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The system of four point vortices in the plane has relative equilibria that behave as composite particles, in the case where three of the vortices have strength $-\Gamma/3$ and one of the vortices has strength $\Gamma$. These relative…

Mathematical Physics · Physics 2007-05-23 G. W. Patrick

We carry out numerical simulation of the formation of U(1) global vortices in a first order phase transition in 2+1 dimensions in the presence of small explicit symmetry breaking. Bubbles of broken symmetry phase are randomly nucleated,…

High Energy Physics - Phenomenology · Physics 2009-10-30 Sanatan Digal , Supratim Sengupta , Ajit M. Srivastava

A set of equations according to which the conducting medium consists of two fluids - laminar and vortex, has been obtained in the present paper by transforming MHD equations. In a similar way, an electronic fluid is assumed to consist of a…

chao-dyn · Physics 2009-10-22 N. B. Volkov , A. M. Iskoldsky

We investigate the structure of vortex states in rotating two-component Bose-Einstein condensates with equal intracomponent but varying intercomponent coupling constants. A phase diagram in the intercomponent-coupling versus…

Condensed Matter · Physics 2009-11-10 Kenichi Kasamatsu , Makoto Tsubota , Masahito Ueda

Formation and evolution of topological defects in course of non-equilibrium symmetry breaking phase transitions is of wide interest in many areas of physics, from cosmology through condensed matter to low temperature physics. Its study in…

High Energy Physics - Theory · Physics 2021-03-17 Hua-Bi Zeng , Chuan-Yin Xia , Hai-Qing Zhang

We experimentally and numerically study the collapse dynamics of a quantum vortex in a two-dimensional atomic superfluid following a fast interaction ramp from repulsion to attraction. We find the conditions and time scales for a superfluid…

We derive a set of equations that describe the shape and behaviour of a single perturbed vortex line in a Bose-Einstein condensate. Through the use of a matched asymptotic expansion and a unique coordinate transform a relation for a…

Quantum Gases · Physics 2013-05-30 Lyndon Koens , Andrew M. Martin

We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase…

Other Condensed Matter · Physics 2009-11-13 Kenichi Kasamatsu , Makoto Tsubota

We study theoretically dynamical phases of vortices in superconducting films with arrays of obstacles. By performing a series of molecular dynamics simulations and analytical calculations, we demonstrate the existence of a phase of…

Superconductivity · Physics 2011-07-11 Rogério M. da Silva , Clécio C. de Souza Silva

Our understanding of the mechanism by which topological defects are formed in symmetry breaking phase transitions has recently changed. We examine the non-equilibrium dynamics of defect formation for weakly-coupled global O(N) theories…

High Energy Physics - Theory · Physics 2010-11-01 A. J. Gill , R. J. Rivers

Self-propelled point-like particles move along circular trajectories when their translocation velocity is constant and the angular velocity related to their orientation vector is also constant. We investigate the collective behavior of…

Biological Physics · Physics 2014-02-04 Yingzi Yang , Feng Qiu , Gerhard Gompper

We study the behaviour of interacting self-propelled particles, whose self-propulsion speed decreases with their local density. By combining direct simulations of the microscopic model with an analysis of the hydrodynamic equations obtained…

Statistical Mechanics · Physics 2012-06-25 F. D. C. Farrell , J. Tailleur , D. Marenduzzo , M. C. Marchetti

The flow past inline oscillating rectangular cylinders is studied numerically at a Reynolds number representative of two-dimensional flow. A symmetric mode, known as S-II, consisting of a pair of oppositely-signed vortices on each side,…

Fluid Dynamics · Physics 2010-12-13 Srikanth Toppaladoddi , Harish N Dixit , Rao Tatavarti , Rama Govindarajan

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R.…

Soft Condensed Matter · Physics 2016-05-02 Robert Großmann , Pawel Romanczuk , Markus Bär , Lutz Schimansky-Geier

Nonequilibrium condensate systems such as exciton-polariton condensates are capable of supporting a spontaneous vortex nucleation. The spatial inhomogeneity of pumping field or/and disordered potential creates velocity flow fields that may…

Statistical Mechanics · Physics 2010-11-08 Natalia G. Berloff

We study vortex excitations in one-component Bose-Einstein condensates, with a special emphasis on the role of anisotropic confinement for the existence, stability and dynamical properties of vortices and particularly few-vortex clusters.…

Quantum Gases · Physics 2014-04-02 J. Stockhofe , P. G. Kevrekidis , P. Schmelcher

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

From a new anti-parallel initial condition using long vortices, three-dimensional turbulence forms after two reconnection steps and the formation of at least one vortex ring. The long domain is needed in order to accommodate the multiple…

Fluid Dynamics · Physics 2013-01-21 Robert M. Kerr

We study the formation and the dynamics of vortex lines in rotating scalar dark matter halos, focusing on models with quartic repulsive self-interactions. In the nonrelativistic regime, vortex lines and their lattices arise from the…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Ph. Brax , P. Valageas

The equilibrium behavior of vortices in the classical two-dimensional (2D) XY model with uncorrelated random phase shifts is investigated. The model describes Josephson-Junction arrays with positional disorder, and has ramifications in a…

Condensed Matter · Physics 2009-10-28 Lei-Han Tang