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Generation, statistically steady state, and temporal decay of axially rotating thermal counterflow of superfluid $^4$He (He~II) in a square channel is probed using the second sound attenuation technique, measuring the density of quantized…

The coupled dynamics of the two-fluid model of superfluid $^4$He is numerically studied for quantum turbulence of the thermal counterflow in a square channel. We combine the vortex filament model of the superfluid and the Navier-Stokes…

Other Condensed Matter · Physics 2018-04-18 Satoshi Yui , Makoto Tsubota , Hiromichi Kobayashi

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,…

A theory is developed to describe the superfluid turbulence on the base of kinetics of the merging and splitting vortex loops. Because of very frequent reconnections the vortex loops (as a whole) do not live long enough to perform any…

Statistical Mechanics · Physics 2009-11-13 Sergey K. Nemirovskii

A standard description of superfluid helium-4 is based on the concept of two components (superfluid and normal), which leads to the so called two-fluid models. However, as there are no two kinds of atoms in helium-4, the two components can…

Superconductivity · Physics 2025-09-03 Nadine Suzan Cetin , Michal Pavelka , Emil Varga

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

Turbulence in superfluids depends crucially on the dissipative damping in vortex motion. This is observed in the B phase of superfluid 3He where the dynamics of quantized vortices changes radically in character as a function of temperature.…

Soft Condensed Matter · Physics 2009-11-11 V. B. Eltsov , M. Krusius , G. E. Volovik

A vorticity surge event that could be a paradigm for a wide class of bursting events in turbulence is studied to examine how the energy cascade is established and how this event could serve as a new test of LES turbulence models. This…

Chaotic Dynamics · Physics 2009-11-07 Darryl D. Holm , Robert M. Kerr

Like many quantum fluids, superfluid helium-4 (He II) can be considered as a mixture of two miscible fluid components: an inviscid superfluid and a viscous normal fluid consisting of thermal quasiparticles [1]. A mutual friction between the…

Quantum Gases · Physics 2022-11-04 Yuan Tang , Wei Guo , Hiromichi Kobayashi , Satoshi Yui , Makoto Tsubota , Toshiaki Kanai

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

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'

The interaction between vortex density waves and high-frequency second sound in counterflow superfluid turbulence is examined, incorporating diffusive and elastic contributions of the vortex tangle. The analysis is based on a set of…

Other Condensed Matter · Physics 2010-08-27 Michele Sciacca , Maria Stella Mongiovi' , David Jou

The transfer of kinetic energy from large to small scales is a hallmark of turbulent flows. Yet, a precise mechanistic description of this transfer, which is expected to occur via an energy cascade, is still missing. Several conceptually…

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

We investigate the thermal counterflow of the superfluid $^4$He by numerically simulating three-dimensional fully coupled dynamics of the two fluids, namely quantized vortices and a normal fluid. We analyze the velocity fluctuations of the…

Superconductivity · Physics 2020-04-22 Satoshi Yui , Hiromichi Kobayashi , Makoto Tsubota , Wei Guo

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

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 turbulent flows kinetic energy is spread by nonlinear interactions over a broad range of scales. Energy transfer may proceed either toward small scales or in the reverse direction. The latter case is peculiar of two-dimensional (2D)…

Fluid Dynamics · Physics 2015-06-03 Luca Biferale , Stefano Musacchio , Federico Toschi

New techniques, both for generating and detecting turbulence in the helium superfluids 3He-B and 4He, have recently given insight in how turbulence is started, what the dissipation mechanisms are, and how turbulence decays when it appears…

Other Condensed Matter · Physics 2011-02-23 V. B. Eltsov , R. de Graaf , R. Hanninen , M. Krusius , R. E. Solntsev , V. S. L'vov , A. I. Golov , P. M. Walmsley

The minimum separation between reconnecting vortices in fluids and superfluids obeys a universal scaling law with respect to time. The pre-reconnection and the post-reconnection prefactors of this scaling law are different, a property…