Universal Dynamics of Phase-Field Models for Dendritic Growth

Details Universal Dynamics of Phase-Field Models for Dendritic Growth Universal Dynamics of Phase-Field Models for Dendritic Growth

1998-10-16

arxiv.org/abs/cond-mat/9810189v1

Physics

Condensed Matter

Materials Science

4 pages, 3 postscript figures, in latex, (revtex)

Scientific paper

10.1103/PhysRevE.59.R2546

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.

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