Universal Dynamics of Phase-Field Models for Dendritic Growth
Yung-Tae Kim, Nikolas Provatas, Nigel Goldenfeld, Jonathan Dantzig
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.
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