Existence theorems for 90° vortex–vortex scattering

DOI10.1063/1.530806zbMath0818.35111OpenAlexW2057963168MaRDI QIDQ4327199

Jürgen Burzlaff, Fawzi Abdelwahid

Publication date: 5 April 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530806

zbMATH Keywords

Cauchy problemGinzburg-Landau equationsCooper pairsbehavior of solitons in a scattering processrelativistic gauge field theoryscattering of vortices

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (4)

Existence theorems for \(\pi/n\) vortex scattering ⋮ Scattering of vortices in the Abelian Higgs model ⋮ Statics and dynamics of Abrikosov vortices and of related solitons ⋮ A study of monopole scattering through power series expansions

Cites Work

• Motion of vortex lines in the Ginzburg-Landau model
• Vortices in complex scalar fields
• A remark on the scattering of BPS monopoles.
• Dynamical interactions of superconducting flux vortices
• Vortex scattering
• Dynamics of Abelian Higgs vortices in the near Bogomolny regime
• Geometry and kinematics of two Skyrmions
• Non-linear semi-groups
• Soliton-like scattering in the O(3) sigma -model in (2+1) dimensions
• The global existence of time-dependent vortex solutions
• Low-energy scattering of non-Abelian magnetic monopoles
• The behavior at infinity of isotropic vortices and monopoles
• Soliton scattering in the Skyrme model in (2+1) dimensions. II. More general systems
• A study of a 90° vortex–vortex scattering process
• Low-velocity scattering of vortices in a modified Abelian Higgs model
• Soliton stability in the O(3) sigma -model in (2+1) dimensions

This page was built for publication: Existence theorems for 90° vortex–vortex scattering