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We study the motion of a single helical vortex in an unbounded, inviscid, incompressible fluid. The vortex is an infinite tube whose centerline is a helix and whose cross section is a circle of small radius (compared to the radius of…

Fluid Dynamics · Physics 2015-08-04 Oscar Velasco Fuentes

The static and dynamic properties of vortices in dipolar Bose-Einstein condensates (dBECs) can be considerably modified relative to their nondipolar counterparts by the anisotropic and long-ranged nature of the dipole-dipole interaction.…

Quantum Gases · Physics 2024-06-24 Srivatsa B. Prasad , Nick G. Parker , Andrew W. Baggaley

We investigate the dynamics of $N$ point vortices in the plane, in the limit of large $N$. We consider {\em relative equilibria}, which are rigidly rotating lattice-like configurations of vortices. These configurations were observed in…

Quantum Gases · Physics 2014-02-04 Yuxin Chen , Theodore Kolokolnikov , Daniel Zhirov

We study the dynamics of vortices in an asymmetric ring channel driven by an external current I in a Corbino setup. The asymmetric potential can rectify the motion of vortices and cause a net flow without any unbiased external drive, which…

Superconductivity · Physics 2011-10-10 N. S. Lin , T. W. Heitmann , K. Yu , B. L. T. Plourde , V. R. Misko

For thin films of superfluid adsorbed on a disordered substrate, we derive the equation of motion for a vortex in the presence of a random potential within a mean field (Hartree) description of the condensate. The compressible nature of the…

Statistical Mechanics · Physics 2009-10-31 H. H. Lee , J. M. F. Gunn

We use numerical simulations to examine vortex states and dynamics in periodic funnel geometries where a drive is applied in the easy flow direction. We show that this system exhibits a number of different commensurability effects when the…

Superconductivity · Physics 2011-02-10 C. J. Olson Reichhardt , C. Reichhardt

We study the massive point-vortex model introduced in Ref. [Phys. Rev. A 101, 013630 (2020)], which describes two-dimensional point vortices of one species that have small cores of a different species. We derive the relevant Lagrangian…

Quantum Gases · Physics 2021-02-09 Andrea Richaud , Vittorio Penna , Alexander L. Fetter

Particles have been used for more than a decade to visualize and study the dynamics of quantum vortices in superfluid helium. In this work we study how the dynamics of a collection of particles set inside a vortex reflects the motion of the…

Other Condensed Matter · Physics 2020-05-20 Umberto Giuriato , Giorgio Krstulovic , Sergey Nazarenko

It is shown that the hydrodynamics equations for a thin spherical liquid layer are satisfied by the stream function of a pair of antipodal vortices-APV, in contrast to the stream function of a single point vortex on a sphere with a…

Fluid Dynamics · Physics 2020-11-25 Igor I. Mokhov , Sergey G. Chefranov , Alexander G. Chefranov

A trapped Bose-Einstein condensed atomic gas containing a quantized vortex is predicted to exhibit precession after a sudden rotation of the confining potential. The equations describing the motion of the condensate are derived and the…

Condensed Matter · Physics 2016-08-31 S. Stringari

We study the phase distribution around a vortex in uniform motion. We consider both the cases of neutral and charged superfluids. The motion of the vortex causes the density of the system to fluctuate. This in turn produces a compensating…

Superconductivity · Physics 2009-10-31 D. M. Gaitonde

We consider the detailed dynamics of an array of quantised superfluid vortices in the framework of general relativity, as required for quantitative modelling of realistic neutron star cores. Our model builds on the variational approach to…

General Relativity and Quantum Cosmology · Physics 2016-12-07 N. Andersson , S. Wells , J. A. Vickers

In two dimensions the microscopic theory, which provides a basis for the naive analogy between a quantized vortex in a superfluid and an electron in an uniform magnetic field, is presented. A one-to-one correspondence between the rotational…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

Rectangular pinning arrays of Ni dots define a potential landscape for vortex motion in Nb films. Magnetotransport experiments in which two in-plane orthogonal electrical currents are injected simultaneously allow selecting the direction…

Superconductivity · Physics 2009-11-10 J. E. Villegas , E. M. Gonzalez , M. I. Montero , Ivan K. Schuller , J. L. Vicent

In this paper we prove that the motion of a solid body in a two dimensional incompressible perfect fluid converges, when the body shrinks to a point with fixed mass and circulation, to a variant of the vortex-wave system where the vortex,…

Analysis of PDEs · Mathematics 2011-04-29 Olivier Glass , Christophe Lacave , Franck Sueur

Vortices and vortex arrays have been used as a hallmark of superfluidity in rotated, ultracold Fermi gases. These superfluids can be described in terms of an effective field theory for a macroscopic wave function representing the field of…

Quantum Gases · Physics 2016-09-21 S. N. Klimin , J. Tempere , N. Verhelst , M. V. Milošević

We investigate the stability of self-propelled particle flocks in the Taylor-Green vortex, a steady vortical flow. We consider a model where particles align themselves to a combination of the orientation and the acceleration of particles…

Biological Physics · Physics 2016-07-13 Andrew W. Baggaley

The Gross-Pitaevskii equation is widely used for vortex dynamics, but finite domains with hard walls or confining potentials distort bulk behavior through vortex-image effects or induced flows. Periodic boundaries reduce wall artifacts yet…

Quantum Gases · Physics 2026-01-06 Fabio Magistrelli , Marco Antonelli

We study the evolution of a concentrated vortex advected by a smooth, divergence-free velocity field in two space dimensions. In the idealized situation where the initial vorticity is a Dirac mass, we compute an approximation of the…

Analysis of PDEs · Mathematics 2026-03-24 Martin Donati , Thierry Gallay

Spinorial or multi-component Bose-Einstein condensates may sustain fractional quanta of circulation, vorticant topological excitations with half integer windings of phase and polarization. Matter-light quantum fluids, such as microcavity…