# Three Phase Ternary Spinodal

A small fluctuation in an symmetric alloy $c_{A}=c_{B}=c_{C}=\frac{1}{3}$ decomposes into a an A-rich phase, B-rich phase and a C-rich phase.

simulations from phasefield modelling

A small fluctuation in an symmetric alloy $c_{A}=c_{B}=c_{C}=\frac{1}{3}$ decomposes into a an A-rich phase, B-rich phase and a C-rich phase.

Symmetric alloys form bicontinous microstructures. This can be seen on increasing the average composition of the allow from $x_B=0.35$ through $x_B=0.5$

In binary systems, symmetric alloys ($c_B = 0.5$) form biconinous microstructures. Anisotropy is incorporated by modifiying the fourth rank tensor term in the Cahn-Hilliard formulation.

An off-symmetric alloy ($c_B$=0.3) will not form bicontinous microstructures (above).

This simulation is a coupled Cahn-Hilliard and Allen-Cahn solution of 2D sintering. Code available here

A system of two grains simulated using the Fan-Chen Model. Code available here

Starting from a random distribution of A and B in a 3D grid, evolution under the Cahn-Hilliard equation results in this microstructure. Code available here

Logo of the Indian Institute of Science (IISc) evolving in reverse under the Cahn-Hillard equation. Code available here

Starting with a random distribution of A and B regions, evolution under the Cahn-Hilliard equation results in such a microstructure.

Code available here