The Dynamics of Curved Fronts: Beyond Geometry

Details The Dynamics of Curved Fronts: Beyond Geometry The Dynamics of Curved Fronts: Beyond Geometry

1996-11-14

arxiv.org/abs/patt-sol/9611002v1

Physical Review Letters 78, 1166 (1997)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages RevTeX

Scientific paper

10.1103/PhysRevLett.78.1166

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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