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We present the Fully cOUpled loCAl model of sUperfLuid Turbulence (FOUCAULT) that describes the dynamics of finite temperature superfluids. The superfluid component is described by the vortex filament method while the normal fluid is…

Fluid Dynamics · Physics 2020-03-10 Luca Galantucci , Andrew W. Baggaley , Carlo F. Barenghi , Giorgio Krstulovic

In superfluid helium, vorticity is quantized and constrained on line-like phase singularities, called quantum or quantized vortices. By visualizing the motion of sub-micron frozen particles in superfluid $^{4}$He, we directly observe for…

Kelvin waves propagating on quantum vortices play a crucial role in the phenomenology of energy dissipation of superfluid turbulence. Previous theoretical studies have consistently focused on the zero-temperature limit of the statistical…

Statistical Mechanics · Physics 2015-06-05 Laurent Boué , Victor L'vov , Itamar Procaccia

We present a comprehensive statistical study of free decay of the quantized vortex tangle in superfluid $^4$He at low and ultra-low temperatures, $0\leqslant T \leqslant 1.1\,$K. Using high resolution vortex filament simulations with full…

Other Condensed Matter · Physics 2015-06-19 L. Kondaurova , V. L'vov , A. Pomyalov , I. Procaccia

We revise the theory of superfluid turbulence near the absolute zero of temperature and suggest a model with differential approximation for the energy fluxes in the k-space carried by the collective hydrodynamic motions of quantized vortex…

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

To explain the observed decay of superfluid turbulence at very low temperature, it has been proposed that a cascade of Kelvin waves (analogous to the classical Kolmogorov cascade) transfers kinetic energy to length scales which are small…

Statistical Mechanics · Physics 2015-05-19 Andrew W. Baggaley , Carlo F. Barenghi

We show that the vortex dynamics in Fermi superfluids at ultra-low temperatures is governed by the local heating of the vortex cores creating the heat flux carried by non-equilibrium quasiparticles emitted by moving vortices. This mechanism…

Other Condensed Matter · Physics 2015-05-30 Mihail A. Silaev

We study the statistical and dynamical behavior of turbulent Kelvin waves propagating on quantized vortices in superfluids, and address the controversy concerning the energy spectrum that is associated with these excitations. Finding the…

Statistical Mechanics · Physics 2012-04-13 Laurent Boué , Ratul Dasgupta , Jason Laurie , Victor L'vov , Sergey Nazarenko , Itamar Procaccia

We study numerically nonuniform quantum turbulence of coflow in a square channel by the vortex filament model. Coflow means that superfluid velocity $\bm{v}_s$ and normal fluid velocity $\bm{v}_n$ flow in the same direction. Quantum…

Other Condensed Matter · Physics 2016-04-20 S. Ikawa , M. Tsubota

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

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

A study by computer simulation is reported of the behaviour of a quantized vortex line at a very low temperature when there is continuous excitation of low-frequency Kelvin waves. There is no dissipation except by phonon radiation at a very…

Condensed Matter · Physics 2012-04-05 W. F. Vinen , Makoto Tsubota , Akira Mitani

We present evidence of Kelvin excitations in space-time resolved spectra of numerical simulations of quantum turbulence. Kelvin waves are transverse and circularly polarized waves that propagate along quantized vortices, for which the…

Fluid Dynamics · Physics 2016-01-06 Patricio Clark di Leoni , Pablo D. Mininni , Marc E. Brachet

We present a numerical study of finite-temperature superfluid turbulence using the vortex filament model for superfluid helium. We examine the phenomenon of vorticity locking between the normal and superfluid components across a wide range…

Fluid Dynamics · Physics 2023-05-11 Jason Laurie , Andrew W. Baggaley

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

Helices and spirals, prevalent across various systems, play a crucial role in characterizing symmetry, describing dynamics, and imparting unique functionalities, attributed to their inherent simplicity and chiral nature. A helical…

Quantum Gases · Physics 2025-10-22 Yosuke Minowa , Yuki Yasui , Tomo Nakagawa , Sosuke Inui , Makoto Tsubota , Masaaki Ashida

Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of…

Other Condensed Matter · Physics 2014-04-29 Risto Hänninen , Andrew W. Baggaley

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

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 perform a numerical simulation of the dynamics of quantized vortices produced by coflow in a square channel using the vortex filament model. Unlike the situation in thermal counterflow, where the superfluid velocity $v_{\rm s}$ and…

Other Condensed Matter · Physics 2016-06-03 Shinichi Ikawa , Makoto Tsubota
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