Shrinking Magnetic Vortices inV3Sidue to Delocalized Quasiparticle Core States: Confirmation of the Microscopic Theory for Interacting Vortices

Quasiparticle Spectrum of Vortices in Cuprates

The quasiparticle excitation spectrum of an isolated vortex in a clean layered d-wave superconductor is calculated, using both the Bogoliubov–de Gennes and the quasiclassical Eilenberger equations. Analytical solutions are obtained within the model of step-variation of the gap function, adjusting the Caroli, de Gennes and Matricon approach for low-lying excitations in cuprates. A large peak in ...

The Stability of Magnetic Vortices

W e study the linearized stability of -vortex ( ) solutions of the magnetic Ginzb urg–Landau (or Abelian Higgs) equations. We prove that the fundamental vortices ( 1) are stable for all values of the coupling constant, , and we prove that the higher -degree vortices ( 2) are stable for 1, and unstable for 1. This resolves a long-standing conjecture (see, eg, [JT]).

Spectral Theory of Taylor Vortices

Interacting SQG Vortices and Passive Scalar Transport

The surface quasi-geostrophic (SQG) equations are a model for low-Rossby number geophysical flows in which the dynamics are governed by potential temperature dynamics on the boundary. The model can be used to explore the effect on transport of the transition from two-dimensional to three-dimensional mesoscale geophysical flows. On an f -plane with linear stratification, we examine the dynamics ...

A thermodynamically general theory for convective vortices

Convective vortices are common features of atmospheres that absorb lower-entropy-energy at higher temperatures than they reject higher-entropy-energy to space. These vortices range from small to large-scale and play an important role in the vertical transport of heat, momentum, and tracer species. Thus, the development of theoretical models for convective vortices is important to our understand...