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Turbulence in a system of nonlinearly interacting waves is referred to as wave turbulence. It has been known since seminal work by Kolmogorov, that turbulent dynamics is controlled by a directional energy flux through the wavelength scales.…

Fluid Dynamics · Physics 2014-04-07 L. V. Abdurakhimov , I. A. Remizov , A. A. Levchenko , G. V. Kolmakov , Y. V. Lvov

In superfluid $^3$He turbulence is carried predominantly by the superfluid component. To explore the statistical properties of this quantum turbulence and its differences from the classical counterpart we adopt the time-honored approach of…

Statistical Mechanics · Physics 2012-07-31 Laurent Boué , Victor L'vov , Anna Pomyalov , Itamar 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

While in classical turbulence helicity depletes nonlinearity and can alter the evolution of turbulent flows, in quantum turbulence its role is not fully understood. We present numerical simulations of the free decay of a helical quantum…

Fluid Dynamics · Physics 2017-06-28 P. Clark di Leoni , P. D. Mininni , M. E. Brachet

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

Since the idea of quantum turbulence was first proposed by Feynman, and later realized in experiments of superfluid helium and Bose-Einstein condensates, much emphasis has been put in finding signatures that distinguish quantum turbulence…

Quantum Gases · Physics 2025-04-24 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

The mechanisms governing the transition to turbulence in natural convection boundary layers along strongly heated vertical walls remain neither very clear nor well understood, because of the lack of experiments and the difficulties of…

Fluid Dynamics · Physics 2008-12-23 Thierry De Larochelambert

We perform a study on the evolution of helical quantum turbulence at different temperatures by solving numerically the Gross-Pitaevskii and the Stochastic Ginzburg-Landau equations, using up to $4096^3$ grid points with a pseudospectral…

Fluid Dynamics · Physics 2018-09-26 P. Clark di Leoni , P. D. Mininni , M. -E. Brachet

Particles are today the main tool to study superfluid turbulence and visualize quantum vortices. In this work, we study the dynamics and the spatial distribution of particles in co-flow and counterflow superfluid helium turbulence in the…

Other Condensed Matter · Physics 2020-03-18 Juan Ignacio Polanco , Giorgio Krstulovic

Turbulent phenomena are among the most striking effects that both classical and quantum fluids can exhibit. While classical turbulence is ubiquitous in nature, the observation of quantum turbulence requires the precise manipulation of…

The objective of this work is to investigate the unexplored laminar-to-turbulent transition of a heated flat-plate boundary layer with a fluid at supercritical pressure. Two temperature ranges are considered: a subcritical case, where the…

The physical origin of mutual friction in quantum fluids is deeply connected to the fundamental nature of superfluidity. It stems from the interaction between the superfluid and normal components, mediated by the dynamics of quantized…

Bending waves are perhaps the most fundamental and analytically tractable phenomena in warped disc dynamics. In this work we conduct 3D grid-based, numerical experiments of bending waves in laminar, viscous hydrodynamic and turbulent,…

Solar and Stellar Astrophysics · Physics 2025-01-28 Callum W. Fairbairn

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

By assuming a self-similar structure for Kelvin waves along vortex loops with successive smaller scale features, we model the fractal dimension of a superfluid vortex tangle in the zero temperature limit. Our model assumes that at each step…

Other Condensed Matter · Physics 2015-05-18 David Jou , Maria Stella Mongiovi' , Michele Sciacca , Carlo F. Barenghi

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

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

The term quantum turbulence denotes the turbulent motion of quantum fluids, systems such as superfluid helium and atomic Bose-Einstein condensates which are characterized by quantized vorticity, uperfluidity and, at finite temperatures,…

Quantum Gases · Physics 2015-06-19 Carlo F. Barenghi , Ladislav Skrbek , Katepalli R. Sreenivasan

The elementary processes involved in the decay of superfluid turbulence in the limit of low temperature are studied by numerical simulations of vortex ring collisions. We find that small vortex rings produced by reconnections eventually…

Condensed Matter · Physics 2007-05-23 M. Leadbeater , D. C. Samuels , C. F. Barenghi , C. S. Adams

We study a two-phase sample of superfluid 3He where vorticity exists in one phase (3He-A) but cannot penetrate across the interfacial boundary to a second coherent phase (3He-B). We calculate the bending of the vorticity into a surface…

Condensed Matter · Physics 2009-11-10 R. Hänninen , R. Blaauwgeers , V. B. Eltsov , A. P. Finne , M. Krusius , E. V. Thuneberg , G. E. Volovik