The dynamics of curved fronts: Beyond geometry

Aric Hagberg, Ehud Meron

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


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 languageEnglish
Pages (from-to)1166-1169
Number of pages4
JournalPhysical Review Letters
Issue number6
StatePublished - 10 Feb 1997

ASJC Scopus subject areas

  • General Physics and Astronomy


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