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APS » Journals » Phys. Rev. Lett. » Volume 78 » Issue 6
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Phys. Rev. Lett. 78, 1166–1169 (1997)

The Dynamics of Curved Fronts: Beyond Geometry

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Aric Hagberg
Center for Nonlinear Studies and T-7, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Ehud Meron
The Jacob Blaustein Institute for Desert Research and the Physics Department, Ben-Gurion University, Sede Boker Campus 84990, Israel

Received 13 September 1996; published in the issue dated 10 February 1997

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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.1166
DOI:
10.1103/PhysRevLett.78.1166
PACS:
82.40.Ck, 47.20.Ma, 82.20.Mj
 
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