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arXiv · patt-sol/9611002

The Dynamics of Curved Fronts: Beyond Geometry

Aric Hagberg·Ehud Meron
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Abstract

We derive a new set of kinematic equations for front motion in two-dimensional bistable media. The equations generalize the geometric approach by complementing the equation for the front curvature with an order parameter equation associated with a nonequilibrium Ising-Bloch bifurcation. The resulting equations capture the core structure of spiral waves and spontaneous spiral-wave nucleation.

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Aric Hagberg, Ehud Meron. 1996-11-14. The Dynamics of Curved Fronts: Beyond Geometry. https://doi.org/10.1103/physrevlett.78.1166

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