Analytic Solution of Non-Axisymmetric Isothermal Dendrites

Non-Axisymmetric Needle Crystals


Idea: Compute correction to

Ivantsov relation S = P e^P E₁(P) due
to 4-fold deviation from a parabola
of revolution.

Key ingredients:


•	Glicksman et al. have measured the deviation S - P e^P E₁(P)


•	LaCombe et al. have also measured the shape deviation [1995].

•	Horvay & Cahn [1961] found an exact needle crystal solution with

2-fold symmetry, exhibiting an amplitude-dependent deviation in

S - P e^P E₁(P) [but wrong sign to account for 4-fold data …]