Abstract
We solve analytically the linearized Ginzburg–Landau equation in the presence of an uniform magnetic field with cylindrical boundary conditions. The solution of the non-linear GL equation is provided as an expansion in the basis of linearized solutions. We present examples of the resulting vortex structure for a solid and perforated superconducting cylinder.
| Original language | American English |
|---|---|
| Journal | Mathematics and Computers in Simulation |
| Volume | 82 |
| State | Published - 2012 |
| Externally published | Yes |
Keywords
- Mesoscopic superconductivity
- axial magnetic field
- Ginzburg-Landau
- vortex states
- nonlinear wavefunctions
Disciplines
- Condensed Matter Physics
- Non-linear Dynamics
- Other Applied Mathematics
- Other Physics