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Vortex motion is a complex problem due to the interplay between the short-range physics at the vortex core level and the long-range hydrodynamical effects. Here we show that the hydrodynamic equations of vortex motion in a compressible…

Quantum Gases · Physics 2017-02-15 L. A. Toikka , J. Brand

The vortex method is a common numerical and theoretical approach used to implement the motion of an ideal flow, in which the vorticity is approximated by a sum of point vortices, so that the Euler equations read as a system of ordinary…

Analysis of PDEs · Mathematics 2020-04-03 Diogo Arsénio , Emmanuel Dormy , Christophe Lacave

Dynamics of quantized vortex lines in a superfluid feature symmetries associated with the geometric character of the complex-valued field, $w(z)=x(z)+iy(z)$, describing the instant shape of the line. Along with a natural set of Noether's…

Other Condensed Matter · Physics 2015-05-19 Evgeny Kozik , Boris Svistunov

The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of them can be described by simple mathematical functions: there…

Fluid Dynamics · Physics 2018-08-23 F. Lam

Vinen's vibrating wire experiment detected quantized vortices in superfluid 4He, with the anticipated circulation quantum h/m. In addition to this main result, Vinen used his data to propose other properties and behaviors of vortices, which…

Superconductivity · Physics 2023-06-28 R. J. Zieve

The two-dimensional solitary waves of the Gross-Pitaevskii equation in the Kadomtsev-Petviashvili limit are unstable with respect to three-dimensional perturbations. We elucidate the stages in the evolution of such solutions subject to…

Soft Condensed Matter · Physics 2009-11-07 Natalia G. Berloff

We investigate theoretically the creation, persistence and detection of quantized vortices in nonequilibrium polariton condensates within a stochastic classical field model. The life time of the quantized vortices is shown to increase with…

Quantum Gases · Physics 2009-04-21 Michiel Wouters , Vincenzo Savona

Quantized vortices in a complex wave field described by a defocusing nonlinear Schr\"odinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external…

Pattern Formation and Solitons · Physics 2019-07-11 Victor P. Ruban

The formation and dynamics of topological defects of different structure has been of central interest in the study of the 3He superfluids. Compared to superfluid 4He-II, the variability of the important parameters with temperature and…

Other Condensed Matter · Physics 2024-08-23 V. B. Eltsov , M. Krusius , G. E. Volovik

The dynamical equation of the boundary vorticity has been obtained, which shows that the viscosity at a solid wall is doubled as if the fluid became more viscous at the boundary. For certain viscous flows the boundary vorticity can be…

Fluid Dynamics · Physics 2023-08-28 V. Cherepanov , J. Liu , Z. Qian

The effects of cavitation on the flow around a circular-cylinder array are studied by using a molecular dynamics simulation. Cavitation significantly affects on vortex shedding characteristics. As the cavitation develops,the vibration…

Fluid Dynamics · Physics 2020-02-19 Yuta Asano , Hiroshi Watanabe , Hiroshi Noguchi

The vorticity plays an important role in aerodynamics and rotational flow. Usually, they are studied with modified Navier-Stokes equation. This research will deduce the motion equation of vorticity from Navier-Stokes equation. To this…

Fluid Dynamics · Physics 2007-05-23 Xiao Jianhua

Dynamical vortex production and quantum turbulence emerging in periodic perturbed quasi-two-dimensional (q2D) Bose-Einstein condensates are reported by considering two distinct time-dependent approaches. In both cases, dynamical simulations…

Quantum Gases · Physics 2024-01-19 L. Tomio , A. N. da Silva , S. Sabari , R. Kishor Kumar

We simulate the Gross-Pitaevskii equation to model the development of turbulence in a quantum fluid confined by a cuboid box potential, and forced by shaking along one axis. We observe the development of isotropic turbulence from…

Quantum Gases · Physics 2025-02-12 Tommy Z. Fischer , Ashton S. Bradley

The equilibrium configurations of neutron superfluid vortices interacting with proton superconductor flux tubes in a rotating, harmonic trap are non-trivial in general, when the magnetorotational symmetry is broken. A non-zero angle…

High Energy Astrophysical Phenomena · Physics 2018-02-01 L. V. Drummond , A. Melatos

To produce a vortex, a torque must be applied to the fluid. In viscous fluids, the torques that produce turbulent vortices result from the loss of symmetry of the stress tensor, once the viscous friction exceeds the shear stress resistance…

General Physics · Physics 2020-04-21 A. Paglietti

The experimental realization of quantum-degenerate Bose gases made of atoms with sizeable magnetic dipole moments has created a new type of fluid, known as a quantum ferrofluid, which combines the extraordinary properties of superfluidity…

Quantum Gases · Physics 2017-03-08 A. M. Martin , N. G. Marchant , D. H. J. O'Dell , N. G. Parker

Within the simplest holographic superfluid model and without any ingredients put by hand, it is shown that vortices can be generated when the angular velocity of rotating superfluids exceeds certain critical values, which can be precisely…

High Energy Physics - Theory · Physics 2021-04-06 Xin Li , Yu Tian , Hongbao Zhang

Peculiar dynamics of a free surface of the superfluid 4He has been observed experimentally with a newly established technique utilizing a number of electrically charged fine metal particles trapped electrically at the surface by Moroshkin…

Other Condensed Matter · Physics 2019-01-30 S. Inui , M. Tsubota , P. Moroshkin , P. Leiderer , K. Kono

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