Abstract
In the theory of p-wave superconductivity, the Ginzburg-Landau energy functionals with multicomponent order parameters were employed. Here we find a minimizer of a reduced form of the p-wave Ginzburg-Landau free energy with two-component order parameters. The minimizer has distinct degree-one (or minus one) vortices in each component. We also derive a system of ordinary differential equations as the motion equations of vortices in the approximated gradient flow for p-wave superconductivity.
Original language | English (US) |
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Pages (from-to) | 1105-1127 |
Number of pages | 23 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 34 |
Issue number | 5 |
DOIs | |
State | Published - 2003 |
Keywords
- Dynamics
- Ginzburg-Landau
- P-wave superconductivity
- Vortices
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics