Universal dynamics of phase-field models for dendritic growth

Yung Tae Kim, Nikolas Provatas, Nigel Goldenfeld, Jonathan Dantzig

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)R2546-R2549
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number3
StatePublished - 1999

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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