## Nucleation in a Ternary Cahn-Morral Model

Part of my research has been focused on mathematical models for phase separation in multi-component alloys, in particular on the phenomenon of nucleation. Below you can see some movies of simulated phase separation in a ternary Cahn-Morral model in two space dimensions and with components $u$, $v$, and $w$, for a variety of values of the total mass $\mu_u$. The remaining two components have masses $\mu_v = 0.2 - \mu_u$ and $\mu_w = 0.8$. To see the movies, just click on the images.

$\mu_u = 0.100$ | $\mu_u = 0.105$ | $\mu_u = 0.110$ |

$\mu_u = 0.115$ | $\mu_u = 0.120$ | $\mu_u = 0.125$ |

$\mu_u = 0.130$ | $\mu_u = 0.135$ | $\mu_u = 0.140$ |

The following simulations are for the same mass values, but for larger interaction length. They show the formation of the nuclei more clearly.

$\mu_u = 0.100$ | $\mu_u = 0.105$ | $\mu_u = 0.110$ |

$\mu_u = 0.115$ | $\mu_u = 0.120$ | $\mu_u = 0.125$ |

$\mu_u = 0.130$ | $\mu_u = 0.135$ | $\mu_u = 0.140$ |