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The motion of assemblies of point vortices in a periodic parallelogram can be described by the complex position $z_j(t)$ whose time derivative is given by the sum of the complex velocities induced by other vortices and the solid rotation…

Fluid Dynamics · Physics 2007-06-08 Makoto Umeki

The dynamics of a constrained three-vortex problem, a free point vortex pair in the velocity field of a fixed point vortex, is investigated. The underlying dynamical system is simplified using a coordinate transformation and categorized…

Fluid Dynamics · Physics 2021-09-06 Sreethin Sreedharan K , Priyanka Shukla

We report the experimental observation of vortex leapfrogging in a two-dimensional fluid of light. By imprinting two vortex-antivortex pairs and tracking their real-time evolution through phase-resolved imaging, we observe a dynamics that…

Quantum Gases · Physics 2025-12-10 Myrann Baker-Rasooli , Nathan du Toit , Nicolas Pavloff , Quentin Glorieux

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 determine the evolution of a cluster of quantum vortices initially placed at the centre of a larger vortex-free region. We find that the cluster spreads out spatially. This spreading motion consists of two effects: the rapid evaporation…

Fluid Dynamics · Physics 2018-08-15 Em Rickinson , Nick G. Parker , Andrew W. Baggaley , Carlo F. Barenghi

We propose that the observed splitting of the vortices in the cuprates into fractional vortices (partons) may be of static rather than of dynamic origin. This interpretation is backed by a study of a model with a dominant d-wave and…

Superconductivity · Physics 2007-09-04 R. Hlubina

We consider a stochastic version of the point vortex system, in which the fluid velocity advects single vortices intermittently for small random times. Such system converges to the deterministic point vortex dynamics as the rate at which…

Probability · Mathematics 2023-11-28 Andrea Agazzi , Francesco Grotto , Jonathan C. Mattingly

Vortex is a central concept in the understanding of turbulent dynamics. Objective algorithms for the detection and extraction of vortex structures can facilitate the physical understanding of turbulence regeneration dynamics by enabling…

Fluid Dynamics · Physics 2019-12-06 Lu Zhu , Li Xi

A phenomenological model is proposed for melting of a vortex lattice, based on screening of the elastic shear modulus by mobile or partially pinned dislocations. A first-order softening line is found and ends at a critical point beyond…

Superconductivity · Physics 2007-05-23 Denis Feinberg

At the very heart of turbulent fluid flows are many interacting vortices that produce a chaotic and seemingly unpredictable velocity field. Gaining new insight into the complex motion of vortices and how they can lead to topological changes…

Fluid Dynamics · Physics 2022-09-01 Karl Lydon , Sergey V. Nazarenko , Jason Laurie

3D-printed microfluidic devices offer new ways to study fluid dynamics. We present the first clear visualization of vortex breakdown in a dividing T-junction flow. By individual control of the inflow and two outflows, we decouple the…

Fluid Dynamics · Physics 2018-06-29 San To Chan , Simon J. Haward , Amy Q. Shen

A circulation redistribution scheme for viscous flow is presented. Unlike other redistribution methods, it operates by transferring the circulation to a set of fixed nodes rather than neighbouring vortex elements. A new distribution of…

Fluid Dynamics · Physics 2010-09-02 O. R. Tutty

This paper illustrates the mechanism of U-shaped vortex formation which is found both by experiment and DNS. The main goal of this paper is to explain how the U-shaped vortex is formed and further develops. According to the results obtained…

Fluid Dynamics · Physics 2014-02-25 Ping Lu , Qin Li , Chaoqun Liu

The splitting of a single optical vortex into four separate ones in a singular beam is theoretically and experimentally described for the propagation of light obliquely through a uniaxial crystal. Also we found the condition under which the…

Optics · Physics 2009-11-13 T. Fadeyeva , A. Rubass , Yu. Egorov , A. Volyar , G. Swartzlander

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

The complex interactions of localized vortices with waves is investigated using a model of point vortices in the presence of a transverse or longitudinal wave. This simple model shows a rich dynamical behavior including oscillations of a…

Plasma Physics · Physics 2013-04-18 Xavier Leoncini , Alberto Verga

Vortices and their analysis play a critical role in the understanding of complex phenomena in turbulent flows. Traditional vortex extraction methods, notably region-based techniques, often overlook the entanglement phenomenon, resulting in…

Fluid Dynamics · Physics 2024-12-19 Adeel Zafar , Zahra Poorshayegh , Di Yang , Guoning Chen

The motion of three interacting point vortices in the plane can be thought of as the motion of three geometrical points endowed with a dynamics. This motion can therefore be re-formulated in terms of dynamically evolving geometric…

Fluid Dynamics · Physics 2018-02-28 Vikas S. Krishnamurthy , Hassan Aref , Mark A. Stremler

The evolution and collapse of a gaseous toroidal vortex under the action of self-gravitation are considered using the Hamiltonian mechanics approach. It is shown that evolution occurs in three main stages separated by characteristic time…

Astrophysics · Physics 2015-06-24 K. Yu. Bliokh , V. M. Kontorovich

We present the analysis of the structure of fermionic vortices with the spin-polarized core from a weak coupling limit to the unitary regime. We show the mechanism for the generation of the {\it reversed circulation} in the vortex core…

Quantum Gases · Physics 2022-10-03 Piotr Magierski , Gabriel Wlazłowski , Andrzej Makowski , Konrad Kobuszewski
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