The Dynamics of Curved Fronts: Beyond Geometry

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.1166· OSTI ID:450475

Hagberg, A ^[1]; Meron, E ^[2]

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1. Center for Nonlinear Studies and T-7, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
2. The Jacob Blaustein Institute for Desert Research and the Physics Department, Ben-Gurion University, Sede Boker Campus 84990 (Israel)

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. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 450475
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 6 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

40 CHEMISTRY
66 PHYSICS
BIFURCATION
BLOCH THEORY
DIFFUSION
DYNAMICS
EQUATIONS OF MOTION
GEOMETRY
GINZBURG-LANDAU THEORY
INTEGRO-DIFFERENTIAL EQUATIONS
LANDAU CURVES
NUCLEATION
ORDER PARAMETERS
SPIRAL CONFIGURATION
TRAVELLING WAVES
WAVE PROPAGATION