Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids

  title={Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids},
  author={Lei Zhang and Long-Qing Chen and Qiang Du},
  journal={J. Sci. Comput.},
We investigate a phase-field model for homogeneous nucleation and critical nucleus morphology in solids. We analyze the mathematical properties of a free energy functional that includes the long-range, anisotropic elastic interactions. We describe the numerical algorithms used to search for the saddle points of such a free energy functional based on a minimax technique and the Fourier spectral implementation. It is demonstrated that the phase-field model is mathematically well defined and is… CONTINUE READING
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