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Gamma-convergence of the Lawrence -Doniach energy to a three-dimensional anisotropic Ginzburg -Landau energy

By Chunyan Yuan


We consider the Lawrence-Doniach energy functional for layered superconductors and a three-dimensional anisotropic Ginzburg-Landau energy functional. Both models have been used to describe high-temperature superconductors. We prove that as the interlayer spacing in the Lawrence-Doniach model approaches zero, the Lawrence-Doniach energy (with an appropriate Josephson constant) Γ-converges to a three-dimensional anisotropic Ginzburg-Landau energy. This result extends a theorem on convergence of minimizers by Chapman, Du, and Gunzburger.

Topics: Mathematics
Publisher: 'Purdue University (bepress)'
Year: 2008
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Provided by: Purdue E-Pubs
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