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We present numerical evidence that Kelvin waves (KWs) on quantized vortices in superfluid helium can be directly observed in the normal fluid component at finite temperatures. Using the Fully cOUpled loCAl model of sUperfLuid Turbulence…

Fluid Dynamics · Physics 2026-04-14 Simone Scollo , Luca Galantucci , Giorgio Krstulovic

Energy dissipation in collisionless plasmas is a longstanding fundamental physics problem. Although it is well known that magnetic reconnection and turbulence are coupled and transport energy from system-size scales to sub-proton scales,…

Kelvin waves (kelvons)--the distortion waves on vortex lines--play a key part in the relaxation of superfluid turbulence at low temperatures. We present a weak-turbulence theory of kelvons. We show that non-trivial kinetics arises only…

Condensed Matter · Physics 2009-11-10 Evgeny Kozik , Boris Svistunov

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 measure the interaction of a single superfluid vortex with surface irregularities. While vortex pinning in superconductors usually becomes weaker at higher temperatures, we find the opposite behavior. The pinning steadily increases…

Superconductivity · Physics 2009-10-31 L. A. K. Donev , L. Hough , R. J. Zieve

As long as vorticity quantization remains irrelevant for the long-wave physics, superfluid turbulence supports a regime macroscopically identical to the Kolmogorov cascade of a normal liquid. At high enough wavenumbers, the energy flux in…

Other Condensed Matter · Physics 2010-10-28 Evgeny Kozik , Boris Svistunov

Reconnections of coherent filamentary structures play a key role in the dynamics of fluids, redistributing energy and helicity among the length scales, triggering dissipative effects and inducing fine-scale mixing. Unlike ordinary…

Quantum Gases · Physics 2019-09-04 Luca Galantucci , Andrew W. Baggaley , Nick G. Parker , Carlo F. Barenghi

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

The reciprocal energy and enstrophy transfers between normal fluid and superfluid components dictate the overall dynamics of superfluid $^4$He including the generation, evolution and coupling of coherent structures, the distribution of…

We investigate numerically the Navier-Stokes dynamics of reconnecting vortex rings at small $Re$ number. We find that reconnections are dissipative due to the smoothing of vorticity gradients at reconnection kinks and to the formation of…

Fluid Dynamics · Physics 2009-09-29 Philippe Chatelain , Demosthenes Kivotides , Anthony Leonard

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

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

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…

We study two different types of simplified models for Kelvin wave turbulence on quantized vortex lines in superfluids near zero temperature. Our first model is obtained from a truncated expansion of the Local Induction Approximation…

Chaotic Dynamics · Physics 2015-05-14 Guido Boffetta , Antonio Celani , Davide Dezzani , Jason Laurie , Sergey Nazarenko

Using the vortex filament model and the Gross Pitaevskii nonlinear Schroedinger equation, we show that bundles of quantised vortex lines in helium II are structurally robust and can reconnect with each other maintaining their identity. We…

Statistical Mechanics · Physics 2009-11-13 Sultan Z. Alamri , Anthony J. Youd , Carlo F. Barenghi

We investigate quantum vortex ring dynamics at scales smaller than the inter-vortex spacing in quantum turbulence. Through geometrical arguments and high resolution numerical simulations we examine the validity of simple estimates of the…

Other Condensed Matter · Physics 2015-06-23 Jason Laurie , Andrew W. Baggaley

We present experimental, numerical and theoretical studies of a vortex front propagating into a region of vortex-free flow of rotating superfluid 3He-B. We show that the nature of the front changes from laminar through quasi-classical…

Soft Condensed Matter · Physics 2008-03-05 V. B. Eltsov , A. I. Golov , R. de Graaf , R. H"anninen , M. Krusius , V. S. L'vov , R. E. Solntsev

We develop a microscopic model of mutual friction represented by the dissipative dynamics of a normal fluid flow which interacts with the helical normal modes of vortices comprising a lattice in thermal equilibrium. Such vortices are…

Statistical Mechanics · Physics 2010-02-03 H. M. Cataldo

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

By solving numerically the governing Gross-Pitaevskii equation, we study the dynamics of Kelvin waves on a superfluid vortex. After determining the dispersion relation, we monitor the turbulent decay of Kelvin waves with energy initially…

Fluid Dynamics · Physics 2013-08-06 Davide Proment , Carlo F. Barenghi , Miguel Onorato