Two-dimensional dendritic growth at arbitrary Peclet number

E.A. Brener , V.I. Mel'Nikov

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. f(pα1/2), where p is the Peclet number, α <

Mots clés: crystal growth; dendrites; integro differential equations

Domaines: Articles anciens

E.A. Brener, V.I. Mel'Nikov. Two-dimensional dendritic growth at arbitrary Peclet number. Journal de Physique, 1990, 51 (2), pp.157-166. ⟨10.1051/jphys:01990005102015700⟩. ⟨jpa-00212357⟩