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CHAOS 18 026102 2008 Three dimensional spiral waves in an excitable reaction system Initiation and dynamics of scroll rings and scroll ring pairs Tam s B ns gi Jr and Oliver Steinbocka Department of Chemistry and Biochemistry Florida State University Tallahassee Florida 32306 4390 USA Received 2 January 2008 accepted 19 February 2008 published online 27 June 2008 We report experimental results on spiral and scroll waves in the 1 4 cyclohexanedione Belousov Zhabotinsky reaction The propagating concentration waves are detected by two dimensional photometry and optical tomography Wave pulses can disappear in front to front and front to back collisions This anomaly causes the nucleation of vortices from collisions of three nonrotating waves In three dimensional systems these vortices are scroll rings that rotate around initially circular filaments Depending on reactant concentrations the filaments shrink or expand indicating positive and negative filament tensions respectively Shrinkage results in vortex annihilation Expansion is accompanied by filament buckling and bending which is interpreted as developing Winfree turbulence We also describe the initiation of scroll ring pairs in four wave collisions The two filaments are stacked on top of each other and their motion suggests filament repulsion 2008 American Institute of Physics DOI 10 1063 1 2896100 Spiral waves of excitation exist in a variety of experimental systems including chemical reaction diffusion media living cells and cellular tissues In two space dimensions their shape is close to that of an Archimedean spiral Their tip orbits along a simple often circular trajectory The spiral analog in three dimensions is the scroll wave which rotates around dynamic one dimensional space curves A specific case is the scroll ring for which the filament is a closed loop The latter curve shrinks or expands according to the system s filament tension We report an experimental study of scroll rings in a chemical reaction



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