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Abstract : Velocity selection in two-dimensional dendritic growth caused by anisotropy of the surface energy is considered. In the limit of low anisotropy the integro-differential equation for the velocity spectrum is reduced to a differential equation. The solution of this equation, corresponding to the maximal velocity, is stable, whereas the other solutions have unstable modes. A differential equation for the spectrum of growth rates is also derived. The growth velocity v ~ α3-4. fpα1-2, where p is the Peclet number, α <

Keywords : crystal growth dendrites integro differential equations





Author: E.A. Brener V.I. Mel-Nikov

Source: https://hal.archives-ouvertes.fr/



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