A Rapidly Converging Phase Field Model

@inproceedings{Chen2006ARC,
  title={A Rapidly Converging Phase Field Model},
  author={Xinfu Chen and Gunduz Caginalp},
  year={2006}
}
We propose a phase field model that approximates its limiting sharp interface model (free boundary problem) up to second order in interface thickness. A broad range of double-well potentials can be utilized so long as the dynamical coefficient in the phase equation is adjusted appropriately. This model thereby assures that computation with particular value of interface thickness ε, will differ at most by O(ε2) from the limiting sharp interface problem. As an illustration, the speed of a… CONTINUE READING

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References

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A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

  • S. Allen, J. Cahn
  • Acta Metall. 27
  • 1972
Highly Influential
6 Excerpts

Collected Works

  • J. W. Gibbs
  • Yale University Press, New Haven
  • 1948
Highly Influential
4 Excerpts

The existence of travelling waves for phase field equations and convergence to sharp interface models in the singular limit

  • G. Caginalp, Y. Nishiura
  • Quart. Appl. Math. 49
  • 1991
Highly Influential
2 Excerpts

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