Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
2012
Abstract/Description
We prove that loop vortices are created by a point-like magnetic dipole in an infinite superconductor space. The geometry of the vortex system is obtained through analytic solutions of the linearized Ginzburg-Landau equation described in terms of Heun functions, generalizing the traditional hypergeometric behavior of such magnetic singularity.
Publication Title
Journal of Geometry and Symmetry in Physics
DOI
https://doi.org/10.7546/jgsp-26-2012-85-103
Publisher
Bulgarian Academy of Sciences
Scholarly Commons Citation
Ludu, A. (2012). Vortex Patterns Beyond Hypergeometric. Journal of Geometry and Symmetry in Physics, 26(). https://doi.org/10.7546/jgsp-26-2012-85-103
Additional Information
Also presented at the 13th International Conference on Geometry, Integrability and Quantization, held June 3-8, 2011, in Varna, Bulgaria. Proceedings published by Avangard Prima. Paper appeared on pp. 215-232.