Dirichlet boundary condition for the Ginzburg-Landau equations

2nd International Meeting for Researchers in Materials and Plasma Technology

物理学;材料科学

Barba-Ortega, J.^1 ; Barón-Jaimez, J.^2 ; Joya, M.R.^1

Departamento de Física, Universidad Nacional de Colombia, Bogotá, Colombia^1

Instituto de Investigaciones en Materiales, Universidad Autónoma de México, DF, México, Mexico^2

关键词: Circular geometry;    Coupled nonlinear differential equations;    Critical fields;    Dirichlet boundary condition;    Ginzburg-Landau;    Ginzburg-Landau equations;    Neumann boundary condition;    Phenomenological theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/466/1/012027/pdf
DOI  :  10.1088/1742-6596/466/1/012027

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

As is well known, the Ginzburg Landau phenomenological theory described with a good accuracy the thermodynamic properties of a superconducting material. The system of two coupled nonlinear differential equations is completed with the usual Neumann boundary condition as long as is considered a superconductor insulator interface. In this paper, we solve the Ginzburg Landau equations for a circular geometry containing a half-circular pillar defect and considering the unusual superconducting Dirichlet boundary condition. This choice, leading to take the extrapolation de Gennes length equal to zero. Our results point that, the thermodynamic critical fields, magnetization, free energy and vorticity, depend on the chosen boundary condition.