The stability of magnetic vortices
From MaRDI portal
Publication:1581670
DOI10.1007/PL00005526zbMath0955.58015arXivmath/9904158OpenAlexW1993984289MaRDI QIDQ1581670
Stephen J. Gustafson, Israel Michael Sigal
Publication date: 8 October 2000
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9904158
Statistical mechanics of superconductors (82D55) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items (23)
A generic framework of adiabatic approximation for nonlinear evolutions ⋮ Dynamic stability and instability of pinned fundamental vortices ⋮ Large deviations for quantum spin probabilities at temperature zero ⋮ Stability of half-degree point defect profiles for 2-D nematic liquid crystal ⋮ Multi-vortex non-radial solutions to the magnetic Ginzburg-Landau equations ⋮ Local uniqueness of the magnetic Ginzburg-Landau equation ⋮ On stability of Abrikosov vortex lattices ⋮ Phase transition threshold and stability of magnetic skyrmions ⋮ Entire solutions to 4 dimensional Ginzburg-Landau equations and codimension 2 minimal submanifolds ⋮ Solutions of the Ginzburg–Landau equations concentrating on codimension‐2 minimal submanifolds ⋮ Abrikosov vortex lattices at weak magnetic fields ⋮ Topological defects in the abelian Higgs model ⋮ Stable solutions to the abelian Yang-Mills-Higgs equations on \(S^2\) and \(T^2\) ⋮ Statics and dynamics of magnetic vortices and of Nielsen–Olesen (Nambu) strings ⋮ Pinning of magnetic vortices by an external potential ⋮ Multi-vortex solutions to Ginzburg-Landau equations with external potential ⋮ Symmetric Chern-Simons-Higgs vortices ⋮ Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics ⋮ Γ-Stability and Vortex Motion in Type II Superconductors ⋮ Fourfold symmetric solutions to the Ginzburg Landau equation for d-wave superconductors ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2 ⋮ Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system ⋮ Effective dynamics of magnetic vortices
This page was built for publication: The stability of magnetic vortices
