Non-equilibrium ribbon model of scroll waves with twist

2006/02/06 by Blas Echebarria, B. Echebarria, V. Hakim +5
Engineering · Physics and Astronomy · #Fluid Dynamics and Thin Films #cond-mat.soft #nlin.PS

paper · pdf · doi:10.48550/arxiv.nlin/0602009

5 pages, 4 figures + 1 figure as auxiliary material, to appear in Phys. Rev. Lett

arxiv created 2006/02/06 · arxiv updated 2009/12/01

Abstract

We formulate a reduced model to analyze the motion of the core of a twisted scroll wave. The model is first shown to provide a simple description of the onset and nonlinear evolution of the helical state appearing in the sproing bifurcation of scroll waves. It then serves to examine the experimentally studied case of a medium with spatially-varying excitability. The model shows the role of sproing in this more complex setting and highlights the differences between the convective and absolute sproing instabilities.

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