Physics – Condensed Matter – Superconductivity
Scientific paper
1999-03-16
Physics
Condensed Matter
Superconductivity
18 pages
Scientific paper
We study a boundary value problem associated with a system of two second order differential equations with cubic nonlinearity which model a film of superconductor material subjected to a tangential magnetic field. We show that for an appropriate range of parameters there are {\it asymmetric} solutions, and only trivial {\it symmetric} solutions. We then show that the associated energy function is negative for the asymmetric solutions, and zero for the trivial symmetric solution. It follows that a global minimizer of the energy is asymmetric.
Hastings S. P.
Troy William C.
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