Universal Dynamics of Phase-Field Models for Dendritic Growth
arXiv:cond-mat/9810189 · doi:10.1103/PhysRevE.59.R2546
Abstract
We compare time-dependent solutions of different phase-field models for dendritic solidification in two dimensions, including a thermodynamically consistent model and several ad hoc models. The results are identical when the phase-field equations are operating in their appropriate sharp interface limit. The long time steady state results are all in agreement with solvability theory. No computational advantage accrues from using a thermodynamically consistent phase-field model.
4 pages, 3 postscript figures, in latex, (revtex)