We show that the dynamical instability of quantum vortices with more than a single unit circulation results from superradiant bound state inside vortex core. then reveal striking behavior system in nonlinear regime. Counter to expectation should produce well-separated vortices, evolves into corotating singularities orbiting within few healing lengths each other, undergoing modulations separatio...

In a Type II superconductor, the vortex core behaves like normal metal. Consequently, single-particle density of states in conventional superconductor remains either flat or (for very clean single crystals) exhibits peak at zero bias due to formation Caroli-de Gennes-Matricon bound state inside core. Here we report an unusual observation from scanning tunneling spectroscopy measurements weakly ...

This paper is devoted to a statistical analysis of the fluctuations of velocity and acceleration produced by a random distribution of point vortices in two-dimensional turbulence. We show that the velocity probability density function PDF behaves in a manner which is intermediate between Gaussian and Levy laws, while the distribution of accelerations is governed by a Cauchy law. Our study accou...

The unstable flow with rotating-stall-like (RS) effects in a rotor-cascade of an axial compressor was numerically investigated. The RS was captured with the reduction in mass flow rate and increasing of exit static pressure with respect to design operating condition of the single rotor. The oscillatory velocity traces during the stall propagation showed that the RS vortices repeat periodically,...

Coherent optical beams may contain optical vortices that are characterized by a dark core and a well-defined azimuthally harmonic phase.1,2 In contrast, different points in a spatially incoherent beam are uncorrelated, and the phase structure of an optical vortex is ill defined. In the transitional regime of partially coherent light, one should take the statistical properties of light into acco...

This thesis reports numerical calculations on quantized vortices in He and He superfluids. Vortices are of crucial importance in understanding many of the superfluid properties. All the calculations presented in the thesis have experimental relevance, either in understanding measured results or in predicting the outcome of planned experiments. Superfluid He has been observed to exhibit incomple...

We study the dispersion relation of Kelvin waves propagating along single- and half-quantum vortices in miscible two-component Bose-Einstein condensates based on analysis Bogoliubov--de Gennes equation. With help interpolating formula connecting relations low- high-wave-number regimes, we reveal nontrivial dependence intercomponent interaction through change vortex-core size vortical component....

The interaction of vortex patches in relation to the observed scales and features reported in Part I of this paper is investigated. It is found that the initial approach of compound vortices, such as tropical cyclones, arises from distortion of their, weaker, outer vorticity fields. Care needs to be taken in applying simple concepts, such as the propagation of each vortex on the gradient of its...

This paper illustrates some pitfalls in the interpretation of flow visualisation images of delta wing leading-edge vortices. Numerical simulations of tracer particle trajectories in around straight and helical vortices are presented, representing unburst and burst delta wing vortices respectively. For straight vortices, the appearance of the ‘smoke-ring’ effect in wind tunnel testing is analyse...

Planetary flows--atmospheric and oceanic--are approximately two-dimensional and dominated by coherent concentrations of vorticity. Data assimilation attempts to determine optimally the current state of a fluid system from a limited number of current and past observations. In this two-part paper, an advanced method of data assimilation, the extended Kalman filter, is applied to the Lagrangian re...