Falkovich , Vladimir Lebedev

We analyze data from direct numerical simulations of homogeneous and isotropic turbulence (at Re_\lambda \approx 280) and study the statistics of curvature and torsion of Lagrangian trajectories in order to extract informations on the…

Chaotic Dynamics · Physics 2009-09-11 Andrea Scagliarini

The statistics of velocity differences between very heavy inertial particles suspended in an incompressible turbulent flow is found to be extremely intermittent. When particles are separated by distances within the viscous subrange, the…

Fluid Dynamics · Physics 2009-05-11 J. Bec , L. Biferale , M. Cencini , A. S. Lanotte , F. Toschi

Turbulence in quantum fluids has, surprisingly, a lot in common with its classical counterpart. Recently, cold atomic gases has emerged as a well controlled experimental platform to study turbulent dynamics. In this work, we introduce a…

Quantum Gases · Physics 2024-01-24 Myrann Baker-Rasooli , Wei Liu , Tangui Aladjidi , Alberto Bramati , Quentin Glorieux

We compare the decay of turbulence in superfluid $^4$He produced by a moving grid to the decay of turbulence created by either impulsive spin-down to rest or by intense ion injection. In all cases the vortex line density $L$ decays at late…

Fluid Dynamics · Physics 2015-10-12 D. E. Zmeev , P. M. Walmsley , A. I. Golov , P. V. E. McClintock , S. N. Fisher , W. F. Vinen

We report on studies of quantum turbulence with second-sound in superfluid 4He in which the turbulence is generated by the flow of the superfluid component through a wide square channel, the ends of which are plugged with sintered silver…

Other Condensed Matter · Physics 2015-09-07 Simone Babuin , Emil Varga , William F. Vinen , Ladislav Skrbek

This work rectifies the hydrodynamic equations commonly used to describe the superfluid velocity field in such a way that vortex dynamics are also taken into account. In the field of quantum turbulence, it is of fundamental importance to…

Quantum Gases · Physics 2017-02-16 F. Ednilson A. dos Santos

Near absolute zero, superfluid liquid helium displays quantum properties at macroscopic length scales. One property, superfluidity, means flow with zero viscosity. Another property, the existence of a complex wavefunction, constrains the…

Fluid Dynamics · Physics 2022-07-12 Carlo F. Barenghi

The large scale turbulent statistics of mechanically driven superfluid $^4$He was shown experimentally to follow the classical counterpart. In this paper we use direct numerical simulations to study the whole range of scales in a range of…

Other Condensed Matter · Physics 2018-02-28 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

Below the phase transition temperature $Tc \simeq 10^{-3}$K He-3B has a mixture of normal and superfluid components. Turbulence in this material is carried predominantly by the superfluid component. We explore the statistical properties of…

Other Condensed Matter · Physics 2017-05-24 L. Biferale , D. Khomenko , V. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

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

We perform numerical simulations of finite temperature quantum turbulence produced through thermal counterflow in superfluid $^4$He, using the vortex filament model. We investigate the effects of solid boundaries along one of the Cartesian…

Fluid Dynamics · Physics 2015-03-10 Andrew W. Baggaley , Jason Laurie

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

On the grounds of both widely known experimental and numerical data of the strain-rate tensor statistical properties in the fully developed incompressible turbulent flow and the integral transformations deduced in the article, some…

Fluid Dynamics · Physics 2015-11-24 A. V. Kopyev , K. P. Zybin

We unify two approaches that have been taken to explain the non-Gaussian probability distribution functions (PDFs) obtained in measurements of longitudinal velocity differences in turbulence, and we apply our approach to Couette-Taylor…

Soft Condensed Matter · Physics 2009-11-11 Sunghwan Jung , Harry L. Swinney

Experiments and numerical simulations show that quantum turbulence exists in two distinct limiting regimes: Kolmogorov turbulence (which shares with classical turbulence the important property of a cascade of kinetic energy from large…

Fluid Dynamics · Physics 2021-04-14 L. Galantucci , C. F. Barenghi , N. G. Parker , A. W. Baggaley

Historically, there is little faith in particle tracking velocimetry (PTV) as a tool to make quantitative measurements of thermal counterflow in He II, since tracer particle motion is complicated by influences from the normal fluid,…

Other Condensed Matter · Physics 2019-02-13 Brian Mastracci , Wei Guo

We discuss an experimental technique to visualize the motion in the bulk of superfluid $^4$He by tracking micron-sized solid hydrogen tracers. The behavior of the tracers is complex since they may be trapped by the quantized vortices while…

Statistical Mechanics · Physics 2009-11-13 Matthew S. Paoletti , Ralph B. Fiorito , Katepalli R. Sreenivasan , Daniel P. Lathrop

We study the statistics of velocity circulation in two-dimensional classical and quantum turbulence. We perform numerical simulations of the incompressible Navier-Stokes and the Gross-Pitaevskii (GP) equations for the direct and inverse…

Fluid Dynamics · Physics 2023-12-13 Nicolás P. Müller , Giorgio Krstulovic