We present the exact numerical solutions of the Ginzburg-Landau equations for the case of a static, cylindrically symmetric Abelian Higgs sunspot model. The method of solving of these equations is presented in detail, and the behaviour of the Higgs field amplitude, magnetic field strength, electric current density, as well as of the diagonal components of the stress-energy tensor are illustrated for spots carrying one to five flux quanta.
Contributions of the Astronomical Observatory Skalnate Pleso
- Pub Date:
- July 1992