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The motion of a quantized vortex is intimately connected with its microscopic structure and the elementary excitations of the surrounding fluid. In this work, we investigate the two-dimensional motion of a single vortex orbiting a pinned…

Using two innovations, smooth, but distinctly different, scaling laws for the numerical reconnection of pairs of initially orthogonal and anti-parallel quantum vortices are obtained using the three-dimensional Gross-Pitaevskii equations,…

Quantum Gases · Physics 2016-02-18 Cecilia Rorai , Jack Skipper , Robert M. Kerr , Katepalli R. Sreenivasan

The dynamics of quantized vortices in rotating $^3$He-B is investigated in the low density (single-vortex) regime as a function of temperature. An abrupt transition is observed at $0.5 T_{\rm c}$. Above this temperature the number of vortex…

Soft Condensed Matter · Physics 2007-05-23 A. P. Finne , V. B. Eltsov , G. Eska , R. Hanninen , J. Kopu , M. Krusius , E. V. Thuneberg , M. Tsubota

A recent experiment has shown that a tangle of quantized vortices in superfluid $^4$He decayed even at mK temperatures where the normal fluid was negligible and no mutual friction worked. Motivated by this experiment, this work studies…

Soft Condensed Matter · Physics 2009-10-31 Makoto Tsubota , Tsunehiko Araki , Sergey K. Nemirovskii

We consider the evolution and dissipation of vortex rings in a condensate at non-zero temperature, in the context of the classical field approximation, based on the defocusing nonlinear Schr\"odinger equation. The temperature in such a…

Soft Condensed Matter · Physics 2009-11-13 Natalia G. Berloff , Anthony J. Youd

A model is developed describing the approach to a finite-time singularity of the Navier-Stokes equations for two interacting vortices. The model is derived from a combination of the Biot-Savart law and an equation describing the evolution…

Fluid Dynamics · Physics 2018-11-21 Keith Moffatt , Yoshifumi Kimura

This study aims to research on dynamics of two quantized vortices in miscible two-component Bose--Einstein condensates, trapped by a circular box potential by using the Gross--Pitaevskii equation. We consider a situation in which two…

Quantum Gases · Physics 2022-01-26 Junsik Han , Kenichi Kasamatsu , Makoto Tsubota

By analyzing trajectories of solid hydrogen tracers in superfluid $^4$He, we identify tens of thousands of individual reconnection events between quantized vortices. We characterize the dynamics by the minimum separation distance…

Statistical Mechanics · Physics 2015-05-13 M. S. Paoletti , Michael E. Fisher , D. P. Lathrop

A system of three point vortices in an unbounded plane has a special family of self-similarly contracting or expanding solutions: during the motion, vortex triangle remains similar to the original one, while its area decreases (grows) at a…

Fluid Dynamics · Physics 2009-10-31 X. Leoncini , L. Kuznetsov , G. M. Zaslavsky

We have used the vortex filament method to numerically investigate the interactions between pairs of quantized vortex rings that are initially traveling in the same direction but with their axes offset by a variable impact parameter. The…

Fluid Dynamics · Physics 2016-08-17 T. Zhu , M. L. Evans , R. A. Brown , P. M. Walmsley , A. I. Golov

We study the magnetization dynamics in a nanocontact magnetic vortex oscillators as function of temperature. Low temperature experiments reveal that the dynamics at low and high currents differ qualitatively. At low currents, we excite a…

The main goal of this paper is to present a comprehensive characterization of well developed vortex tangles in a turbulent counterflow in quantum fluids (with a laminar normal fluid component). We analyze extensive numerical simulations…

Other Condensed Matter · Physics 2014-01-15 Luiza Kondaurova , Victor L'vov , Anna Pomyalov , Itamar Procaccia

The geometry of centre vortices is studied in $\mathrm{SU(3)}$ gauge theory at finite temperature to capture the key structural changes that occur through the deconfinement phase transition. Visualisations of the vortex structure in…

High Energy Physics - Lattice · Physics 2024-08-28 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

The spin dynamics are calculated for a model system consisting of magnetically soft, layered nanomagnets, in which two ferromagnetic (F) cylindrical dots, each with a magnetic vortex ground state, are separated by a non-magnetic spacer (N).…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 K. Yu. Guslienko , K. S. Buchanan , S. D. Bader , V. Novosad

We study reconnections of quantum vortices by numerically solving the governing Gross-Pitaevskii equation. We find that the minimum distance between vortices scales differently with time before and after the vortex reconnection. We also…

Other Condensed Matter · Physics 2015-06-05 S. Zuccher , M. Caliari , A. W. Baggaley , C. F. Barenghi

We study the reconnection of vortices in a quantum fluid with a roton minimum, by numerically solving the Gross-Pitaevskii (GP) equations. A non-local interaction potential is introduced to mimic the experimental dispersion relation of…

Fluid Dynamics · Physics 2018-11-12 Jason Reneuve , Julien Salort , Laurent Chevillard

Reconnection plays a significant role in the dynamics of plasmas, polymers and macromolecules, as well as in numerous laminar and turbulent flow phenomena in both classical and quantum fluids. Extensive studies in quantum vortex…

Fluid Dynamics · Physics 2020-08-12 Jie Yao , Fazle Hussain

The dynamic phase diagram of vortex lattices driven in disorder is calculated in two and three dimensions. A modified Lindemann criterion for the fluctuations of the distance of neighboring vortices is used, which unifies previous analytic…

Superconductivity · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur

Vortices in fluids and superfluids are fundamental to phenomena ranging from Bose-Einstein condensates and superfluid films to neutron stars and hydrodynamic micro-rotors, where background geometry often plays an important role. Curvature…

Mathematical Physics · Physics 2026-05-21 Gaurang Mangesh Joshi , Rickmoy Samanta

Quantum vorticity in polariton systems has been traditionally investigated within the frame of many-body phenomena under the mean-field or coherent approaches. In the present work, we show that the fully quantized picture describes richer…

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