The entire solution for three-dimensional (3D) nonaxisymmetric dendrites is described analytically. Its construction involves the 3D selection theory for the tip of the dendrite plus matching of the tail to this tip. Both intermediate and final asymptotics of the tail shape are given. This...

A theory for the morphology diagram of possible structures in two-dimensional diffusional growth is presented. The main control parameters are undercooling Δ, anisotropy of surface tension ε and the strength of noise. Basic patterns are dendrites and seaweed. The building block of the...

Dendrites are the typical patterns for many anisotropic growth processes. A detailed understanding of their dynamics appears to be crucial for a proper classification of various growth morphologies. In particular the morphology transitions occurring for varying anisotropy were predicted to...