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Updated: Oct 8, 2025

Automatic Identification of Dendritic Branches and their Orientation
Published on: September 17, 2021
Induced side-branching in smooth and faceted dendrites: theory and phase-field simulations
Gilles Demange1, Renaud Patte1, Helena Zapolsky1
1GPM, CNRS-UMR 6634, University of Rouen Normandy, Saint Étienne Du Rouvray 76801, France.
Abstract:
The present work is devoted to the phenomenon of induced side branching stemming from the disruption of free dendrite growth. We postulate that the secondary branching instability can be triggered by the departure of the morphology of the dendrite from its steady state shape. Thence, the instability results from the thermodynamic trade-off between non monotonic variations of interface temperature, surface energy, kinetic anisotropy and interface velocity within the Gibbs-Thomson equation. For the purposes of illustration, the toy model of capillary anisotropy modulation is prospected both analytically and numerically by means of phase-field simulations. It is evidenced that side branching can befall both smooth and faceted dendrites, at a normal angle from the front tip which is specific to the nature of the capillary anisotropy shift applied. This article is part of the theme issue 'Transport phenomena in complex systems (part 2)'.
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