On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors

Journal Article · Tue Jan 31 23:00:00 EST 1995 · SIAM Journal of Applied Mathematics

DOI:https://doi.org/10.1137/S0036139993256837· OSTI ID:32056

Chapman, S J ^[1]; Du, Q ^[2]; Gunzburger, M D ^[3]

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1. Univ. of Oxford (United Kingdom). Mathematical Inst.
2. Michigan State Univ., East Lansing, MI (United States). Dept. of Mathematics
3. Virginia Polytechnic Inst. and State Univ., Blacksburg, VA (United States). Interdisciplinary Center for Applied Mathematics

The authors consider two models, the Lawrence-Doniach and the anisotropic Ginzburg-Landau models for layered superconductors such as the recently discovered high-temperature superconductors. A mathematical description of both models is given and existence results for their solution are derived. The authors then relate the two models in the sense that they show that as the layer spacing tends to zero, the Lawrence-Doniach model reduces to the anisotropic ginzburg-Landau model. Finally, simplified versions of the models are derived that can be used to accurately simulate high-temperature superconductors.

• Sponsoring Organization: USDOE
• DOE Contract Number: FG05-93ER25175
• OSTI ID: 32056
• Journal Information: SIAM Journal of Applied Mathematics, Journal Name: SIAM Journal of Applied Mathematics Journal Issue: 1 Vol. 55; ISSN SMJMAP; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ANISOTROPY
GINZBURG-LANDAU THEORY
HIGH-TC SUPERCONDUCTORS
MATHEMATICAL MODELS
SUPERCONDUCTIVITY