Curvature instability of a curved Batchelor vortex

Evolution of a Curved Vortex Filament into a Vortex Ring

Curvature instability in membranes

2014 A simple, thermodynamical model was proposed some time ago [1, 2] to describe the physical properties of various systems for which the curvature elastic energy plays an important role. The basis of this model is provided by the notions of effective rigidity and spontaneous curvature. Here we consider the case of bilayer membranes and generalize the model for situations where small adsorbed...

Vortex Instability and Transient Growth

The dynamics of vortex flow is studied theoretically and numerically. Starting from a local analysis, where the perturbation in the vortex flow is Fourier decomposed in both radial and azimuthal directions, a modified Chebyshev polynomial method is used to discretize the linearized governing operator. The spectrum of the operator is divided into three groups: discrete spectrum, free-stream spec...

Charge-induced vortex lattice instability

It has been predicted that superconducting vortices should be electrically charged and that this effect is particularly enhanced for high-temperature superconductors1,2. Hall effect3 and nuclear magnetic resonance (NMR) experiments4 suggest the existence of charge accumulation in the vortex core, but the effects are small and the interpretation controversial. Here we show that the Abrikosov vor...

Curvature Entropy for Curved Profile Generation

In a curved surface design, the overall shape features that emerge from combinations of shape elements are important. However, controlling the features of the overall shape in curved profiles is difficult using conventional microscopic shape information such as dimension. Herein two types of macroscopic shape information, curvature entropy and quadrature curvature entropy, quantitatively repres...