Long-time dynamics of the directional solidification of rodlike eutectics.

Phys Rev E Stat Nonlin Soft Matter Phys

Institut des Nanosciences de Paris, CNRS UMR 7588, Université Pierre-et-Marie-Curie, Campus Boucicaut, 140 rue de Lourmel, 75015 Paris, France.

Published: March 2009

We report long-duration real-time observations of the dynamics of hexagonal (rodlike) directional-solidification patterns in bulk samples of a transparent eutectic alloy. A slight forward curvature of the isotherms induces a slow dilatation of the growth pattern at constant solidification rate and triggers the rod-splitting instability. At long times, the rod-splitting frequency exactly balances the dilatation driven by the curved isotherms. The growth pattern is then disordered and nonstationary but has a sharply selected mean spacing. Well-ordered growth patterns can be grown using time-dependent solidification rates.

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http://dx.doi.org/10.1103/PhysRevE.79.032602DOI Listing

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