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We study structure formation in two-dimensional turbulence driven by an external force, interpolating between linear instability forcing and random stirring, subject to nonlinear damping. Using extensive direct numerical simulations, we…

Fluid Dynamics · Physics 2024-01-09 A. van Kan , B. Favier , K. Julien , E. Knobloch

The study of quantum vortices provides critical insights into non-equilibrium dynamics across diverse physical systems. While previous research has focused on point-like vortices in two dimensions and line-like vortices in three dimensions,…

Quantum Gases · Physics 2025-04-17 Wei-can Yang

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

In two dimensions a microscopic theory providing a basis for the naive analogy between a quantized vortex in a superfluid and an electron in a uniform magnetic field is presented. Following the variational approach developed by Peierls,…

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

It is well-known that the dynamics of vortices in an ideal incompressible two-dimensional fluid contained in a bounded not necessarily simply connected smooth domain is described by the Kirchhoff--Routh point vortex system. In this paper,…

Analysis of PDEs · Mathematics 2020-05-26 Stefano Ceci , Christian Seis

Vortex dynamics in fermionic superfluids is carefully considered from the microscopic point of view. Finite temperatures, as well as impurities, are explicitly incorporated. To enable readers understand the physical implications,…

Condensed Matter · Physics 2009-10-31 P. Ao , X. -M. Zhu

Through Ginzburg-Landau and Navier-Stokes equations, we study turbulence phenomena for viscous incompresible and compressible fluids by a second order phase transition. For this model, the velocity is defined by the sum of classical and…

Fluid Dynamics · Physics 2018-05-18 Mauro Fabrizio

A relative Liutex vortex identification method is proposed in this study, together with its explicit mathematical formulation. The method is designed to identify vortical structures based solely on local flow-field information and is…

Fluid Dynamics · Physics 2026-01-01 Jiawei Chen , Yifei Yu , Chaoqun Liu

We present a detailed study of a single vortex in a holographic symmetry breaking phase. At low energies the system flows to an nontrivial conformal fixed point. Novel vortex physics arises from the interaction of these gapless degrees of…

High Energy Physics - Theory · Physics 2015-06-17 Oscar J. C. Dias , Gary T. Horowitz , Nabil Iqbal , Jorge E. Santos

We propose an alternative approach to the dissipative vortex dynamics occurring in a superfluid vortex lattice at finite temperatures. Focusing upon the pseudomomentum of a vortex and its surrounding quasiparticles, we derive an equation of…

Statistical Mechanics · Physics 2008-06-30 H. M. Cataldo

This article concerns the equations of motion of perfect incompressible fluids in a 3-D, smooth, bounded, simply connected domain. We suppose that the curl of the initial velocity field is a vortex patch, and examine the classical problems…

Analysis of PDEs · Mathematics 2007-05-23 Alexandre Dutrifoy

The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback is investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear…

Pattern Formation and Solitons · Physics 2022-10-27 T. Ackemann , T. Guillet , H. Pulham , G. -L. Oppo

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 superfluid flow velocity is proportional to the gradient of the phase of the superfluid order parameter, leading to the quantization of circulation around a vortex core. In this work, we study the dynamics of a superfluid film on the…

Quantum Gases · Physics 2020-05-11 Nils-Eric Guenther , Pietro Massignan , Alexander L. Fetter

We present a microscopic derivation of the equation of motion for a vortex in a superconductor. A coherent view on vortex dynamics is obtained, in which {\it both} hydrodynamics {\it and} the vortex core contribute to the forces acting on a…

The equations of viscous evolution of 3D arbitrarily shaped vortices in an isotropic type II superconductor and necessary boundary conditions are formulated in the frame of London approximation. The theory is applied to analyse…

Superconductivity · Physics 2007-05-23 Yu. E. Kuzovlev

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

A non-relativistic scalar field coupled minimally to electromagnetism supports in the presence of a homogeneous background electric charge density the existence of smooth, finite-energy topologically stable flux vortices. The static…

High Energy Physics - Theory · Physics 2009-09-25 G. N. Stratopoulos , T. N. Tomaras

Vortex stretching in a compressible fluid is considered. Two-dimensional and axisymmetric cases are considered separately. The flows associated with the vortices are perpendicular to the plane of the uniform straining flows.…

Fluid Dynamics · Physics 2009-11-11 Bhimsen K. Shivamoggi

Quantum vortices are commonly described as funnel-like objects around which the superfluid swirls, and their motion is typically modeled in terms of massless particles. Here we show that in Fermi superfluids the normal component confined in…