Abstract
This paper presents a method for computing the physical states in superconducting thin films under the influence of a parallel uniform external magnetic field. The governing equations are the Ginzburg-Landau equations which in general possess multiple solutions and the physical states are those which minimize the total energy. In our approach the energy functional is used to generate a gradient flow and the physical states are obtained in the large time limit. The numerical results completely verify the Meissner effect and the fine structure of the solutions exhibits the occurrence of a symmetric nucleation of superconductivity at intermediate fields.
Original language | English (US) |
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Pages (from-to) | 257-275 |
Number of pages | 19 |
Journal | Journal of Computational Physics |
Volume | 89 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1990 |
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics