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Andreev-Bashkin entrainment makes the hydrodynamics of the binary superfluid solution particularly interesting. We investigate stability and motion of quantum vortices in such system.

Other Condensed Matter · Physics 2024-11-05 L. A. Melnikovsky

Vortices are pervasive in nature, representing the breakdown of laminar fluid flow and hence playing a key role in turbulence. The fluid rotation associated with a vortex can be parameterized by the circulation $\Gamma=\oint {\rm d}{\bf…

Other Condensed Matter · Physics 2015-05-13 N. G. Parker , B. Jackson , A. M. Martin , C. S. Adams

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

Superfluidity and superconductivity have been studied widely since the last century in many different contexts ranging from nuclear matter to atomic quantum gases. The rigidity of these systems with respect to external perturbations results…

Quantum Gases · Physics 2015-05-05 A. Paris-Mandoki , J. Shearring , F. Mancarella , T. M. Fromhold , A. Trombettoni , P. Krüger

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

We numerically model experiments in which large-scale vortex rings - bundles of quantized vortex loops - are created in superfluid helium by a piston-cylinder arrangement. We show that the presence of a normal fluid vortex ring together…

Fluid Dynamics · Physics 2015-06-23 Daniel H. Wacks , Andrew W. Baggaley , Carlo F. Barenghi

Quantized circulation, absence of Galilean invariance due to a clamped normal component, and the vortex mutual friction are the major factors that make superfluid turbulence behave in a way different from that in classical fluids. The model…

Soft Condensed Matter · Physics 2009-11-10 N. B. Kopnin

We propose a phenomenological equation for the vortex line density in rotating Bose-Einstein condensates as a function of the angular speed. This equation provides a simple description of the gross features of the increase in vortex number…

Other Condensed Matter · Physics 2007-12-12 Michele Sciacca , David Jou , Maria Stella Mongioví

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…

Heat is carried in superfluid He-4 by the motion of the normal fluid$^{1}$, a counterflowing superfluid component serving to eliminate any net mass flow. It has been known for many years that above a critical heat current the superfluid…

Fluid Dynamics · Physics 2010-07-22 Wei Guo , Sidney B. Cahn , James A. Nikkel , William F. Vinen , Daniel N. McKinsey

We numerically study the spatial spreading of quantized vortex lines in low temperature liquid helium. The vortex lines, initially concentrated in a small region, diffuse into the surrounding vortex-free helium, a situation which is typical…

Fluid Dynamics · Physics 2019-06-12 Em Rickinson , Nick G. Parker , Andrew W. Baggaley , Carlo F. Barenghi

We apply a recently developed effective string theory for vortex lines to the case of two-dimensional trapped superfluids. We do not assume a perturbative microscopic description for the superfluid, but only a gradient expansion for the…

High Energy Physics - Theory · Physics 2017-09-20 Angelo Esposito , Rafael Krichevsky , Alberto Nicolis

Rapid new developments have occurred in superfluid hydrodynamics since the discovery of a host of unusual phenomena which arise from the diverse structure and dynamics of quantized vortices in 3He superfluids. These have been studied in…

Superconductivity · Physics 2011-02-28 A. P. Finne , V. B. Eltsov , R. Hanninen , N. B. Kopnin , J. Kopu , M. Krusius , M. Tsubota , G. E. Volovik

The idea that the knottedness (hydrodynamic Helicity) of a fluid flow is conserved has a long history in fluid mechanics. The quintessential example of a knotted flow is a knotted vortex filament, however, owing to experimental…

Fluid Dynamics · Physics 2015-06-17 Dustin Kleckner , Martin Scheeler , William T. M. Irvine

Vorticity is a key ingredient to a broad variety of fluid phenomena, and its quantised version is considered to be the hallmark of superfluidity. Circulating flows that correspond to vortices of a large topological charge, termed giant…

I study vortex ring oscillations in a superfluid, trapped in an elongated trap, under the conditions of the Local Density Approximation. On the basis of the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for an…

Quantum Gases · Physics 2013-11-20 Lev P. Pitaevskii

Vorticity in two-dimensional superfluids is subject to intense research efforts due to its role in quantum turbulence, dissipation and the BKT phase transition. Interaction of sound and vortices is of broad importance in Bose-Einstein…

We give a general review of recent developments in the theory of vortices in superfluids and superconductors, discussing why the dynamics of vortices is important, and why some key results are still controversial. We discuss work that we…

Condensed Matter · Physics 2007-05-23 D. J. Thouless , Ping Ao , Qian Niu , M. R. Geller , C. Wexler

Vortices are the hallmarks of hydrodynamic flow. Recent studies indicate that strongly-interacting electrons in ultrapure conductors can display signatures of hydrodynamic behavior including negative nonlocal resistance, Poiseuille flow in…

We show that normal fluid eddies in turbulent helium II polarize the tangle of quantized vortex lines present in the flow, thus inducing superfluid vorticity patterns similar to the driving normal fluid eddies. We also show that the…

Condensed Matter · Physics 2009-11-07 Carlo F. Barenghi , Sarah Hulton , David C. Samuels