Numéro
J. Phys. I France
Volume 3, Numéro 3, March 1993
Page(s) 741 - 751
DOI https://doi.org/10.1051/jp1:1993159
DOI: 10.1051/jp1:1993159
J. Phys. I France 3 (1993) 741-751

On the stability of low anisotropy dendrites

W. van Saarloos1, B. Caroli2 and C. Caroli2

1  Institut Lorentz, University of Leiden, P.O. Box 9506, 2300 RA Leiden, The Netherlands
2  Groupe de Physiques des Solides, associé au CNRS, Universités Paris VII et Paris VI, 2 Place Jussieu, 75251 Paris Cedex 05, France


(Received 17 September 1992, revised 2 November 1992, accepted in final form 2 November 1992)

Abstract
We point out that the growth of dendritic sidebranches, when viewed as the propagation of a front into the Mullins-Sekerka unstable needle crystal profile, leads one to expect sidebranches to encroach on the tip, at least transiently, in the limit of small kinetic or surface tension anisotropy. We show that this view point can be reconciled with the Zel'dovich-like description of perturbations and suggest how the importance of these effects for real dentrites could be probed experimentally.

Résumé
Nous montrons que, si on considère la croissance des branches d'une dendrite comme l'invasion du cristal aciculaire (localement instable vis-à-vis du mécanisme de Mullins-Sekerka) par un front de déformation, on prévoit, dans la limite des faibles anisotropies capillaires, que les branches peuvent, au moins transitoirement, remonter vers la tête de la dendrite. Nous montrons que ce point de vue est compatible avec les descriptions à la Zel'dovich de l'évolution des perturbations. Nous proposons une méthode pour tester expérimentalement l'importance de ces effets.

PACS
81.30F - 64.70D

© Les Editions de Physique 1993

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