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Cite Details

Aric Hagberg and Ehud Meron, "The dynamics of curved fronts: beyond geometry", Phys. Rev. Lett., vol. 78, no. 6, pp. 1166--1169, 1997

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.

BibTeX Entry

@article{hagberg-1997-dynamics,
author = {Aric Hagberg and Ehud Meron},
title = {The dynamics of curved fronts: beyond geometry},
year = {1997},
urlpdf = {http://math.lanl.gov/~hagberg/Papers/geometry/geometry.pdf},
journal = {Phys. Rev. Lett.},
volume = {78},
number = {6},
pages = {1166--1169}
}