Curvature induced periodic attractor on growth interface |
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Authors: | Pocheau A Bottin-Rousseau S |
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Institution: | IRPHE, CNRS and Universités Aix-Marseille I & II, 49 rue Joliot-Curie, B.P. 146, Technop?le de Chateau-Gombert, F-13384 Marseille, Cedex 13, France. alain.pocheau@irphe.univ-mrs.fr |
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Abstract: | We experimentally address the 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 coherently, at long times. This behavior is recovered by simulation of a nonlinear advection-diffusion model for the phase dynamics. The existence of a periodic attractor is shown by deriving a Liapunov functional for the cellular pattern organization on time ranges that include the singular events of cell nucleation. |
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