dorsal/arxiv
View SchemaThe Dynamics of Curved Fronts: Beyond Geometry
| Authors | Aric Hagberg, Ehud Meron |
|---|---|
| Categories | |
| ArXiv ID | patt-sol/9611002 |
| URL | https://arxiv.org/abs/patt-sol/9611002 |
| DOI | 10.1103/PhysRevLett.78.1166 |
| Journal | Physical Review Letters 78, 1166 (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.
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"abstract": "We derive a new set of kinematic equations for front motion in\ntwo-dimensional bistable media. The equations generalize the geometric approach\nby complementing the equation for the front curvature with an order parameter\nequation associated with a nonequilibrium Ising-Bloch bifurcation. The\nresulting equations capture the core structure of spiral waves and spontaneous\nspiral-wave nucleation.",
"arxiv_id": "patt-sol/9611002",
"authors": [
"Aric Hagberg",
"Ehud Meron"
],
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"doi": "10.1103/PhysRevLett.78.1166",
"journal_ref": "Physical Review Letters 78, 1166 (1997)",
"title": "The Dynamics of Curved Fronts: Beyond Geometry",
"url": "https://arxiv.org/abs/patt-sol/9611002"
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