Computing phase diagrams using a convex hull algorithm (opens in new tab)

We present a simple universal computational algorithm for computing compositional phase diagrams of rocks and their melts at given temperature and pressure. It makes use of the mathematical concept of the convex hull of a set of points in the space spanned by the composition and the Gibbs free energy. All the complexities of determining the stability or separation of phases, the localization and orientation of tie lines, as well as the determina...