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One of the ubiquitous features of real-life turbulent flows is the existence and persistence of coherent vortices. Here we show that such coherent vortices can be extracted as clusters of Lagrangian trajectories. We carry out the clustering…

Chaotic Dynamics · Physics 2016-07-06 Alireza Hadjighasem , Daniel Karrasch , Hiroshi Teramoto , George Haller

It is shown using numerical simulations that flow patterns around an obstacle potential moving in a superfluid exhibit hysteresis. In a certain velocity region, there is a bistability between stationary laminar flow and periodic vortex…

Quantum Gases · Physics 2015-06-19 Tsuyoshi Kadokura , Jun Yoshida , Hiroki Saito

Non-linear oscillations of an elliptical cylinder, that can rotate about an axis that passes through its symmetry axle due to a torsional spring and hydrodynamic torque produced by the flow of a Newtonian fluid, were analysed in terms of a…

Fluid Dynamics · Physics 2023-07-28 F. Mandujano , E. Vázquez-Luis

Vortex rings are remarkably stable structures occurring in numerous systems: for example in turbulent gases, where they are at the origin of weather phenomena [1]; in fluids with implications for biology [2]; in electromagnetic discharges…

Quantum turbulence shares many similarities with classical turbulence in the isotropic and homogeneous case, despite the inviscid and quantized nature of its vortices. However, when quantum fluids are subjected to rotation, their turbulent…

Quantum Gases · Physics 2025-06-23 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

We analytically examine fluctuations of vorticity excited by an external random force in two-dimensional fluid. We develop the perturbation theory enabling one to calculate nonlinear corrections to correlation functions of the flow…

Fluid Dynamics · Physics 2024-03-28 I. V. Kolokolov , V. V. Lebedev , V. M. Parfenyev

Thin cylindrical membranes arise in a wide variety of biological systems ranging from tubular structures on and within cell membranes to in-vitro experiments on artificial vesicles. Motor proteins embedded in such fluidic membranes often…

Fluid Dynamics · Physics 2025-07-09 Udaya Maurya , Surya Teja Gavva , Arpan Saha , Rickmoy Samanta

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

Physical properties of the vortex solid phase formed in the second Landau level (2LL), which may be stabilized by strong paramagnetic pairbreaking (PPB), are examined in type II limit with no magnetic screening. First, it is shown that the…

Superconductivity · Physics 2025-04-28 Yuto Yokota , Dai Nakashima , Ryusuke Ikeda

Kinetic helicity is one of the invariants of the Euler equations that is associated with the topology of vortex lines within the fluid. In superfluids, the vorticity is concentrated along vortex filaments. In this setting, helicity would be…

Fluid Dynamics · Physics 2016-07-01 R. Hänninen , N. Hietala , H. Salman

Geodesic vortex detection is a tool in nonlinear dynamical systems to objectively identify transient vortices with flow-invariant boundaries that defy the typical deformation found in 2-d turbulence. Initially formulated for flows on the…

Chaotic Dynamics · Physics 2025-04-15 Fernando Andrade-Canto , Francisco J. Beron-Vera , Gage Bonner

A new method of detection and measurement of quantum vorticity by scattering second sound off quantized vortices in superfluid Helium is suggested. Theoretical calculations of the relative amplitude of the scattered second sound waves from…

Condensed Matter · Physics 2009-10-28 Fernando Lund , Victor Steinberg

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

Fluid Dynamics · Physics 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid coincides with the equations of motion of a charged {\it compressible} fluid moving due to a self-consistent electromagnetic field. Transition to the Lagrangian…

Fluid Dynamics · Physics 2009-11-07 E. A. Kuznetsov

In this paper, we show that the spatio-temporal evolution of incompressible flows in a long circular pipe can be described by vorticity dynamics. The principal techniques to obtain solutions are similar to those used for flows in the whole…

Fluid Dynamics · Physics 2019-01-10 F. Lam

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 discuss the behavior of partially wetting liquids on a rotating cylinder using a model that takes into account the effects of gravity, viscosity, rotation, surface tension and wettability. Such a system can be considered as a prototype…

Fluid Dynamics · Physics 2018-07-24 Te-Sheng Lin , Steven Rogers , Dmitri Tseluiko , Uwe Thiele

Structured light is attracting significant attention for its diverse applications in both classical and quantum optics. The so-called vector vortex beams display peculiar properties in both contexts due to the non-trivial correlations…

Superfluid turbulence consisting of quantized vortices is called quantum turbulence (QT). Quantum turbulence and quantized vortices were discovered in superfluid $^4$He about 50 years ago, but innovation has occurred recently in this field.…

Quantum Gases · Physics 2015-06-05 Makoto Tsubota

Using the time-dependent Ginzburg Landau equations we study vortex motion driven by an applied current in two dimensional superconductors in the presence of a physical boundary. At smaller sourced currents the vortex lattice moves as a…

Superconductivity · Physics 2022-07-13 T. Okugawa , A. Benyamini , A. J. Millis , D. M. Kennes