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- W2072099831 abstract "Tilt domains are dynamical defects of cellular growth fronts consisting of a group of asymmetric cells traveling laterally along the front. We study the dynamics of these defects in thin-film directional solidification of the ${mathrm{CBr}}_{4}$-${mathrm{C}}_{2}$${mathrm{Cl}}_{6}$ eutectic alloy. We show that the sweeping of the growth front by tilt domains, at a given growth velocity V, brings it into a well-defined ``dynamically selected'' state. Once this state is reached, the tilt domains travel with a constant width. A sudden increase (decrease) of the growth velocity transforms constant-width tilt domains to growing (shrinking) ones. This behavior is in complete agreement with the theoretical predictions made by Coullet et al. [Phys. Rev. Lett. 63, 1954 (1989)] and Caroli et al. [J. Phys. I (Paris) 2, 281 (1992)]. We study the V dependence of the dynamically selected wavelength. It does not follow the ${mathit{V}}^{mathrm{ensuremath{-}}1/2}$ law, contrary to the ``selected'' wavelength of lamellar eutectics in the range of velocities and thermal gradients that we use. Above a velocity ${mathit{V}}_{mathrm{cr}}$, the dynamically selected basic state is unstable against the lamellar-extinction instability. We describe some dynamical patterns resulting from the interplay between the latter instabiilty and the tilt instability." @default.
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- W2072099831 date "1992-07-01" @default.
- W2072099831 modified "2023-10-09" @default.
- W2072099831 title "Dynamical wavelength selection by tilt domains in thin-film lamellar eutectic growth" @default.
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- W2072099831 doi "https://doi.org/10.1103/physreva.46.963" @default.
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