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Vortex reconnections play a fundamental role in fluids.They increase the complexity of flow and develop small-scale motions.In this work, we report that in superfluids, they can also excite large scales. We numerically illustrate that…

Superfluid helium is an intimate mixture of a viscous normal fluid, with continuous vorticity, and an inviscid superfluid, where vorticity is constrained to thin, stable topological defects. One mechanism to generate turbulence in this…

Fluid Dynamics · Physics 2015-06-17 A. W. Baggaley , S. Laizet

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

In Fermi superfluids, like superfluid 3He, the viscous normal component can be considered to be stationary with respect to the container. The normal component interacts with the superfluid component via mutual friction which damps the…

Other Condensed Matter · Physics 2015-06-17 Vladimir Eltsov , Risto Hänninen , Matti Krusius

We suggest a "minimal model" for the 3D turbulent energy spectra in superfluids, based on their two-fluid description. We start from the Navier-Stokes equation for the normal fluid and from the coarse-grained hydrodynamic equation for the…

Chaotic Dynamics · Physics 2009-11-11 Victor S. L'vov , Sergei V. Nazarenko , L. Skrbek

The structure and energetics of superflow around quantized vortices, and the motion inherited by these vortices from this superflow, are explored in the general setting of the superfluidity of helium-four in arbitrary dimensions. The…

Statistical Mechanics · Physics 2009-11-13 Paul M. Goldbart , Florin Bora

We propose a Hamiltonian model that describes the interaction between a vortex line in superfluid $^{4}$He and the gas of elementary excitations. An equation of irreversible motion for the density operator of the vortex, regarded as a…

Condensed Matter · Physics 2009-10-28 H. M. Cataldo , M. A. Despósito , E. S. Hernández , D. M. Jezek

In the thermally driven superfluid He-4 turbulence, the counterflow velocity $U_{\rm ns}$ partially decouples the normal and superfluid turbulent velocities. Recently we suggested [J. Low Temp. Phys. 187, 497 (2017)] that this decoupling…

Other Condensed Matter · Physics 2018-07-03 Victor. S. L'vov , Anna Pomyalov

We report on a combined theoretical and numerical study of counterflow turbulence in superfluid $^{4}$He in a wide range of parameters. The energy spectra of the velocity fluctuations of both the normal-fluid and superfluid components are…

Other Condensed Matter · Physics 2019-11-06 L. Biferale , D. Khomenko , V. S. L'vov , A. Pomyalov , I. Procaccia , G. Sahoo

We study the coupled dynamics of normal and superfluid components of the superfluid $^4$He in the channel considering the counterflow turbulence with laminar normal component. In particular, we calculated profiles of the normal velocity,…

Other Condensed Matter · Physics 2016-12-21 Dmytro Khomenko , Pankaj Mishra , Anna Pomyalov

In low-temperature superfluid helium, viscosity is zero, and vorticity takes the form of discrete, vortex filaments of fixed circulation and atomic thickness. We present numerical evidence of three-dimensional inverse energy transfer from…

Fluid Dynamics · Physics 2015-03-20 Andrew W. Baggaley , Carlo F. Barenghi , Yuri A. Sergeev

Based on our current understanding of statistics of quantum turbulence as well as on results of intensive ongoing analytical, numerical and experimental studies we overview here the following problems in the large-scale, space-homogeneous,…

Other Condensed Matter · Physics 2016-11-23 V. S. L'vov , A. Pomyalov

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 helium consists of two inter-penetrating fluids, a viscous normal fluid and an inviscid superfluid, coupled by a mutual friction. We develop a two-fluid shell model to study superfluid turbulence. We investigate the energy…

Statistical Mechanics · Physics 2015-05-30 D. H. Wacks , C. F. Barenghi

We discuss the energy and vorticity spectra of turbulent superfluid $^4$He in all the temperature range from $T=0$ up to the phase transition "$\lambda$ point", $T_\lambda\simeq 2.17\,$K. Contrary to classical developed turbulence in which…

Other Condensed Matter · Physics 2015-04-06 Laurent Boué , Victor S. L'vov , Yotam Nagar , Sergey V. Nazarenko , Anna Pomyalov , Itamar Procaccia

We describe a new technique, using thin lines of triplet-state He2 molecular tracers created by femtosecond-laser field-ionization of helium atoms, for visualizing the flow of the normal fluid in superfluid 4He, together with its…

Other Condensed Matter · Physics 2021-08-03 Alex Marakov , Jian Gao , Wei Guo , Steven W. Van Sciver , Gary G. Ihas , Daniel N. McKinsey , William F. Vinen

We develop an analytic theory of strong anisotropy of the energy spectra in the thermally-driven turbulent counterflow of superfluid He-4. The key ingredients of the theory are the three-dimensional differential closure for the vector of…

Other Condensed Matter · Physics 2022-02-23 Victor S. L'vov , Yuri V. Lvov , Sergey Nazarenko , Anna Pomyalov

We report complementary experimental, numerical and theoretical study of turbulent coflow, counterflow and pure superflow of superfluid He-4 in a channel, resulting in a physically transparent and relatively simple model of decaying quantum…

Other Condensed Matter · Physics 2016-11-15 S. Babuin , V. S. L'vov , A. Pomyalov , L. Skrbek , E. Varga

Numerical calculations of Helium-II hydrodynamics show that a dense tangle of superfluid vortices induces in an initially stationary normal fluid a highly dissipative, complex, vortical flow pattern ("turbulence") with a -2.2 energy…

Fluid Dynamics · Physics 2007-05-23 Demosthenes Kivotides

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
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