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A Geometrical Model for Spirals: a Possible Paradigm for Belousov-Zhabotinskii

We formulate and investigate a local, geometrical model for steady-state spiral motion in order to better understand the spiral pattern observed in Belousov-Zhabotinskii (BZ) reactions. In particular, we demonstrate that the surface tension (i.e. curvature dependent) term is responsible for velocity selection in the toy model. In this model, the selected velocity for small surface tension is the unique velocity for which the zero surface tension term is nonsingular. We conclude with speculations on the implications of our results for BZ spirals.