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) |
|---|---|
| Pages (from-to) | 257-275 |
| Number of pages | 19 |
| Journal | Journal of Computational Physics |
| Volume | 89 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1990 |
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ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy(all)
Cite this
Computation of superconductivity in thin films. / Lin, San Yih; Yang, Yisong.
In: Journal of Computational Physics, Vol. 89, No. 2, 1990, p. 257-275.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Computation of superconductivity in thin films
AU - Lin, San Yih
AU - Yang, Yisong
PY - 1990
Y1 - 1990
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0040170512&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0040170512&partnerID=8YFLogxK
U2 - 10.1016/0021-9991(90)90144-P
DO - 10.1016/0021-9991(90)90144-P
M3 - Article
VL - 89
SP - 257
EP - 275
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 2
ER -