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VOLUME 59 | ISSUE 10 | PAGE 697
Sidebranching in the three dimensional dendritic growth
We consider the time-dependent behavior of sidebranching deformations taking into account the actual nonaxisymmetric shape of the needle crystal. It is found that the amplitude of the deformation grows faster than for the axisymmetric paraboloid shape of the needle. We argue that this effect can resolve the puzzle that experimentally observed sidebranches have much larger amplitudes than can be explained by thermal noise in the framework of the axisymmetric approach. The coarsening behavior of sidebranches in the nonlinear regime is shortly discussed.