Abstract
We study the impact of spatial confinement on the dynamics of three-dimensional (3D) excitation vortices with circular filaments. In a chemically active medium we observe a decreased contraction rate of such scroll rings and even expanding ones, despite their positive filament tension. All experimentally observed regimes of spatially confined scroll ring evolution are reproduced by full 3D numerical integration of the underlying reaction–diffusion equations. Additionally, we propose a kinematical model that takes into account the interaction of the scroll ring with a no-flux boundary. Its predictions agree quantitatively with data obtained from simulations of the reaction–diffusion model.
Highlights
Confinement effects attract interest across many areas of physics as they generate a wealth of non-intuitive phenomena
We study the impact of spatial confinement on the dynamics of threedimensional (3d) excitation vortices with circular filaments
Our experimental results suggest that the interaction of the scroll ring with a confining no-flux boundary is responsible for the observed modifications in the scroll ring dynamics as compared to the spatially unbounded case
Summary
Confinement effects attract interest across many areas of physics as they generate a wealth of non-intuitive phenomena. Scroll waves undergo negative line tension instability that eventually result in a spatio-temporally irregular regime called vortex or Winfree turbulence [20,24]. This case will not be considered here. The behavior of vortices with positive filament tension near planar no-flux boundaries has never been studied experimentally. To this end we study the evolution of scroll rings in thin layers of the ferroin-catalyzed Belousov-Zhabotinsky (BZ) reaction (figure 1), [9, 31,32,33]. For the ring dynamics in a phase plane spanned by the filament radius and the distance between filament plane and boundary are in quantitative agreement with data obtained from 3d numerical simulations of the reaction-diffusion model (chapter 4)
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