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We study vortices in a radially inhomogeneous superfluid, as realized by a trapped degenerate Bose gas in a uniaxially symmetric potential. We show that, in contrast to a homogeneous superfluid, an off-axis vortex corresponds to an…

Statistical Mechanics · Physics 2009-11-10 Daniel E. Sheehy , Leo Radzihovsky

We show that in a dilute Fermionic superfluid, when the Fermions interact with an infinite scattering length, a vortex state is characterized by a strong density depletion along the vortex core. This feature can make a direct visualization…

Statistical Mechanics · Physics 2008-11-26 Aurel Bulgac , Yongle Yu

Under suitable forcing a fluid exhibits turbulence, with characteristics strongly affected by the fluid's confining geometry. Here we study two-dimensional quantum turbulence in a highly oblate Bose-Einstein condensate in an annular trap.…

Holographic duality provides a first-principles approach to investigate real time processes in quantum many-body systems, in particular at finite temperature and far-from-equilibrium. We use this approach to study the dynamical evolution of…

High Energy Physics - Theory · Physics 2015-12-09 Yiqiang Du , Chao Niu , Yu Tian , Hongbao Zhang

We report on the free decay of quasi-two-dimensional turbulence in superfluid $^4$He confined within nanofluidic channels. Using a pump-probe technique, we observe a complex decay of the vortex density $L(t)$ that deviates from a simple…

Fluid Dynamics · Physics 2026-03-04 Filip Novotný , Marek Talíř , Emil Varga

We analyze velocity fluctuations inside coherent vortices generated as a result of the inverse cascade in the two-dimensional ($2d$) turbulence in a finite box. As we demonstrated in \cite{16KL}, the universal velocity profile, established…

Fluid Dynamics · Physics 2016-12-21 I. V. Kolokolov , V. V. Lebedev

The flow of superfluid $^4$He around a translationally oscillating sphere, levitating without mechanical support, can either be laminar or turbulent, depending on the velocity amplitude. Below a critical velocity $v_c$ that scales as…

Other Condensed Matter · Physics 2017-11-17 Michael Niemetz , Risto Hänninen , Wilfried Schoepe

When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study…

Quantum Gases · Physics 2026-04-14 Ying Zhu , Giorgio Krstulovic , Sergey Nazarenko

The appearance of sharp vorticity gradients in two-dimensional hydrodynamic turbulence and their influence on the turbulent spectra is considered. We have developed the analog of the vortex line representation as a transformation to the…

Fluid Dynamics · Physics 2007-05-23 E. A. Kuznetsov , V. Naulin , A. H. Nielsen , J. Juul Rasmussen

Shell models provide a simplified mathematical framework that captures essential features of incompressible fluid turbulence, such as the energy cascade and scaling of the fluid observables. We perform a precision analysis of the direct and…

Fluid Dynamics · Physics 2024-09-19 James Creswell , Viatcheslav Mukhanov , Yaron Oz

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

An alternative approach to the derivation of the force on a vortex based in an adiabatic approximation in the action of the superfluid system is developed. Assuming that the vortex motion is relatively slow compared with the characteristic…

Condensed Matter · Physics 2007-05-23 C. Wexler , D. J. Thouless

Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

Fluid Dynamics · Physics 2021-08-04 Javier Jiménez

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 4/5-law of turbulence, which characterizes the energy cascade from large to small-sized eddies at high Reynolds numbers in classical fluids, is verified experimentally in a superfluid 4He wind tunnel, operated down to 1.56 K and up to…

Fluid Dynamics · Physics 2012-02-06 Julien Salort , Benoît Chabaud , Emmanuel Lévêque , Philippe-E. Roche

Two dimensional passive scalar turbulence is studied by means of a k-space diffusion model based on a third order differential approximation. This simple description of local nonlinear interactions in Fourier space is shown to present a…

Fluid Dynamics · Physics 2019-10-08 Pierre Morel , Shaokang Xu , Özgür D. Gürcan

We have found an infinite dimensional manifold of exact solutions of the Navier-Stokes loop equation for the Wilson loop in decaying Turbulence in arbitrary dimension $d >2$. This solution family is equivalent to a fractal curve in complex…

Fluid Dynamics · Physics 2023-10-26 Alexander Migdal

The inverse cascade in two-dimensional hydrodynamic turbulence exhibits a mysterious phenomenon. Numerical simulations have shown that the nodal isolines of certain scalars actively transported in the flow (eg, the vorticity in…

High Energy Physics - Theory · Physics 2025-05-16 Christopher Eling

Quantised vortices are remarkable manifestations on a macroscopic scale of the coherent nature of quantum fluids, and the study of their properties is of fundamental importance for the understanding of this peculiar state of matter.…

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