Stabilization of a scroll ring by a cylindrical Neumann boundary.
We study the interaction of phase singularities with homogeneous Neumann boundaries in one, two, and three spatial dimensions for the complex Ginzburg-Landau equation. The existence of a boundary-induced drift attractor, well known for spiral waves in two spatial dimensions, is demonstrated for scroll waves in three spatial dimensions. We find that a cylindrical Neumann boundary can lock a scroll ring, thus preventing the collapse of its closed filament.
Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, Sekr EW 7-1, 10623 Berlin, Germany.
P V
PV
Paulau
Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, Sekr EW 7-1, 10623 Berlin, Germany.
J
J
Löber
Institut für Theoretische Physik, TU Berlin, Hardenbergstr. 36, Sekr EW 7-1, 10623 Berlin, Germany.
H
H
Engel