The dynamics of curved fronts: Beyond geometry

Aric Hagberg; Ehud Meron

doi:10.1103/PhysRevLett.78.1166

The dynamics of curved fronts: Beyond geometry

Aric Hagberg, Ehud Meron

The Swiss Institute for Dryland Environmental and Energy Research

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

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.

Original language	English
Pages (from-to)	1166-1169
Number of pages	4
Journal	Physical Review Letters
Volume	78
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevLett.78.1166
State	Published - 10 Feb 1997

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.78.1166

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title = "The dynamics of curved fronts: Beyond geometry",

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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AB - 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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JO - Physical Review Letters

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The dynamics of curved fronts: Beyond geometry

Abstract

ASJC Scopus subject areas

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