Computation of superconductivity in thin films

San Yih Lin, Yisong Yang

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)257-275
Number of pages19
JournalJournal of Computational Physics
Volume89
Issue number2
DOIs
Publication statusPublished - 1990 Aug

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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