No-flux boundaries stabilize scroll rings in excitable media with negative filament tension
| Autor: | Azhand, Arash, Buchholz, Rico, Buchholz, Florian, Totz, Jan, Engel, Harald |
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| Rok vydání: | 2014 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Scroll rings in an unbounded excitable medium with negative line tension undergo an instability ending eventually in a "turbulent" state, known as scroll wave (Winfree) turbulence. In this paper we demonstrate by numerical simulations based upon the Oregonator model for the photosensitive Belousov-Zhabotinskii reaction (PBZR) that the Winfree turbulence is suppressed by the interaction of the scroll ring with a confining Neumann boundary. Instead of the Winfree turbulence a stable scroll ring forms due to the boundary interaction. Furthermore, we will discuss the conditions under which boundary-stabilized scroll rings could be observed in the PBZR, taking into account a light-induced excitability gradient in parallel to the scroll ring's symmetry axis. Comment: 10 pages, 12 figures |
| Databáze: | arXiv |
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