J. Phys. I France 3 (1993) 2199-2205
Stability of a plate crystal growing in a channelE.A. Brener1 and D.E. Temkin2
1 Laboratoire de Physique Statistique de L'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
2 Laboratoire de Physique, Ecole Normale Supérieure de Lyon, 46 Allée d'Italie, 69364 Lyon Cedex 07, France
(Received 5 April 1993, revised 5 July 1993, accepted 15 July 1993)
The stability of the diffusion growth of a plate in a channel with respect to the long wave fluctuations along the edge of the plate is considered. The growth is found to be unstable for wavelengths larger than a critical value which is of the order of the channel width. The destabilizing factor has the usual diffusive nature. The main stabilizing factor is connected to the dependence of the growing plate width on the curvature of its edge.
© Les Editions de Physique 1993