The Dynamics of Curved Fronts: Beyond Geometry
patt-sol
2009-10-30 v1 Pattern Formation and Solitons
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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Cite
@article{arxiv.patt-sol/9611002,
title = {The Dynamics of Curved Fronts: Beyond Geometry},
author = {Aric Hagberg and Ehud Meron},
journal= {arXiv preprint arXiv:patt-sol/9611002},
year = {2009}
}
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