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Universal Dynamics of Phase-Field Models for Dendritic Growth

Yung-Tae Kim·Nikolas Provatas·Nigel Goldenfeld·Jonathan Dantzig
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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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Yung-Tae Kim, Nikolas Provatas, Nigel Goldenfeld, Jonathan Dantzig. 1998-10-16. Universal Dynamics of Phase-Field Models for Dendritic Growth. https://doi.org/10.1103/physreve.59.r2546

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