The time evolution of several interacting Ginzburg-Landau vortices according to an equation of Schrodinger type is approximated by motion on a finite-dimensional manifold. That manifold is defined as an unstable manifold of an auxiliary dynamical system, namely the gradient flow of the Ginzburg-Landau energy functional. For two vortices the relevant unstable manifold is constructed numerically and the induced dynamics is computed. The resulting model provides a complete picture of the vortex motion for arbitrary vortex separation, including well-separated and nearly coincident vortices.
|Article number||PII S0951-7715(02)33343-7|
|Number of pages||18|
|Publication status||Published - 15 Jul 2002|
- COMPLEX SCALAR FIELDS
- VORTEX DYNAMICS
- LOCAL SPACES