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Kinetics of merging and breaking down vortex loops is the important part of the whole vortex tangle dynamics. Another part is the motion of individual lines, which obeys the Biot-Savart law in presence of friction force and of applied…

Superconductivity · Physics 2009-11-11 Sergey K. Nemirovskii

The tangled nodal lines (wave vortices) in random, three-dimensional wavefields are studied as an exemplar of a fractal loop soup. Their statistics are a three-dimensional counterpart to the characteristic random behaviour of nodal domains…

Computational Physics · Physics 2018-02-14 Alexander J. Taylor

Collisions in a beam of unidirectional quantized vortex rings of nearly identical radii $R$ in superfluid $^4$He in the limit of zero temperature (0.05 K) were studied using time-of-flight spectroscopy. Reconnections between two primary…

Other Condensed Matter · Physics 2014-09-19 P. M. Walmsley , P. A. Tompsett , D. E. Zmeev , A. I. Golov

Reconnections between quantum vortex filaments in presence of trapped particles are investigated using numerical simulations of the Gross--Pitaevskii equation. Particles are described with classical degrees of freedom and modeled as highly…

Fluid Dynamics · Physics 2020-09-18 Umberto Giuriato , Giorgio Krstulovic

One of the characteristic features of turbulent flows is the emergence of many vortices which interact, deform, and intersect, generating a chaotic movement. The evolution of a pair of vortices, e.g. condensation trails of a plane, can be…

Analysis of PDEs · Mathematics 2023-07-19 Sergei Iakunin , Luis Vega

Interactions and reconnections of vortices are fundamental in many areas of physics, including classical and quantum fluids where they are central to understanding phenomena such as turbulence. In three-dimensional (3D) superfluids, quantum…

Quantum Gases · Physics 2024-11-26 H. A. J. Middleton-Spencer , B. McCanna , D. Proment , H. M. Price

A symmetric anti-parallel quantum pair of vortices is simulated using the three-dimensional Gross-Pitaevski equations. The initial development before cores interact directly demonstrates the traditional vortex dynamics of stretching,…

Quantum Gases · Physics 2010-09-22 Robert M. Kerr

We propose a phenomenological model of vortex tube reconnection at high Reynolds numbers. The basic picture is that squeezed vortex lines, formed by stretching in the region of closest approach between filaments, interact like dipoles…

Soft Condensed Matter · Physics 2009-10-31 L. Moriconi

When two vortices cross, each of them breaks into two parts and exchanges part of itself for part of the other. This process, called vortex reconnection, occurs in classical as well as superfluids, and in magnetized plasmas and…

Other Condensed Matter · Physics 2009-11-13 Gregory P. Bewley , Matthew S. Paoletti , Katepalli R. Sreenivasan , Daniel P. Lathrop

By performing numerical simulations of superfluid vortex ring collisions we make direct quantitative measurements of the sound energy released due to vortex reconnections. We show that the energy radiated expressed in terms of the loss of…

Soft Condensed Matter · Physics 2009-10-31 M. Leadbeater , T. Winiecki , D. C. Samuels , C. F. Barenghi , C. S. Adams

In a concurrent work, Villois et al. 2020 reported the evidence that vortex reconnections in quantum fluids follow an irreversible dynamics, namely vortices separate faster than they approach; such time-asymmetry is explained by using…

Fluid Dynamics · Physics 2020-10-20 Davide Proment , Giorgio Krstulovic

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

An inverse turbulent cascade in a periodic square box produces a coherent system-sized vortex dipole. We study the statistics of its motion by carrying out direct numerical simulations performed for various bottom friction $\alpha$, pumping…

Fluid Dynamics · Physics 2024-01-25 Vladimir Parfenyev

An inverse cascade - energy transfer to progressively larger scales - is a salient feature of two-dimensional turbulence. If the cascade reaches the system scale, it creates a coherent flow expected to have the largest available scale and…

Chaotic Dynamics · Physics 2017-04-05 Anna Frishman , Jason Laurie , Gregory Falkovich

Rotating clusters or vortices are formations of agents that rotate around a common center. These patterns may be found in very different contexts: from swirling fish to surveillance drones. Here, we propose a minimal model for…

Adaptation and Self-Organizing Systems · Physics 2023-05-16 Julia Cantisán , Jesús M. Seoane , Miguel A. F. Sanjuán

When a drop falls from a moderate height into a shallow fluid pool whose depth is of the order of the drop-radius two pairs of vortex rings are generated. The inner pair forms at the edge of the crater created by the impacting drop while…

Fluid Dynamics · Physics 2013-05-06 Andreas Wilkens , David Auerbach , GertJan van Heijst

A large scale parametric study of the flow over the prolate spheroid is presented to understand the effect of Reynolds number and angle of attack on the separation, the wake formation and the loads. Large-Eddy Simulation is performed for…

Fluid Dynamics · Physics 2025-07-08 Marc Plasseraud , Krishnan Mahesh

A theory is developed to describe the superfluid turbulence on the base of kinetics of the merging and splitting vortex loops. Because of very frequent reconnections the vortex loops (as a whole) do not live long enough to perform any…

Statistical Mechanics · Physics 2009-11-13 Sergey K. Nemirovskii

Experimental and simulational studies of the dynamics of vortex reconnections in quantum fluids showedthat the distance $d$ between the reconnecting vortices is close to a universal time dependence $d=D[\kappa|t_0-t|]^\alpha$ with $\alpha$…

Other Condensed Matter · Physics 2015-06-16 Laurent Boué , Dmytro Khomenko , Victor S. L'vov , Itamar Procaccia

We study the dynamics of coupled phase oscillators on a two-dimensional Kuramoto lattice with periodic boundary conditions. For coupling strengths just below the transition to global phase-locking, we find localized spatiotemporal patterns…

Dynamical Systems · Mathematics 2016-07-27 Bertrand Ottino-Loffler , Steven Strogatz
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