title: Self-organized dynamics on a curved growth interface.
abstract: We experimentally address long-time dynamics of an artificially curved growth interface in directional solidification. Repetitive cell nucleations are found to appear in a disordered way, but to eventually organize themselves in a coherent way, for long times. This behavior is recovered by simulation of a nonlinear advection-diffusion model for phase dynamics. The existence of a periodic attractor is supported by the derivation of a Lyapunov functional for this model.
authors.affiliation: IRPHE, CNRS UMR 6594, Universités Aix-Marseille I & II, 49 rue Joliot-Curie, B.P. 146, Technopole de Château-Gombert, F-13384 Marseille Cedex 13, France.
authors.forename: S
authors.initials: S
authors.lastname: Bottin-Rousseau
authors.forename: A
authors.initials: A
authors.lastname: Pocheau