Ginzburg-Landau theory of vortices in a multigap superconductor

Dynamics of Ginzburg-Landau vortices

Topological Landau-Ginzburg theory for vortices in superfluid 4He.

We propose a new Landau-Ginzburg theory for arbitrarily shaped vortex strings in superfluid He. The theory contains a topological term and directly describes vortex dynamics. We introduce gauge fields in order to remove singularities from the Landau-Ginzburg order parameter of the superfluid, so that two kinds of gauge symmetries appear, making the continuity equation and conservation of the to...

Some Dynamical Properties of Ginzburg-Landau Vortices

Here 0 is a two-dimensional, smooth, bounded domain, E is a positive parameter, u : R x R, R2, g : 8 R R2 is smooth, and Igl(x) = l , x E 80. Naturally we also assume the compatibility condition that u&) = g(x) on dfl. The system (l.lH1.3) can be viewed as a simplified evolutionary GinzburgLandau equation in the theory of superconductivity (141, [51, 1111, [18]). The same system also appears in...

Ginzburg-landau Vortices and Mandelstam Diagrams

Some years ago, in D’Hoker and Phong (1989) studied the functional determinants of Laplacian on Mandelstam diagrams. They considered some renormalizations of the functional determinants of Laplacian on Mandelstam diagrams and explored their applications in String Theory. Recently, on quite a different subject, in Qing (1997) studied the renormalized energy for Ginzburg-Landau vortices on closed...

Ginzburg-landau Vortices Driven by the Landau-lifshitz-gilbert Equation

A simplified model for the energy of the magnetization of a thin ferromagnetic film gives rise to a version of the theory of GinzburgLandau vortices for sphere-valued maps. In particular we have the development of vortices as a certain parameter tends to 0. The dynamics of the magnetization is ruled by the Landau-Lifshitz-Gilbert equation, which combines characteristic properties of a nonlinear...