The Dynamics of Curved Fronts: Beyond Geometry
arXiv:patt-sol/9611002 · doi:10.1103/PhysRevLett.78.1166
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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