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 with components U, V, and W, for a variety of values of the total mass mU. The remaining two components have masses mV = 0.2 - mU and mW = 0.8.
mU = 0.100![]() | mU = 0.105![]() | mU = 0.110![]() |
mU = 0.115![]() | mU = 0.120![]() | mU = 0.125![]() |
mU = 0.130![]() | mU = 0.135![]() | mU = 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 = 0.100![]() | mU = 0.105![]() | mU = 0.110![]() |
mU = 0.115![]() | mU = 0.120![]() | mU = 0.125![]() |
mU = 0.130![]() | mU = 0.135![]() | mU = 0.140![]() |