Side branching in the three-dimensional dendritic growth
Brener E. A., Temkin D. E.
The time-dependent behavior of side branching deformations is considered with allowance for the actual nonaxisymmetric shape of the needle crystal. It is found that the amplitude of the deformation increases faster than that for the axisymmetric paraboloid shape of the needle. It is argued that this effect can resolve the puzzle that the experimentally observed side branches have much larger amplitudes than can be explained by the thermal noise in the framework of the axisymmetric approach. The coarsening behavior of side branches in the nonlinear regime is discussed.