1308.1064 (Stan Alama et al.)

Stability of symmetric vortices for two-component Ginzburg-Landau
systems    [PDF]

Stan Alama, Qi Gao

We study Ginzburg-Landau equations for a complex vector order parameter. We consider the Dirichlet problem in the disk in the plane with a symmetric, degree-one boundary condition, and study its stability, in the sense of the spectrum of the second variation of the energy. We find that the stability of the degree-one equivariant solution depends on both the Ginzburg-Landau parameter as well as the sign of the interaction term in the energy.

View original: http://arxiv.org/abs/1308.1064