Evidence for Burgers' equation describing the untwisting of scroll ringsB. Marts, T. Bánsági jr. and O. Steinbock
Florida State University, Department of Chemistry and Biochemistry - Tallahassee, FL, 32306-4390, USA
received 3 March 2008; accepted in final form 23 June 2008; published August 2008
published online 28 July 2008
We study the dynamics of rotating scroll waves in three-dimensional excitable systems. Experiments are carried out with the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction and wave patterns are measured using optical tomography. We create twisted scroll rings for which the rotation phase varies along their circular rotation backbone and measure the untwisting dynamics of the collapsing structures. Experimental data reveal the formation of an asymmetric, plateau-like phase profile with a growing region of leading phase and a shrinking region of lagging phase. The experimental data support a quantitative description in terms of a nonlinear diffusion equation.
05.45.-a - Nonlinear dynamics and chaos.
82.40.Ck - Pattern formation in reactions with diffusion, flow and heat transfer.
82.40.Qt - Complex chemical systems.
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