Dipole Vortex Patterns. Beyond Hypergeometric

Andrei Ludu

Dipole Vortex Patterns. Beyond Hypergeometric

Embry-Riddle Aeronautical University

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	American English
Journal	Journal of Geometry and Symmetry in Physics
Volume	25
State	Published - 2012
Externally published	Yes

Keywords

Heun functions
heun differential equation
hypergeometric
vortex states
Gizburg-Landau
coalescence of singularities

Disciplines

Mathematics
Non-linear Dynamics
Ordinary Differential Equations and Applied Dynamics
Physics

Cite this

@article{6bc650093d7b4c89930dda4f48b66b92,

title = "Dipole Vortex Patterns. Beyond Hypergeometric",

abstract = "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.",

keywords = "Heun functions, heun differential equation, hypergeometric, vortex states, Gizburg-Landau, coalescence of singularities",

author = "Andrei Ludu",

year = "2012",

language = "American English",

volume = "25",

journal = "Journal of Geometry and Symmetry in Physics",

issn = "1314-5673",

}

TY - JOUR

T1 - Dipole Vortex Patterns. Beyond Hypergeometric

AU - Ludu, Andrei

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

KW - Heun functions

KW - heun differential equation

KW - hypergeometric

KW - vortex states

KW - Gizburg-Landau

KW - coalescence of singularities

M3 - Article

SN - 1314-5673

VL - 25

JO - Journal of Geometry and Symmetry in Physics

JF - Journal of Geometry and Symmetry in Physics

ER -