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Recently, Freilich et al. [Science 329, 1182 (2010)] experimentally discovered stationary states of vortex dipoles, pairs of vortices of opposite circulation, in dilute Bose-Einstein condensates. To explain their observations, we perform…

Quantum Gases · Physics 2011-02-02 Pekko Kuopanportti , Jukka A. M. Huhtamäki , Mikko Möttönen

Quantum mechanics places significant restrictions on the hydrodynamics of superfluid flows. Despite this it has been observed that turbulence in superfluids can, in a statistical sense, share many of the properties of its classical…

Fluid Dynamics · Physics 2020-01-29 Jason Laurie , Andrew W. Baggaley

We introduce a GPU-accelerated variational framework with exact projection onto the Lowest Landau Level to probe vortex patterns in rapidly rotating two-dimensional Bose-Einstein condensates. For repulsive interactions, our approach…

Quantum Gases · Physics 2025-11-18 Bao-Duy Le , Dinh-Thi Nguyen

In this paper we examine the flow generated by coupled surface and internal small-amplitude water waves in a two-fluid layer model, where we take the upper layer to be rotational (constant vorticity) and the lower layer to be irrotational.…

Fluid Dynamics · Physics 2026-01-21 David Henry , Rossen I. Ivanov , Zisis N. Sakellaris

The changes observed in the topology of superfluid helium vortices have intrigued people for some time now [1]. These vortices either extend from wall to wall, however tangled they may be in between, or else can be roughly circular and…

Condensed Matter · Physics 2007-05-23 E. Infeld , A. Senatorski

Vortex filament model has become a standard and powerful tool to visualize the motion of quantized vortices in helium superfluids. In this article, we present an overview of the method and highlight its impact in aiding our understanding of…

Other Condensed Matter · Physics 2014-04-29 Risto Hänninen , Andrew W. Baggaley

Neutron star glitches -- sudden increases in rotational frequency -- are thought to result from angular momentum transfer via quantized vortices in the superfluid core. To investigate the underlying superfluid dynamics, we employ a…

Drain vortices are among the most common vortices observed in everyday life, yet their physics is complex due to the competition of vorticity's transport and diffusion, and the presence of viscous layers and a free surface. Recently, it has…

Fluid Dynamics · Physics 2023-02-22 Wandrille Ruffenach , Luca Galantucci , Carlo F. Barenghi

We study two-dimensional (2D) vortex quantum droplets (QDs) trapped by a thicker transverse confinement with a>1um. Under this circumstance, the Lee-Huang-Yang (LHY) term should be described by its original form in the three-dimensional…

Quantum Gases · Physics 2020-10-28 Zeda Lin , Xiaoxi Xu , Zikang Chen , Ziteng Yan , Zhijie Mai , Bin Liu

We present theory of two-dimensional turbulence excited by an external force in thin fluid films on scales larger than the film thickness. The principal feature of two-dimensional turbulence is the tendency of producing motions of larger…

Fluid Dynamics · Physics 2024-03-07 Igor V. Kolokolov , Vladimir V. Lebedev

Vortex-antivortex pairs in 2D easy-plane ferromagnets have characteristics of solitons in two dimensions. We investigate numerically and analytically the dynamics of such vortex pairs. In particular we simulate numerically the head-on…

Condensed Matter · Physics 2009-11-07 A. S. Kovalev , S. Komineas , F. G. Mertens

Particles have been used for more than a decade to visualize and study the dynamics of quantum vortices in superfluid helium. In this work we study how the dynamics of a collection of particles set inside a vortex reflects the motion of the…

Other Condensed Matter · Physics 2020-05-20 Umberto Giuriato , Giorgio Krstulovic , Sergey Nazarenko

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…

We derive the nonlinear equations governing the dynamics of three-dimensional (3D) disturbances in a nonuniform rotating self-gravitating fluid under the assumption that the characteristic frequencies of disturbances are small compared to…

Pattern Formation and Solitons · Physics 2023-02-15 Volodymyr M. Lashkin , Oleg K. Cheremnykh , Zahida Ehsan , Nazia Batool

We study standing wave solutions to nonlinear Schr{\"o}dinger equations, on a manifold with a rotational symmetry, which transform in a natural fashion under the group of rotations. We call these vortex solutions. They are higher…

Analysis of PDEs · Mathematics 2013-10-04 Jeremy L. Marzuola , Michael E. Taylor

We study the stability of the vortex in a 2D model of continuous compressible media in a uniformly rotating reference frame. As it is known, the axisymmetric vortex in a fixed reference frame is stable with respect to asymmetric…

Mathematical Physics · Physics 2015-11-24 Olga S. Rozanova , Jui-Ling Yu , Marko K. Turzynsky , Chin-Kun Hu

By using direct numerical simulations (DNS) at unprecedented resolution we study turbulence under rotation in the presence of simultaneous direct and inverse cascades. The accumulation of energy at large scale leads to the formation of…

The venerable 2D point-vortex model plays an important role as a simplified version of many disparate physical systems, including superfluids, Bose-Einstein condensates, certain plasma configurations, and inviscid turbulence. This system is…

Chaotic Dynamics · Physics 2013-05-29 Spencer A. Smith , Bruce M. Boghosian

Geometric analysis of steady pseudo-plane ideal flow reveals a fundamental relation between vertical coherence and streamline topology. It shows vertical alignment only exists in straightline jet and circular vortex. A geometric stability…

Fluid Dynamics · Physics 2017-01-27 Che Sun

The behavior of a dilute two-component superfluid Fermi gas subjected to rotation is investigated within the context of a weak-coupling BCS theory. The microscopic properties at finite temperature are obtained by iterating the Bogoliubov-de…

Superconductivity · Physics 2009-11-10 David L. Feder